Classification of involutions on finitary incidence algebras
Authors:
- 1 December 2014
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Algebra and Computation
- Vol. 24 (08) , 1085-1098
Abstract
Let X be a connected partially ordered set and let K be a field of characteristic different from 2. We present necessary and sufficient conditions for two involutions on the finitary incidence algebra of X over K, FI (X), to be equivalent in the case when every multiplicative automorphism of FI (X) is inner. To get the classification of involutions we extend the concept of multiplicative automorphism to finitary incidence algebras and prove the Decomposition Theorem of involutions of [Anti-automorphisms and involutions on (finitary) incidence algebras, Linear Multilinear Algebra 60 (2012) 181–188] for finitary incidence algebras.Keywords
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