When Is An Algebra Of Endomorphisms An Incidence Algebra
M. Viji, R. S. Chakravarti · Global Journal of Human Social Science · 2010
Spiegel and O'Donnell give a characterization of algebras of n×n matrices which are isomorphic to incidence algebras of partially ordered sets with n elements. We generalize this result to get a characterization of algebras of endomorphisms of a vector space which are isomorphic to incidence algebras of lower finite partially ordered sets.