Hisaya Tsutsui

Title
Professor of Mathematics
Email
Department
Mathematics Department
College
College of Arts & Sciences

Office Hours

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Hisaya Tsutsui

Dr. Hisaya (Hisa) Tsutsui is a dedicated and accomplished professor of mathematics. Originally from Osaka, Japan, Dr. Tsutsui has established a distinguished career in mathematics: education and research, marked by nearly two decades of impactful contributions to Embry-Riddle and the international mathematical community. He has been instrumental in international collaborations, including establishing a research and educational exchange agreement with Osaka Metropolitan University. He also founded the Annual Conference for the Exchange of Mathematical Ideas (EMI), fostering collaboration among mathematicians across institutions. A proud native of Osaka, Dr. Tsutsui has maintained strong ties to his home country, regularly delivering invited lectures at Japanese institutions. His work has strengthened global academic partnerships, providing students and faculty with unique cross-cultural research and educational opportunities. Despite a demanding 90-mile daily commute from Phoenix to Prescott, Dr. Tsutsui’s passion for teaching and research remains unwavering. His adventurous academic journey from Osaka, Japan, to the United States exemplifies resilience and a commitment to bridging cultural and academic communities.

  • Ph.D. - Doctor of Philosophy in Mathematics, Northern Illinois University
  • M.S. - Master of Science in Mathematics, Northern Illinois University
  • MA 243: Calculus & Analytical Geom III
  • MA 441: Math Methods Engr & Physics I

Classes taught (2018-2024): Embry-Riddle Aeronautical University

  • MA 441: Mathematical Methods for Science and Engineering I (3sh)
  • MA 399: Special Topics in Mathematics (Origamics*) (3sh)
  • MA 395F: Math for Game (3)
  • MA 335: Intro Linear/Abstract Algebra (3sh)
  • MA 299: Special Topics in Mathematics (3sh)
  • MA 243: Calculus and Analytical Geometry III (4sh)
  • MA 143: Precalculus Essential (3sh)

*Course Description (Origamics): The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning of geometry. In this unique and original class, origami is an object of mathematical exploration. The activities in this class differ from ordinary origami in that no figures of objects result. Rather, they lead the students to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the class, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing.

 R - Refereed Journals, C - Conference Proceedings, B - Book.

