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.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.1
- 수록면
- 93 - 104 (12page)
- DOI
- 10.4134/CKMS.c230134
이용수
초록· 키워드
오류제보하기
Let $R$ be a commutative ring with identity. In this paper, we introduce a new class of ideals called the class of strongly quasi $J$-ideals lying properly between the class of $J$-ideals and the class of quasi $J$-ideals. A proper ideal $I$ of $R$ is called a strongly quasi $J$-ideal if, whenever $a$, $b\in R$ and $ab\in I$, then $a^{2}\in I$ or $b\in {\rm Jac}(R)$. Firstly, we investigate some basic properties of strongly quasi $J$-ideals. Hence, we give the necessary and sufficient conditions for a ring $R$ to contain a strongly quasi $J$-ideals. Many other results are given to disclose the relations between this new concept and others that already exist. Namely, the primary ideals, the prime ideals and the maximal ideals. Finally, we give an idea about some strongly quasi $J$-ideals of the quotient rings, the localization of rings, the polynomial rings and the trivial rings extensions.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On strongly $1$-absorbing primary ideals of commutative rings
대한수학회보
2020 .01
-
Rings with ideal-symmetric ideals
대한수학회보
2017 .01
-
Rings in which every ideal contained in the set of zero-divisors is a d-ideal
대한수학회논문집
2022 .01
-
Radical of an ideal and a primary ideal of an $L$-subring
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2023 .06
-
Note on n-(1,r)-ideals of commutative rings
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
QUASI AND BI IDEALS IN LEFT ALMOST RINGS
호남수학학술지
2019 .01
-
Erratum : Rings in which every ideal contained in the set of zero-divisors is a d-ideal
대한수학회논문집
2023 .01
-
On strongly quasi primary ideals
대한수학회보
2019 .01
-
Characterization of regular semigroup by (∈, ∈∨(k*, q_k))-fuzzy ideals
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2017 .03
-
GENERALIZED QUASI-PRIMARY RINGS
Advanced Studies in Contemporary Mathematics
2018 .01
-
On graded $J$-ideals over graded rings
대한수학회논문집
2023 .04
-
On quasi-commutative rings
대한수학회지
2016 .01
-
More on the 2-prime ideals of commutative rings
대한수학회보
2020 .01
-
Quasi-commutativity related to powers
대한수학회보
2017 .01
-
Strongly Prime Ideals and Primal Ideals in Posets
Kyungpook Mathematical Journal
2016 .01
-
POWERS OF THE AUGMENTATION IDEAL OF A CYCLIC GROUP RING
호남수학학술지
2015 .01
-
N-pure ideals and mid rings
대한수학회보
2022 .09
-
On NI and quasi-NI rings
한국수학논문집
2016 .01
-
Quasi-interior ideals and fuzzy quasi-interior ideals of semigroups
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2020 .01
-
ON THE (n, d)th f-IDEALS
대한수학회지
2015 .01
최근 본 자료
댓글(0)
0