相对于幺半群的α-斜Armendariz环

doi:10.6040/j.issn.1671-9352.0.2015.213

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (2): 1-5.doi: 10.6040/j.issn.1671-9352.0.2015.213

α-skew Armendariz rings relative to a monoid

GENG Dao-hong¹, WANG Yao¹, REN Yan-li^2*

1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China;
2. School of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu, China

Received:2015-05-02 Online:2016-02-16 Published:2016-03-11

Abstract

Abstract: The concept of α-skew M-Armendariz rings is introduced. The relationship between α-skew M-Armendariz rings and related rings is investigated, and it is proved that the skew monoid ring extension of a Baer ring(right p.p.-ring, right zip ring)is a Baer ring(right p.p.-ring, right zip ring)in case the ring is an α-skew M-Armendariz.

Key words: skew monoid ring, Baer ring, α-skew M-Armendariz ring, zip ring, p.p.-ring

CLC Number:

O153.3

GENG Dao-hong, WANG Yao, REN Yan-li. α-skew Armendariz rings relative to a monoid[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 1-5.

References

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