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
We study the structure of central elements in relation with polynomial rings and introduce {\it quasi-commutative}as a generalization of commutative rings. The Jacobson radical of the polynomial ring over a quasi-commutative ring is shown to coincide with the set of all nilpotent polynomials; and locally finite quasi-commutative rings are shown to be commutative. We also provide several sorts of examples by showing the relations between quasi-commutative rings and other ring properties which have roles in ring theory. We examine next various sorts of ring extensions of quasi-commutative rings.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
S. A. Amitsur / 1956 / Radicals of polynomial rings / Canad. J. Math 8:355~361
D. D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26(7):2265~2272
E. P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc 18:470~473
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
G. F. Birkenmeier / 1993 / Completely prime ideals and associated radicals / Proc. Biennial Ohio State-Denison Conference 1992 :102~129
D. D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26(7):2265~2272
E. P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc 18:470~473
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
G. F. Birkenmeier / 1993 / Completely prime ideals and associated radicals / Proc. Biennial Ohio State-Denison Conference 1992 :102~129
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Quasi-commutativity related to powers
대한수학회보
2017 .01
-
On weakly left quasi-commutative rings
대한수학회논문집
2017 .07
-
On Axis-commutativity of Rings
Kyungpook Mathematical Journal
2021 .09
-
Quasi-completeness and localizations of polynomial domains: A conjecture from ``Open problems in commutative ring theory''
대한수학회보
2016 .01
-
UN rings and group rings
대한수학회보
2023 .01
-
GENERALIZED QUASI-PRIMARY RINGS
Advanced Studies in Contemporary Mathematics
2018 .01
-
Rings with a right duo factor ring by an ideal contained in the center
대한수학회보
2022 .05
-
The $u$-$S$-weak global dimensions of commutative rings
대한수학회논문집
2023 .01
-
Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from
Kyungpook Mathematical Journal
2020 .01
-
On commutativity of regular products
대한수학회보
2018 .01
-
Structures Related to Right Duo Factor Rings
Kyungpook Mathematical Journal
2021 .01
-
On U-group Rings
대한수학회논문집
2018 .01
-
Quasi-commutative semigroups of finite order related to Hamiltonian groups
대한수학회보
2015 .01
-
The Source of Semiprimeness of Rings
대한수학회논문집
2018 .01
-
Jacobson Radical and Nilpotent Elements
East Asian Mathematical Journal
2018 .01
-
A generalization of symmetric ring property
대한수학회보
2016 .01
-
Some new characterizations of quasi-Frobenius rings by using pure-injectivity
대한수학회보
2020 .01
-
On NI and quasi-NI rings
한국수학논문집
2016 .01
-
A generalization of the symmetry property of a ring via its endomorphism
대한수학회논문집
2024 .04
-
On right regularity of commutators
대한수학회보
2022 .07
이 논문의 저자 정보
최근 본 자료
댓글(0)
0