JNU Prof. Oh Jun-seok, Korean Thesis Award of the Korean Mathematical Society
· Writer : 제주대학교 ·Date : 2024-11-11 14:38:13 ·View : 89
JNU Professor Oh Jun-seok (Department of Mathematics Education) won the 2024 "Korean Thesis Award" from the Korean Mathematical Society at the society's regular general meeting and autumn research conference.
The Korean Mathematical Society's Domestic Thesis Award is given to researchers who have made significant contributions to academic advancement in recognition of the excellence of their papers published in mathematics-related journals in Korea.
Prof. Oh and Prof. Jang Kyu-hwan of Incheon National University received the award for their paper, "Prime Factorization of Ideals in Commutative Rings" (Vol. 60 (2023), No. 2, pp. 407-464), which was published in the Journal of the Korean Mathematical Society.
Their research builds upon the Fundamental Theorem of Arithmetic, which states that any integer greater than 1 can be uniquely expressed as a product of prime numbers. This theorem has been generalized to structures such as the Principal Ideal Domain (PID), Unique Factorization Domain (UFD), Dedekind Domain, π-Domain, and Krull Domain. Apart from Krull Domains, other domains can also be extended to commutative rings with zero divisors in two distinct ways.
In his paper, Prof. Oh extended the concept of Krull domains to commutative rings with zero divisors and explored the factorization properties of ideals, making a significant contribution to the study of factorization in commutative rings.
