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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Automorphisms and derivations of incidence algebras


Author: Kenneth Baclawski
Journal: Proc. Amer. Math. Soc. 36 (1972), 351-356
MSC: Primary 06A10
DOI: https://doi.org/10.1090/S0002-9939-1972-0313133-8
MathSciNet review: 0313133
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Abstract: This paper studies the derivations and automorphisms of the incidence algebra of a locally finite partially ordered set. Two subspaces are shown to span the space of derivations: the space of inner derivations and the space of derivations associated with the additive functions. An analogous result is shown for the group of automorphisms. A number of dimension calculations are also made.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0313133-8
Keywords: Ordered set, partially ordered set, incidence algebra, automorphism, derivation, additive function, multiplicative function
Article copyright: © Copyright 1972 American Mathematical Society