Automorphisms of Incidence Algebras |
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| Authors: | Yuriy Drozd Petro Kolesnik |
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| Institution: | 1. Department of Mechanics and Mathematics , Kyiv Taras Shevchenko University , Kyiv, Ukraine yuriy@drozd.org;3. Department of Mechanics and Mathematics , Kyiv Taras Shevchenko University , Kyiv, Ukraine |
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| Abstract: | We study automorphisms of the incidence algebra of a finite quasiordered set M. In particular, we describe explicitly the group of outer automorphisms and give a criterion for any automorphism of this algebra to be a product of an inner one and an automorphism of M, which corrects some results of Spiegel (2001
Spiegel , E. ( 2001 ). On the automorphisms of incidence algebras . J. Algebra 239 : 615 – 623 .Crossref], Web of Science ®] , Google Scholar]). |
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| Keywords: | Automorphism Cohomology Incidence algebra Partially orderd set Simplicial complex |
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