지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The purpose of this paper is to study the structure of quotient rings $R/P$ where $R$ is an arbitrary ring and $P$ is a prime ideal of $R$. Especially, we will establish a relationship between the structure of this class of rings and the behavior of derivations satisfying algebraic identities involving prime ideals. Furthermore, the characteristic of the quotient ring $R/P$ has been determined in some situations.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
S. Ali / 2014 / On ∗-centralizing mappings in rings with involution / Georgian Math. J. 21(1):25~28
H. E. Bell / 1994 / On commutativity and strong commutativity-preserving maps / Canad. Math. Bull 37(4):443~447
M. Breˇsar / 1993 / Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings / Trans. Amer. Math. Soc. 335(2):525~546
M. Breˇsar / 1994 / Strong commutativity preserving maps of semiprime rings / Canad. Math. Bull 37(4):457~460
Q. Deng / 1996 / On strong commutativity preserving mappings / Results Math 30(3-4):259~263
H. E. Bell / 1994 / On commutativity and strong commutativity-preserving maps / Canad. Math. Bull 37(4):443~447
M. Breˇsar / 1993 / Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings / Trans. Amer. Math. Soc. 335(2):525~546
M. Breˇsar / 1994 / Strong commutativity preserving maps of semiprime rings / Canad. Math. Bull 37(4):457~460
Q. Deng / 1996 / On strong commutativity preserving mappings / Results Math 30(3-4):259~263
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Relationship between the structure of a quotient ring and the behavior of certain additive mappings
대한수학회논문집
2022 .04
-
Structure of $3$-prime near-rings satisfying some identities
대한수학회논문집
2019 .01
-
On the commutativity of prime rings using some differential identities
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
Identities in a Prime Ideal of a Ring Involving Generalized Derivations
Kyungpook Mathematical Journal
2021 .12
-
Commutativity of multiplicative $b$-generalized derivations of prime rings
한국수학논문집
2023 .03
-
More on the 2-prime ideals of commutative rings
대한수학회보
2020 .01
-
Study of Generalized Derivations in Rings with Involution
Kyungpook Mathematical Journal
2019 .01
-
Commutativity criteria of prime rings involving two endomorphisms
대한수학회논문집
2022 .07
-
Some functional identities arising from derivations
대한수학회논문집
2023 .01
-
Results of 3-derivations and commutativity for prime rings with involution involving symmetric and skew symmetric components
대한수학회논문집
2024 .01
-
Study of quotient near-rings with additive maps
대한수학회논문집
2024 .04
-
Commutativity of Jordan ideals in 3-prime near-rings with derivations
대한수학회논문집
2018 .01
-
On differential identities involving partitioning ideals of semirings
대한수학회논문집
2024 .07
-
On derivations and commuting like elements in prime rings
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
Generalized Derivations on *-prime Rings
Kyungpook Mathematical Journal
2018 .01
-
A NOTE ON GENERALIZED ∗-DERIVATIONS OF PRIME ∗-RINGS
충청수학회지
2017 .01
-
On strongly $1$-absorbing primary ideals of commutative rings
대한수학회보
2020 .01
-
Lie Ideals and Commutativity of Semiprime Rings with Generalized Derivation
East Asian Mathematical Journal
2020 .01
-
On pseudo 2-prime ideals and almost valuation domains
대한수학회보
2021 .01
-
Posner's First Theorem for ∗-ideals in Prime Rings with Involution
Kyungpook Mathematical Journal
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0