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
In this paper, we introduce the notion of pseudo 2-prime ideals in commutative rings. Let $R$ be a commutative ring with a nonzero identity. A proper ideal $P$ of $R$ is said to be a pseudo 2-prime ideal if whenever $xy\in P$ for some $x,y\in R$, then $x^{2n}\in P^{n}$ or $y^{2n}\in P^{n}$ for some $n\in \mathbb{N}$. Various examples and properties of pseudo 2-prime ideals are given. We also characterize pseudo 2-prime ideals of PID's and von Neumann regular rings. Finally, we use pseudo 2-prime ideals to characterize almost valuation domains (AV-domains).
목차
등록된 정보가 없습니다.
참고문헌 (17)
참고문헌 신청
D. D. Anderson / 2019 / Module-theoretic generalization of commutative von Neumann regular rings / Communications in Algebra 47(11):4713~4728
D. D. Anderson / 2009 / Idealization of a Module / Journal of Commutative Algebra 1(1):3~56
D.D Anderson / 1991 / Almost Bézout domains / Journal of Algebra 142(2):285~309
Ayman Badawi / 1999 / On divided commutative rings / Communications in Algebra 27(3):1465~1474
Ayman Badawi / 2007 / On 2-absorbing ideals of commutative rings / Bulletin of the Australian Mathematical Society 75(3):417~429
D. D. Anderson / 2009 / Idealization of a Module / Journal of Commutative Algebra 1(1):3~56
D.D Anderson / 1991 / Almost Bézout domains / Journal of Algebra 142(2):285~309
Ayman Badawi / 1999 / On divided commutative rings / Communications in Algebra 27(3):1465~1474
Ayman Badawi / 2007 / On 2-absorbing ideals of commutative rings / Bulletin of the Australian Mathematical Society 75(3):417~429
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
More on the 2-prime ideals of commutative rings
대한수학회보
2020 .01
-
On weakly $(m,n)$-prime ideals of commutative rings
대한수학회보
2024 .05
-
Note on n-(1,r)-ideals of commutative rings
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
CHARACTERIZATION OF PRIME SUBMODULES OF A FREE MODULE OF FINITE RANK OVER A VALUATION DOMAIN
대한수학회지
2017 .01
-
Graded Pseudo-Valuation Rings
대한수학회지
2024 .09
-
Fuzzy Prime Ideals of Pseudo- LBCK-algebras
Kyungpook Mathematical Journal
2015 .01
-
On graded pi-1-absorbing prime ideals
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
Some finiteness results for co-associated primes of generalized local homology modules and applications
대한수학회지
2020 .01
-
ON FUZZY k？IDEALS, k？FUZZY IDEALS AND FUZZY 2？PRIME IDEALS IN Γ？SEMIRINGS
Journal of applied mathematics & informatics
2016 .01
-
On strongly $1$-absorbing primary ideals of commutative rings
대한수학회보
2020 .01
-
A note on minimal prime ideals
대한수학회보
2017 .07
-
A torsion graph determined by equivalence classes of torsion elements and associated prime ideals
대한수학회보
2024 .05
-
ON PSEUDO BH-ALGEBRAS
호남수학학술지
2015 .01
-
On $L$-fuzzy semi-prime ideals of a poset and separation theorems
한국수학논문집
2021 .01
-
$L$-fuzzy prime ideals and maximal $L$-fuzzy ideals of a poset
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2019 .01
-
Some remarks on $S$-valuation domains
대한수학회논문집
2024 .01
-
Commutativity with algebraic identities involving prime ideals
대한수학회논문집
2020 .01
-
Radical of an ideal and a primary ideal of an $L$-subring
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2023 .06
-
Structures of Pseudo Ideal and Pseudo Atom in a Pseudo Q-Algebra
Kyungpook Mathematical Journal
2016 .01
-
Uppers to zero in polynomial rings over graded domains and UM$t$-domains
대한수학회보
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0