Geodesic
Frobenius Algebras and Their Quivers
Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 1029-1044

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

This paper studies the construction of Frobenius algebras. We begin with a description of when a graded -algebra has a Frobenius algebra as a homomorphic image. We then turn to the question of actual constructions of Frobenius algebras. We give a, method for constructing Frobenius algebras as factor rings of special tensor algebras. Since the representation theory of special tensor algebras has been studied intensively ([6], see also [2; 3; 4]), our results permit the construction of Frobenius algebras which have representations with prescribed properties. Such constructions were successfully used in [9]. 
Green, Edward L. Frobenius Algebras and Their Quivers. Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 1029-1044. doi: 10.4153/CJM-1978-087-5
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