BibTex RIS Cite

EXTENSIONS OF GENERALIZED α-RIGID RINGS

Year 2008, Volume: 3 Issue: 3, 103 - 116, 01.06.2008

Abstract

For a ring endomorphism α, we introduce weak α-rigid and weak α-skew Armendariz rings which are a generalization of α-rigid rings, and investigated their properties. Moreover, we prove that a ring R is weak α-rigid if and only if for any n, the n by n upper triangular matrix ring Tn(R) is weak α-rigid. If R is semicommutative and weak α-rigid, it is proven that the ring R[x] and the ring (R[x]/(xn)) where (xn) is the ideal generated by xn and n is a positive integer, are weak α-skew Armendariz.

Year 2008, Volume: 3 Issue: 3, 103 - 116, 01.06.2008

Abstract

There are 0 citations in total.

Details

Other ID JA78MA44CT
Journal Section Articles
Authors

Lunqun Ouyang This is me

Publication Date June 1, 2008
Published in Issue Year 2008 Volume: 3 Issue: 3

Cite

APA Ouyang, L. (2008). EXTENSIONS OF GENERALIZED α-RIGID RINGS. International Electronic Journal of Algebra, 3(3), 103-116.
AMA Ouyang L. EXTENSIONS OF GENERALIZED α-RIGID RINGS. IEJA. June 2008;3(3):103-116.
Chicago Ouyang, Lunqun. “EXTENSIONS OF GENERALIZED α-RIGID RINGS”. International Electronic Journal of Algebra 3, no. 3 (June 2008): 103-16.
EndNote Ouyang L (June 1, 2008) EXTENSIONS OF GENERALIZED α-RIGID RINGS. International Electronic Journal of Algebra 3 3 103–116.
IEEE L. Ouyang, “EXTENSIONS OF GENERALIZED α-RIGID RINGS”, IEJA, vol. 3, no. 3, pp. 103–116, 2008.
ISNAD Ouyang, Lunqun. “EXTENSIONS OF GENERALIZED α-RIGID RINGS”. International Electronic Journal of Algebra 3/3 (June 2008), 103-116.
JAMA Ouyang L. EXTENSIONS OF GENERALIZED α-RIGID RINGS. IEJA. 2008;3:103–116.
MLA Ouyang, Lunqun. “EXTENSIONS OF GENERALIZED α-RIGID RINGS”. International Electronic Journal of Algebra, vol. 3, no. 3, 2008, pp. 103-16.
Vancouver Ouyang L. EXTENSIONS OF GENERALIZED α-RIGID RINGS. IEJA. 2008;3(3):103-16.