Homomorphisms of Finitary Incidence Algebras (original) (raw)

Homomorphisms of Finitary Incidence Algebras

Communications in Algebra, 2012

Abstract

For any field K and poset P, the incidence space I(P) and the finitary incidence algebra FI(P) were introduced in [5]. The K-vector space I(P) is an FI(P)-bimodule. We investigate K-linear maps from FI(P) to I(P) that preserve submodules. We also consider the idealization FI(P)(+)I(P) of I(P).

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