Some results on quasi-Frobenius rings

[摘要] We give some new characterizations of quasi-Frobenius rings by the generalized injectivity of rings. Some characterizations give affirmative answers to some open questions about quasi-Frobenius rings; and some characterizations improve some results on quasi-Frobenius rings.

[学科分类] 物理化学和理论化学

[关键词] mininjective ring;YJ-injective ring;$2$-injective ring;JGP-injective ring;quasi-Frobenius ringDOI: DOI 10.14712/1213-7243.2015.202AMS Subject Classification: 16D50 16L30 16L60 16P60 16P70 PDF