  1. H. Tsutsui, On one sided ideal structure of rings in which every proper ideal is prime, JP Journal of Algebra Number Theory and Applications Volume 64, Number 1, 2025, Pages 1-10 (2024) (R)
  2. H. Tsutsui, Superprime, fully weakly prime, and fully weakly semiprime Modules, Group, Algebra, Language and Related Areas in Computer Science, RIMS Kokyuroku (2024), Research Institute for Mathematical Sciences, Kyoto University. (C)
  3. H. Tsutsui, WFP rings and AFP Rings, Proceedings of the 10th Annual Conference of the Exchange of Mathematical Ideas (2024) (C)
  4. H. Tsutsui, Examples of Fully Prime Rings, Group, Ring, Language and related Area in Computer Science, RIMS Kokyuroku 2265 (2023), Research Institute for Mathematical Sciences, Kyoto University. (C)
  5. H. Tsutsui, Right Noetherian ring in which every ideal is prime, Proceedings of the 9th Annual Conference of the Exchange of Mathematical Ideas (2023) 10.5281/zendo.13761315 (C)
  6. H. Tsutsui, On FPR in which every ideal is projective, Proceedings of the 8th Annual Conference of the Exchange of Mathematical Ideas (2022) 10.5281/zendo.13761327 (C)
  7. Y. Hirano, B. Solie, H. Tsutsui, The semiprimeness of semigroup rings, JP Journal of Algebra Number Theory and Applications Vol 49, Issue 2, 121-138 (2021) (R)
  8. H. Tsutsui, Super prime rings, Algebraic System, Language, and Related Area in Computer science, RIMS Kokyuroku 2130 (2019), Research Institute for Mathematical Sciences, Kyoto university. (R)
  9. H. Tsutsui, Semigroup rings over semiprime ring semigroups, Proceedings of the Sixth Annual Conference of the Exchange of Mathematical Ideas 20-24 (2018) 10.5281/zenodo.2593809 (C)
  10. C. Briggs. Y. Hirano, and H. Tsutsui, Positive solutions to some systems of Diophantine equations, J. Integer Seq, 19(8), Article 16.8.4 (2016) (R)
  11. H. Tsutsui, On rings in which every ideal is prime, Proceedings of the 6th China-Japan-Korea International Conference on Ring Theory, 129-134 (2012) (C)
  12. Y. Hirano, E. Poon, and H. Tsutsui, A Generalization of Complete Reducibility, Communications in Algebra Vo 40, 2012,1901-1910. (R)
  13. Y. Hirano, E. Poon, and H. Tsutsui, Fully weakly prime rings, Proceedings of the 42nd Symposium on Ring Theory, 16-22, January 2010, Osaka, Japan. (C)
  14. Y. Hirano, E. Poon, and H. Tsutsui, On rings in which every ideal is weakly prime, Bull. Korean Math Soc. 47 (2010), No. 5, pp. 1077-1087 (R)
  15. Y. Hirano and H. Tsutsui, Fully k-primary rings, Communication in Algebra 37(2009), no7. (R)
  16. Y. Hirano and H. Tsutsui, On rings all of whose ideals are N-primary, Proceedings of the 40th Symposium on Ring Theory, 18-25, February 2008, Yamaguchi, Japan (C)
  17. H. Tsutsui, Step towards globalization of mathematics placement procedure, Proceedings of 18th Annual International Conference on Technology in Collegiate Mathematics, 240-242, (2007) Addison Wesley (C)
  18. K. Mellinger and H. Tsutsui, Structuring undergraduate research in abstract algebra, Missouri Journal of Mathematical Science Provisionally accepted for publication (Dec. 2005) (R)
  19. Y. Hirano and H. Tsutsui, On pairs of subrings with a common set of proper ideals, International Journal of Mathematics and Mathematical Sciences, Vol. 2005, No. 20 (Dec. 2005) (R)
  20. Y. Hirano and H. Tsutsui, Generalization of Semisimple Artinian Rings, Journal of Algebra and Its Applications, Vol. 4, No. 3(June 2005), 231-235 (R)
  21. Y. Hirano and H. Tsutsui, On rings with the same set of proper ideals, Proceedings of the 36th Symposium on Ring Theory, 123-128, February 2004, Tsukuba, Japan (C)
  22. A. Baxter, A. Mills, and H. Tsutsui, Mathematical Ideas for Non-science Majors, Pearson Education, Boston, 2004 (B)
  23. Y. Hirano and H. Tsutsui, Splitting Superhereditary Preradicals, Communication in Algebra31(2003), no11, 5553-5562. (R)
  24. H. Tsutsui, An introduction to the threshold secret sharing scheme, Mathematics and Computer Education, Volume 37 (2003), no3, 341-347. (R)
  25. H. Tsutsui, Survey of Mathematical Ideas for Non-science Majors (2nd edition), Houghton Mifflin, Boston, 2003 (B)
  26. H. Tsutsui, 100 problems for Survey of Mathematical Ideas, Pearson Education, Boston, 2003 (B)
  27. Y. Hirano and H. Tsutsui, On Splitting Superhereditary Preradicals, Proceedings of the 34th Symposium on Ring Theory, 7-20, January 2002, Tsukuba, Japan. (C)
  28. H. Tsutsui, An Animated Computer Simulation for Teaching Entry-Level Mathematical Skills and Laboratory for Curriculum Development, Proceedings of 14th Annual International Conference on Technology in Collegiate Mathematics, 280-281, Pearson Education, Boston, November 2002. (C)
  29. H. Tsutsui, Survey of Mathematical Ideas for Non-science Majors (Premiere edition), Houghton Mifflin, Boston, 2002 (B)
  30. H. Tsutsui, Fully Prime Rings and Related Rings, Proceedings of the 29th Symposium on Ring Theory, 139-145, January 1997, Tsukuba, Japan. (C)
  31. H. Tsutsui, Fully Prime Rings II, Communications in Algebra 24(1996), no 9, 2981-2989. (R)
  32. W.D. Blair and H. Tsutsui, Fully Prime Rings, Communications in Algebra 22(1994), no13, 5389-5400. (R)

Presentation given (2018- )

(1) [2024] The right ideal structure of a fully prime Ring, West Kobe Mathematics Seminar: Seminar on Non-Commutative Rings and Infinite Dimensional Algebras at University of Hyogo, Hyogo, Japan, October 7, 2024.

