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
- 2024.5
- 수록면
- 797 - 811 (15page)
- DOI
- 10.4134/BKMS.b230409
이용수
초록· 키워드
오류제보하기
In this paper, we define the torsion graph determined by equivalence classes of torsion elements and denote it by $A_{E}(M)$. The vertex set of $A_{E}(M)$ is the set of equivalence classes $\{[x]\mid x\in T(M)^{*}\}$, where two torsion elements $x, y\in T(M)^{*} $ are equivalent if $ann(x)= ann(y)$. Also, two distinct classes $[x]$ and $[y]$ are adjacent in $A_{E}(M)$, provided that $ann(x)ann(y)M=0$. We shall prove that for every torsion finitely generated module $M$ over a Dedekind domain $R$, a vertex of $A_{E}(M)$ has degree two if and only if it is an associated prime of $M$.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Some finiteness results for co-associated primes of generalized local homology modules and applications
대한수학회지
2020 .01
-
More on the 2-prime ideals of commutative rings
대한수학회보
2020 .01
-
SOME RESULTS ON ORDER PRIME GRAPHS AND GENERAL ORDER PRIME GRAPHS
Proceedings of the Jangjeon Mathematical Society
2021 .04
-
A note on prime graph of a finite ring
Proceedings of the Jangjeon Mathematical Society
2019 .01
-
On pseudo 2-prime ideals and almost valuation domains
대한수학회보
2021 .01
-
On weakly $(m,n)$-prime ideals of commutative rings
대한수학회보
2024 .05
-
CHARACTERIZATION OF PRIME SUBMODULES OF A FREE MODULE OF FINITE RANK OVER A VALUATION DOMAIN
대한수학회지
2017 .01
-
k-PRIME CORDIAL GRAPHS
Journal of applied mathematics & informatics
2016 .01
-
On graded pi-1-absorbing prime ideals
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
On $L$-fuzzy semi-prime ideals of a poset and separation theorems
한국수학논문집
2021 .01
-
Chromatic number of the zero-divisor graphs over modules
대한수학회논문집
2019 .01
-
S(N)-almost prime submodules
Proceedings of the Jangjeon Mathematical Society
2019 .01
-
On the denominator of Dedekind sums
대한수학회보
2019 .01
-
Goldbach-Linnik type problems with unequal powers of primes
대한수학회지
2022 .03
-
THE ANNIHILATOR IDEAL GRAPH OF A COMMUTATIVE RING
대한수학회지
2015 .01
-
On rings whose annihilating-ideal graphs are blow-ups of a class of Boolean graphs
대한수학회지
2017 .01
-
SOME 4-TOTAL PRIME CORDIAL LABELING OF GRAPHS
Journal of applied mathematics & informatics
2019 .01
-
Commutativity with algebraic identities involving prime ideals
대한수학회논문집
2020 .01
-
On the 2-absorbing submodules and zero-divisor graph of equivalence classes of zero divisors
대한수학회논문집
2023 .01
-
A note on minimal prime ideals
대한수학회보
2017 .07
최근 본 자료
댓글(0)
0