Universally reflexive algebras

Finite dimensional algebras whose representations are all reflexive are characterized as those over which the homomorphisms between any pair of indecomposable projective modules form a vector space of dimension at most one. This includes incidence algebras over finite preordered sets.

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Bibliographic Details
Published in	Linear algebra and its applications Vol. 157; pp. 195 - 201
Main Authors	Fuller, K.R., Nicholson, W.K., Watters, J.F.
Format	Journal Article
Language	English
Published	Elsevier Inc 01.11.1991
Online Access	Get full text

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Summary:	Finite dimensional algebras whose representations are all reflexive are characterized as those over which the homomorphisms between any pair of indecomposable projective modules form a vector space of dimension at most one. This includes incidence algebras over finite preordered sets.
ISSN:	0024-3795 1873-1856
DOI:	10.1016/0024-3795(91)90114-C