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Combinatorial classification of piecewise hereditary algebras
(De Gruyter, 2011-01)
We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also ...
Álgebras seriais truncadas, álgebras de incidência de posets e equivalências derivadas
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-03-26)
In this work we show that any truncated serial algebra is derived equivalent to an incidence algebra on a poset. We have used this result to generalize the result of Happel and Seidel about the classification of piecewise ...