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Almost MGP-Injective Rings

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Ukrainian Mathematical Journal Aims and scope

A ring R is called right almost MGP-injective (or AMGP-injective) if, for any 0 ≠ a ∈ R, there exists an element b ∈ R such that ab = ba ≠ 0 and any right R-monomorphism from abR to R can be extended to an endomorphism of R. In the paper, several properties of these rings are establshed and some interesting results are obtained. By using the concept of right AMGP-injective rings, we present some new characterizations of QF-rings, semisimple Artinian rings, and simple Artinian rings.

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Authors and Affiliations

  1. Jiaxing University, Jiaxing, China

    Zhu Zhanmin

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  1. Zhu Zhanmin
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 11, pp. 1476–1481, November, 2013.

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Zhanmin, Z. Almost MGP-Injective Rings. Ukr Math J 65, 1634–1641 (2014). https://doi.org/10.1007/s11253-014-0885-z

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  • DOI: https://doi.org/10.1007/s11253-014-0885-z

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