Frobenius Structural Matrix Algebras

Autor: Dascalescu, Sorin, Iovanov, Miodrag C., Predut, Sorina
Rok vydání: 2015
Předmět:
Zdroj: Linear Algebra Appl., Vol. 439 (2013), no. 10, 3166--3172
Druh dokumentu: Working Paper
Popis: 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 $k$.
Databáze: arXiv