(2) [2024] WFP and AFP Rings, The 10th Annual Conference for the Exchange of Mathematical Ideas at ERAU, Prescott, AZ, August 12-13, 2024.

(3) [2024] Super Prime Modules, RIMS SYMPOSIUM 2024: "Group, Algebra, Language and Related Areas in Computer Science" at Research Institute for Mathematical Science, Kyoto University, Kyoto Japan, February 14-16, 2024.

(4) [2024] Introduction to Super Prime Modules, West Kobe Mathematics Seminar: Seminar on Groups, Algebras and Geometries at University of Hyogo, Hyogo, Japan, February, 13, 2024.

(5) [2023] Introduction to Fully Prime Rings, The 9th Annual Conference for the Exchange of Mathematical Ideas at University of Northern Iowa, Cedar Falls, IA, ERAU-Prescott, August 11-13, 2023.

(6) [2023] An injective test lemma and primitivity of certain classes of ring, RIMS SYMPOSIUM 2023: "Group, Ring, Language and Related Areas in Computer Science" at Research Institute for Mathematical Science, Kyoto University, Kyoto Japan, February 15-17, 2023.

(7) [2023] Is a right Noetherian prime fully two-sided idempotent ring primitive? West Kobe Mathematics Seminar: Workshop on infinite groups and algebras at University of Hyogo, Hyogo, Japan, February, 14, 2023.

(8) [2022] On FPR in which every ideal is projective, The 8th Annual Conference for the Exchange of Mathematical Ideas at ERAU, Prescott, AZ, August 13-14, 2022.

(9) [2022] On projectivity and primitivity of ideals in certain rings, RIMS SYMPOSIUM 2022: Logic, Algebraic system, Language and Related Areas in Computer Science at Research Institute for Mathematical Science, Kyoto University, Kyoto Japan (On-line conference), February 16-18, 2022.

(10) [2022] On primitivity of fully prime rings, West Kobe Mathematics Seminar: Seminar on groups, rings and group rings at University of Hyogo, Hyogo, Japan, March, 16, 2022.

(11) [2021] Some aspects of TTF theory, RIMS SYMPOSIUM 2021: Logic, Language, Algebraic system and Related Areas in Computer Science at Research Institute for Mathematical Science, Kyoto University, Kyoto Japan (On-line conference), February 17-19, 2021.

(12) [2020] Non-singularity and primitivity of Fully Prime Rings, RIMS SYMPOSIUM 2020: "Algebraic system, Logic, Language, and Related Areas in Computer Science" at Research Institute for Mathematical Science, Kyoto University, Kyoto Japan, February 17-19, 2020.

(13) [2020] A Primitive Ring without Minimal Right Ideals, West Kobe Mathematics Seminar: Conference of groups, rings and group rings II at University of Hyogo, Hyogo, Japan, February 20, 2020.

(14) [2019] Superprime Ideals, a Preliminary Report, The 7th Annual Conference for the Exchange of Mathematical Ideas at University of Northern Iowa, Cedar Falls, IA, June 14-15, 2019.

(15) [2019] Superprime Rings, RIMS SYMPOSIUM 2019: Algebraic system, Logic, Language, and Related Areas in Computer Science" at Research Institute for Mathematical Science, Kyoto University, Kyoto Japan (On-line conference), February 20-22, 2019.

(16) [2018] Semigroup rings over semiprime ring semigroups, The 6th Annual Conference for the Exchange of Mathematical Ideas at ERAU, Prescott, AZ, July 21-22, 2018


Invited Addresses (2018- )

  1. Study Abroad: a mathematician’s point of view, invited by International Study Group at Osaka Prefectural Hanazon Senior High School, Osaka, Japan, October 10, 2024.
  2. From Osaka to USA, and now: Overcoming Racial and Linguistic Differences to Thrive in the International Community, invited by National Nara Women’s College, Nara, Japan, June 27, 2024.
  3. A mathematician19, 2024)'s American Experiences II, invited by Osaka Metropolitan University, Osaka, JAPAN, May 4, 2024.
  4. Two Mathematicians' American Experience, with Tatsunari Watanabe, invited by Osaka Prefecture University, Osaka, Japan, July 17, 2019.
  5. Osaka People's American Experiences, invited by Osaka Prefecture University, Osaka, Japan, May 24, 2018
  6. Economics vs. Math, International Seminar of the Faculty of Economics, University of Hyogo, Hyogo, Japan, July 18, 2017.
  7. America and then Malaysia, International Seminar of the Faculty of Economics, University of Hyogo, Hyogo, Japan, October 17, 2016.


