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 observe a structure on the products of coefficients of nilpotent polynomials, introducing the concept of n-semi-Armendariz that is a generalization of Armendariz rings. We first obtain a classification of reduced rings, proving that a ring R is reduced if and only if the n by n upper triangular matrix ring over R is n-semi-Armendariz. It is shown that n-semi-Armendariz rings need not be (n+1)-semi-Armendariz and vice versa. We prove that a ring R is n-semi-Armendariz if and only if so is the polynomial ring over R. We next study interesting properties and useful examples of n-semi-Armendariz rings, constructing various kinds of counterexamples in the process.
목차
등록된 정보가 없습니다.
참고문헌 (14)
참고문헌 신청
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167 (1) : 37 ~ 52
D. D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26 (7) : 2265 ~ 2272
D. D. Anderson / 1999 / Semigroups and rings whose zero products commute / Comm. Algebra 27 (6) : 2847 ~ 2852
E. P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc. 18 : 470 ~ 473
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167 (1) : 37 ~ 52
D. D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26 (7) : 2265 ~ 2272
D. D. Anderson / 1999 / Semigroups and rings whose zero products commute / Comm. Algebra 27 (6) : 2847 ~ 2852
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!
-
ON SEMI-ARMENDARIZ MATRIX RINGS
대한수학회지
2015 .01
-
On partial-Armendariz rings
대한수학회논문집
2019 .01
-
On a ring property generalizing power-Armendariz and central Armendariz rings
한국수학논문집
2015 .01
-
A proof on power-Armendariz rings
한국수학논문집
2013 .01
-
Rings over which polynomial rings are Armendariz and reversible
한국수학논문집
2012 .01
-
On $\Pi$-Armendariz Rings
대한수학회보
2007 .01
-
On weak Armendariz rings
대한수학회보
2009 .01
-
Rigidness and extended Armendariz property
대한수학회보
2011 .01
-
Quasi-Armendariz property for skew polynomial rings
대한수학회논문집
2011 .01
-
Armendariz property over prime radicals
대한수학회지
2013 .01
-
A generalization of Armendariz and NI properties
대한수학회논문집
2018 .01
-
On coefficients of nilpotent polynomials in skew polynomial rings
한국수학논문집
2013 .01
-
On Jacobson and nil radicals related to polynomial rings
대한수학회지
2016 .01
-
SKEW POLYNOMIAL RINGS OVER SEMIPRIME RINGS
대한수학회지
2010 .01
-
A remark on IFP rings
한국수학논문집
2013 .01
-
Skew Laurent polynomial extensions of Baer and p.p.-rings
대한수학회보
2009 .01
-
On weak Armendariz ideals
대한수학회논문집
2008 .01
-
WEAK α-SKEW ARMENDARIZ RINGS
대한수학회지
2010 .01
-
A concept unifying the Armendariz and NI conditions
대한수학회보
2011 .01
-
On nilpotent power series with nilpotent coefficients
한국수학논문집
2013 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0