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.
이용수
초록· 키워드
오류제보하기
The aim in this note is to describe some classes of rings in relation to factorization by prime radical, upper nilradical, and Jacobson radical. We introduce the concepts of {\it tpr} ring, {\it tunr} ring, and {\it tjr} ring in the process, respectively. Their ring theoretical structures are investigated in relation to various sorts of factor rings and extensions. We also study the structure of noncommutative tpr (tunr, tjr) rings of minimal order, which can be a base of constructing examples of various ring structures. Various sorts of structures of known examples are studied in relation with the topics of this note.
목차
등록된 정보가 없습니다.
참고문헌 (33)
참고문헌 신청
S. A. Amitsur / 1954 / A general theory of radicals III / Amer. J. Math 76:126~136
S. A. Amitsur / 1956 / Radicals of polynomial rings / Canad. J. Math 8:355~361
D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26(7):2265~2272
R. Antoine / 2008 / Nilpotent elements and Armendariz rings / J. Algebra 319(8):3128~3140
E. P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc 18:470~473
S. A. Amitsur / 1956 / Radicals of polynomial rings / Canad. J. Math 8:355~361
D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26(7):2265~2272
R. Antoine / 2008 / Nilpotent elements and Armendariz rings / J. Algebra 319(8):3128~3140
E. P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc 18:470~473
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
UN rings and group rings
대한수학회보
2023 .01
-
On U-group Rings
대한수학회논문집
2018 .01
-
A generalization of symmetric ring property
대한수학회보
2016 .01
-
Structures Related to Right Duo Factor Rings
Kyungpook Mathematical Journal
2021 .01
-
Jacobson Radical and Nilpotent Elements
East Asian Mathematical Journal
2018 .01
-
Annihilating property of zero-divisors
대한수학회논문집
2021 .01
-
Abelian property concerning factorization modulo radicals
한국수학논문집
2016 .01
-
N-pure ideals and mid rings
대한수학회보
2022 .09
-
On a special class of matrix rings
대한수학회논문집
2024 .04
-
ON v-MAROT MORI RINGS AND C-RINGS
대한수학회지
2015 .01
-
Symmetric property of rings with respect to the Jacobson radical
대한수학회논문집
2019 .01
-
On annihilations of ideals in skew monoid rings
대한수학회지
2016 .01
-
A generalization of the symmetry property of a ring via its endomorphism
대한수학회논문집
2024 .04
-
On a generalization of right duo rings
대한수학회보
2016 .01
-
On weakly local rings
한국수학논문집
2020 .01
-
On Axis-commutativity of Rings
Kyungpook Mathematical Journal
2021 .09
-
Annihilating content in polynomial and power series rings
대한수학회지
2019 .01
-
Rings with a right duo factor ring by an ideal contained in the center
대한수학회보
2022 .05
-
GENERALIZED QUASI-PRIMARY RINGS
Advanced Studies in Contemporary Mathematics
2018 .01
-
Reversibility and symmetry over centers
대한수학회지
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0