AMS REVIEWS (MR) (2018-2024)

MR4666000 - Zivari-Kazempour, A., An identity related to -centralizers in semiprime rings, J. Algebr. Syst. 12 (2024-2025), no. 2., reviewed by Hisaya Tsutsui

MR4543352 - Groenewald, Nico, On weakly right primary ideals, Palest. J. Math. 11 (2022), no. 4, 282–292, reviewed by Hisaya Tsutsui

MR4484511 - Oukhtite, Lahcen, Mamouni, Abdellah, Zerra, Mohammed, Some commutativity criteria involving endomorphism conditions on prime ideals, Hacet. J. Math. Stat. 51 (2022), no. 5, 1280-1287, reviewed by Hisaya Tsutsui

MR4156327 - Verhulst, Nikolaas D., Counting finite-dimensional algebras over finite field, Results Math. 75 (2020), no. 4, Paper No. 153, 9 pp., reviewed by Hisaya Tsutsui

MR4142072 - Ahmadi, M., Moussavi, A., Rings whose singular ideals are nil, Comm. Algebra 48 (2020), no. 11, 4796-4808, reviewed by Hisaya Tsutsui

MR3989616 - van Wyk, Leon, Ziembowski, Michal, Solution of an open problem on cofaithful one-sided ideals, J. Algebra 536 (2019), 229-241, reviewed by Hisaya Tsutsui


Anonymous referee for submissions to professional journals

  • Journal of Algebra and its applications
  • International Journal of Mathematics and Mathematical Sciences
  • Communications in Algebra
  • The International Electronic Journal of Algebra.



Selected Accomplishment and Services (2018-2024


International Universities Educational and Research Partnership Agreement (2019)

I successfully made an agreement for educational and scientific cooperation between ERAU-Prescott and Osaka Prefecture University (OPU), Osaka, Japan. The university is now merged with Osaka City University and now the largest public university in Japan and renamed as Osaka Metropolitan University (OMU). OMU is a major university in Japan with strong engineering departments. The agreement enables us t0

(a) Conduct joint research activities,

(b) Exchange of information in the area of scientific education and research which is of mutual interest to both ERAU and OPU,

(c) Exchange of faculty members for research, lectures, and discussions,

(d) Exchange of graduate and undergraduate students for study and research, and

(e) Access to the various facilities of each institution.


Founded a conference in partnership with other universities (2012-2024)

I founded EMI, the Annual Conference for the Exchange of Mathematical Ideas series in 2012 and has run every year since then except in 2020 and 2021, when we suspended the conference because of the COVID-19 pandemic. The aim of the annual conference is to improve communication among mathematicians in different specializations in order to enhance and stimulate their research. Experts in different specializations are invited internationally to give general talks on their research. The conference was established in collaboration with mathematics departments of ERAU - Prescott, University of Northern Iowa, Cedar Falls, IA and the University of Mary Washington University, Fredericksburg, VA. As a result, several joint papers have been published on refereed journals. In recent years, we have received grants from the NSF and publishes our own conference proceedings.


Chair, department of Mathematics (ERAU-Prescott: F2009-S2019)

I was the chair of the department since 2009 and stepped down after Spring 2019 semester. As the department chair, I provided academic leadership in the development and delivery of mathematics courses in support of the University mission and strategic plans. I managed the campus’ mathematics curriculum, advising students for their math classes, served as the math minor coordinator, and provided direct supervision of mathematics faculty members as well as serving as a mentor for tenure track faculty members. I was directly responsible for hiring of 6 tenure track faculty members out of whom 4 have earned their tenure by Spring 2024.