Finitary incidence algebras

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We consider the functions in two variables on an arbitrary poset, for which the convolution operation is defined. We obtain the generalization of incidence algebra and describe its properties: invertibility, the Jackobson radical, idempotents, regular elements. As a consequence a positive solution of the isomorphism problem for such algebras is obtained.
8 pages, Latex

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Rings and Algebras, Combinatorics, 16S99; 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/156034

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0069
 http://arxiv.org/abs/0803.0069

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arXiv