Almost MGP-Injective Rings

• Published in: Український математичний журнал
• Date: 2013
• Main Author: Zhu Zhanmin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165762
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Almost MGP-Injective Rings / Zhu Zhanmin // Український математичний журнал. — 2013. — Т. 65, № 11. — С. 1476–1481. — Бібліогр.: 15 назв. — англ.

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 int...