I. N. Balaba, A. V. Mikhalev, “Graded quasi-Frobenius rings and modules”, Intelligent systems. Theory and applications, 2021, Volume 25, Issue 4,Pages <nobr>66

Part 2. Mathematics and Computer Science

Graded quasi-Frobenius rings and modules

I. N. Balaba^a, A. V. Mikhalev^b

^a Tula State Lev Tolstoy Pedagogical University
^b Lomonosov Moscow State University

Abstract: The present paper is concerned with graded quasi-Frobenius rings and modules. The connection between different definitions is established, a series of equivalent characteristics are obtained.

Keywords: graded rings and modules, quasi-Frobenius rings, quasi-Frobenius modules, Frobenius algebra.