논문KCI 등재
Prime ideals of subrings of matrix rings
대한수학회 (The Korean Mathematical Society)|2004.04|대한수학회논문집 (Communications of the KMS)|제19권 제2호|pp. 211-217
1
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In a ring R_n(K,J) where K is a commutative ringwith identity and J is an ideal of K, all prime ideals ofR_n(K,J) are of the form either M_n(P) or R_n(P,Pcap J).Therefore there is a one to one correspondence between primeideals of K not containing J and prime ideals of R_n(K,J).
참고문헌 (3)
- "On total nilpotent algebra"
- "Ideals of some matrix rings", 28(7), pp.3503~3513 (2000)
- "V. M. Levchuk \paper Relation of theunitriangular group to certain rings \jour Algebra and logic \vol15 \issue 5 \yr 1976 \pages 348--360"
관련 논문AI추천
Derivations on subrings of matrix rings박준원, 천장호대한수학회 · 대한수학회보2006 · 제43권 제3호Rings whose prime radicals are completely primeByung-Ok Kim, Kwang-Ho Kang, Sang-Jig Nam, Su-Ho Sohn대한수학회 · 대한수학회논문집2005 · 제20권 제3호On the maximality of prime ideals in exchange ringsChan Yong Hong, Nam Kyun Kim, Tai Keun Kwak대한수학회 · 대한수학회논문집2002 · 제17권 제3호One-sided Prime Ideals in SemiringsMuhammad Shabir, Muhammad Sohail Iqbal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호On rings containing a p-injective maximal left idealJin Yong Kim, Nam Kyun Kim대한수학회 · 대한수학회논문집2003 · 제18권 제4호Rings whose maximal one-sided ideals are two-sided이양, 허찬, Chol On Kim, Sung Hee Jang대한수학회 · 대한수학회보2002 · 제39권 제3호
이 간행물의 다른 논문 (16건)
On the structure of orthomodular lattices satisfying loop lemmaEunsoon Park, Mi Mi Kimpp. 197-204Infinitely many primes of the form $An+1$ Another Elementary ProofJisang Yoopp. 205-210Closure operators on BL-algebrasYong Chan Kim, Jung Mi Kopp. 219-232Regularity of the generalized centroid of semi-prime gamma ringsMehmet Ali Ozturk, Young Bae Junpp. 233-242Fuzzy Subalgebras of $BG$-algebras이현덕, 안선신pp. 243-251