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Zhu, Zhanmin

Some results on quasi-Frobenius rings. (English) Zbl 1449.16037

Commentat. Math. Univ. Carol. 58, No. 2, 147-151 (2017).
Summary: 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.

MSC:

16L60 Quasi-Frobenius rings
16D50 Injective modules, self-injective associative rings
16L30 Noncommutative local and semilocal rings, perfect rings
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras)

Keywords:

min-injective ring; YJ-injective ring; 2-injective ring; JGP-injective ring; quasi-Frobenius ring
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\textit{Z. Zhu}, Commentat. Math. Univ. Carol. 58, No. 2, 147--151 (2017; Zbl 1449.16037)
Full Text: DOI

References:

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