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Frobenius Structural Matrix Algebras

Research paper by Sorin Dascalescu, Miodrag C. Iovanov, Sorina Predut

Indexed on: 31 Dec '15Published on: 31 Dec '15Published in: Mathematics - Representation Theory



Abstract

We discuss when the incidence coalgebra of a locally finite preordered set is right co-Frobenius. As a consequence, we obtain that a structural matrix algebra over a field $k$ is Frobenius if and only if it consists, up to a permutation of rows and columns, of diagonal blocks which are full matrix algebras over $k$.