On n-principally weakly injective acts over monoids

Qiao Husheng; Ma Xin

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On n-principally weakly injective acts over monoids

Qiao Husheng *,Ma Xin

Department of Mathematics, Northwest Normal University, LanZhou 730070

*Correspondence author

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Funding: SRFDP（No.20096203120001）, NSFC（No.No.10901129）

Opened online:14 December 2012

Accepted by: none

Citation: Qiao Husheng,Ma Xin.On n-principally weakly injective acts over monoids[OL]. [14 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4500634

Let n be a positive integer. In this article a new kind ofinjectivity, namely n-principally weakly injective act is defined, this property is a genaralization of principally weakly injectivity. A monoid S is called n-regular, if for every s∈S, s n is regular. Using this new property the characterizations of category of n-regular monoids are investigated and some known results are extended.

Keywords:basic mathematics; injectivity; regular monoid

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