2017
Том 69
№ 6

All Issues

Almost MGP-Injective Rings

Zhanmin Zhu

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Abstract

A ring R is called right almost MGP-injective (or AMGP-injective) if, for any 0 ≠ aR, there exists an element bR 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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 11, pp 1634-1641.

Citation Example: Zhanmin Zhu Almost MGP-Injective Rings // Ukr. Mat. Zh. - 2013. - 65, № 11. - pp. 1476–1481.

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