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, seminormality and $t$-closedness in ring extensions involving amalgamated algebras are studied. Let $R \subseteq T$ be a ring extension with ideals $I \subseteq J$, respectively such that $J$ is contained in the conductor of $R$ in $T$. Assume that $T$ is integral over $R$. Then it is shown that $(R \bowtie I, T \bowtie J)$ is a seminormal (resp., $t$-closed) pair if and only if $(R, T)$ is a seminormal (resp., $t$-closed) pair.
목차
등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
M. Chhiti / 2012 / Some homological properties of amalgamated dupli-cation of a ring along an ideal / Bull. Iranian Math. Soc 38:507~515
M. D'Anna / 2009 / Commutative Algebra and Its Applications / Walter de Gruyter :241~252
M. D'Anna / 2010 / Properties of chains of prime ideals in an amalgamated algebra along an ideal / J. Pure Appl. Algebra 214:1633~1641
D. Dobbs / 2011 / Normal pairs with zero-divisors / J. Algebra Appl 10:335~356
T. S. Long / 2014 / Ring Extensions Involving Amalgamated Duplications
M. D'Anna / 2009 / Commutative Algebra and Its Applications / Walter de Gruyter :241~252
M. D'Anna / 2010 / Properties of chains of prime ideals in an amalgamated algebra along an ideal / J. Pure Appl. Algebra 214:1633~1641
D. Dobbs / 2011 / Normal pairs with zero-divisors / J. Algebra Appl 10:335~356
T. S. Long / 2014 / Ring Extensions Involving Amalgamated Duplications
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On almost quasi-coherent rings and almost von Neumann rings
대한수학회보
2022 .09
-
ON 2-GENERATING INDEX OF FINITE DIMENSIONAL LEFT-SYMMETRIC ALGEBRAS
대한수학회지
2017 .01
-
On $S$-multiplication rings
대한수학회지
2023 .03
-
Bi-closure systems and various completeness
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2023 .06
-
Almost weakly finite conductor rings and weakly finite conductor rings
대한수학회논문집
2022 .04
-
Construction of an HV-BE-algebra from a BE-algebra based on “Begins Lemma”
순수 및 응용수학
2021 .08
-
B\'ezout rings and weakly B\'ezout rings
대한수학회보
2022 .07
-
UN rings and group rings
대한수학회보
2023 .01
-
Cellularity of a Larger Class of Diagram Algebras
Kyungpook Mathematical Journal
2015 .01
-
APPROXIMATE QUARTIC LIE -DERIVATIONS
순수 및 응용수학
2015 .01
-
Jordan higher derivations on trivial extension algebras
대한수학회논문집
2016 .01
-
COMPOSITE HURWITZ RINGS AS ARCHIMEDEAN RINGS
East Asian Mathematical Journal
2017 .01
-
Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from
Kyungpook Mathematical Journal
2020 .01
-
Fuzzy Complete Lattices and Distance Spaces
순수 및 응용수학
2021 .11
-
A Note on Theta Pairs for BCI-algebras
Kyungpook Mathematical Journal
2024 .06
-
CHARACTERIZATIONS OF CENTRALIZERS AND DERIVATIONS ON SOME ALGEBRAS
대한수학회지
2017 .01
-
$L$-fuzzy ideals in universal algebras
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2019 .01
-
MORE GENERAL FORMS OF (∈, ∈ VQ<sub>k</sub>) FUZZY FILTERS OF ORDERED SEMIGROUPS
호남수학학술지
2017 .01
-
A generalized approach towards normality for topological spaces
한국수학논문집
2021 .09
-
Prime ideals and maximal ideals on commutative $L$-algebras
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2024 .02
이 논문의 저자 정보
최근 본 자료
댓글(0)
0