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arXiv · 1512.09339

Frobenius Structural Matrix Algebras

Sorin Dascalescu·Miodrag C. Iovanov·Sorina Predut
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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 $k$.

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Sorin Dascalescu, Miodrag C. Iovanov, Sorina Predut. 2015-12-31. Frobenius Structural Matrix Algebras. https://arxiv.org/abs/1512.09339

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