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O-species and tensor algebras

Gubareni N.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 2

23--30

In this paper we consider O-species and their representations. These O-species are a type of a generalization of a species introduced by Gabriel. We also consider the tensor algebras of such O-species. It is proved that the category of all representations of an O-species and the category of all right modules over the corresponding tensor algebra are naturally equivalent.