Homomorphisms of Finitary Incidence Algebras |
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| Authors: | Manfred Dugas |
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| Affiliation: | 1. Department of Mathematics , Baylor University , Waco , Texas , USA Manfred_Dugas@baylor.edu |
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| Abstract: | For any field K and poset P, the incidence space I(P) and the finitary incidence algebra FI(P) were introduced in [5 Khripchenko , N. , Novikov , B. ( 2009 ). Finitary incidence algebras . Communications in Algebra 37 : 1670 – 1676 . [Google Scholar]]. 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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| Keywords: | Incidence algebras Zassenhaus algebras |
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