Communications in Algebra · 2014 · 16 citations · 5 references
Natural SciencesMathematicsAlgebraSet TheoryAbstract AlgebraDirected Acyclic GraphsGraph TheoryPartial OrdersPartially Ordered SetsAlgebraic Graph TheoryIncidence AlgebrasIncidence Graphs
Abstract We present necessary and sufficient conditions for a multiplicative automorphism of an incidence algebra of a finite partially ordered set X to be an inner automorphism. These conditions are related to the structure of X as a directed graph. Key Words: AutomorphismsDirected graphsIncidence algebras2010 Mathematics Subject Classification: 16W2005B2005C20 Notes Communicated by I. Shestakov.
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