Finitary incidence algebras
Rings and Algebras
2008-03-04 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.0803.0069,
title = {Finitary incidence algebras},
author = {N. S. Khripchenko and B. V. Novikov},
journal= {arXiv preprint arXiv:0803.0069},
year = {2008}
}
Comments
8 pages, Latex