In this paper, we investigate 2-SG-semisimple rings which are a particular kind of quasi-Frobenius rings over which all modules are periodic of period~2. Namely, we show that local 2-SG-semisimple rings are the same as the known Artinian valuation rings. Also, a relation between Dedekind domains and 2-SG-semisimple rings is established.
"On 2-SG-semisimple rings." Rocky Mountain J. Math. 45 (4) 1093 - 1100, 2015. https://doi.org/10.1216/RMJ-2015-45-4-1093