New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture
نویسندگان
چکیده
منابع مشابه
New Characterizations of Pseudo-frobenius Rings and a Generalization of the Fgf Conjecture
We provide new characterizations of pseudo-Frobenius and quasiFrobenius rings in terms of tight modules. In the process, we also provide fresh perspectives on FGF and CF conjectures. In particular, we propose new natural extensions of these conjectures which connect them with the classical theory of PF rings. Our techniques are mainly based on set-theoretic counting arguments initiated by Osofs...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2016
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-016-1351-4