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G-Morphic Rings and G-regular Rings

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Abstract

A ring R is called left G-morphic if l(a) is a principal left ideal for each a ∈ R. A ring R is called left G-regular if R is left G-morphic and left P-injective. Several properties of the two classes of rings are investigated, conditions under which left G-regular rings are regular rings as well as semisimple artinian rings are given, respectively.

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Acknowledgments

The author is very grateful to the referee for the useful comments.

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Authors and Affiliations

  1. Department of Mathematics, Jiaxing University, Jiaxing, 31400, Zhejiang, People’s Republic of China

    Zhanmin Zhu

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  1. Zhanmin Zhu
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Correspondence to Zhanmin Zhu.

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Zhu, Z. G-Morphic Rings and G-regular Rings. Vietnam J. Math. 44, 329–338 (2016). https://doi.org/10.1007/s10013-015-0137-z

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  • DOI: https://doi.org/10.1007/s10013-015-0137-z

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