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ORE EXTENSIONS OF WEAK ZIP RINGS*

Published online by Cambridge University Press:  01 September 2009

LUNQUN OUYANG
LUNQUN OUYANG*
Affiliation:
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410006, P.R. ChinaDepartment of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan 411201, P.R. China e-mail: ouyanglqtxy@163.com
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Abstract

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In this paper we introduce the notion of weak zip rings and investigate their properties. We mainly prove that a ring R is right (left) weak zip if and only if for any n, the n-by-n upper triangular matrix ring Tn(R) is right (left) weak zip. Let α be an endomorphism and δ an α-derivation of a ring R. Then R is a right (left) weak zip ring if and only if the skew polynomial ring R[x; α, δ] is a right (left) weak zip ring when R is (α, δ)-compatible and reversible.

Keywords

Primary 16S36Secondary 16S99

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 3 , September 2009 , pp. 525 - 537
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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