Geodesic
Some Semigroups Having Quasi-Frobenius Algebras. II
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 615-624

Voir la notice de l'article provenant de la source Cambridge University Press

The investigation of finite semigroups S with quasi-Frobenius (q.-F.) algebras F(S) over a field F was begun in (7; 8). The problem for commutative semigroups was reduced (7, Theorem 3) to the study of semigroups of the form S = G ∪ S1, where G is a group and S1 is either the null set or is a nilpotent ideal in S (i.e., S1n = {0} for some positive integer n). Such semigroups were called “of type C”. The question is “When does a semigroup of type C have a q.-F. algebra over a field?” (7, Theorem 4) shows that no distinction need be made between the properties q.-F. and Frobenius for commutative algebras. 
Wenger, R. Some Semigroups Having Quasi-Frobenius Algebras. II. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 615-624. doi: 10.4153/CJM-1969-070-9
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