Finitary incidence algebras.
Date
2014-06-11
Authors
Wagner, Bradley M.
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Abstract
Let P be an arbitrary partially ordered set and I(P) its incidence space. Then F(P) is the finitary incidence algebra and I(P) is a bimodule over it. Consequently we can form D(P) = FI(P) ⊕ I(P) the idealization of I(P). In this paper we will study the automorphisms of FI(P) and D(P). We will also explore sufficient conditions for FI(P) to be zero product determined.