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
Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal. A proper ideal I of R is called a weakly 2-absorbing primary ideal of R if whenever a, b, c ∈ R and 0 ≠ abc ∈ I, then ab ∈ I or ac ∈ √I or bc ∈ √I. A number of results concerning weakly 2-absorbing primary ideals and examples of weakly 2-absorbing primary ideals are given.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
D. D. Anderson / 2008 / Generalizations of prime ideals / Comm. Algebra 36(2):686~696
D. D. Anderson / 2003 / Weakly prime ideals / Houston J. Math 29(4):831~840
D. F. Anderson / 2011 / On n-absorbing ideals of commutative rings / Comm. Algebra 39(5):1646~1672
S. Ebrahimi Atani / 2005 / On weakly primary ideals / Georgian Math. J 12(3):423~429
A. Badawi / 2007 / On 2-absorbing ideals of commutative rings / Bull. Austral. Math. Soc 75(3):417~429
D. D. Anderson / 2003 / Weakly prime ideals / Houston J. Math 29(4):831~840
D. F. Anderson / 2011 / On n-absorbing ideals of commutative rings / Comm. Algebra 39(5):1646~1672
S. Ebrahimi Atani / 2005 / On weakly primary ideals / Georgian Math. J 12(3):423~429
A. Badawi / 2007 / On 2-absorbing ideals of commutative rings / Bull. Austral. Math. Soc 75(3):417~429
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On 2-Absorbing and Weakly 2-Absorbing Primary Ideals of a Commutative Semiring
Kyungpook Mathematical Journal
2016 .01
-
Some results on 1-absorbing primary and weakly 1-absorbing primary ideals of commutative rings
대한수학회보
2021 .09
-
On weakly $(m,n)$-prime ideals of commutative rings
대한수학회보
2024 .05
-
ON GRADED 2-ABSORBING PRIMARY AND GRADED WEAKLY 2-ABSORBING PRIMARY IDEALS
대한수학회지
2017 .01
-
On Graded 2-Absorbing and GradedWeakly 2-Absorbing Primary Ideals
Kyungpook Mathematical Journal
2017 .01
-
$2$-Absorbing $\delta$-primary Ideals in Commutative Rings
Kyungpook Mathematical Journal
2017 .06
-
On strongly $1$-absorbing primary ideals of commutative rings
대한수학회보
2020 .01
-
On $\phi$-$n$-absorbing primary ideals of commutative rings
대한수학회지
2016 .01
-
On 2-absorbing Primary Ideals of Commutative Semigroup
Kyungpook Mathematical Journal
2022 .09
-
Note on n-(1,r)-ideals of commutative rings
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
2-absorbin δ-semiprimary Ideals of Commutative Rings
Kyungpook Mathematical Journal
2021 .12
-
On Weakly Prime and Weakly 2-absorbing Modules over Noncommutative Rings
Kyungpook Mathematical Journal
2021 .01
-
Radical of an ideal and a primary ideal of an $L$-subring
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2023 .06
-
On graded pi-1-absorbing prime ideals
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
ON WEAKLY 2-ABSORBING PRIMARY SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
대한수학회지
2017 .01
-
Weakly prime ideals in commutative semigroups
대한수학회보
2019 .01
-
On $n$-absorbing ideals and the $n$-Krull dimension of a commutative ring
대한수학회지
2016 .01
-
More on the 2-prime ideals of commutative rings
대한수학회보
2020 .01
-
On fractional n-Absorbing ideals of integral domains
Proceedings of the Jangjeon Mathematical Society
2020 .01
-
On weakly completely quasi primary and completely quasi primary ideals in ternary semirings
대한수학회논문집
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0