Automorphisms and derivations of incidence algebras
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- by Kenneth Baclawski PDF
- Proc. Amer. Math. Soc. 36 (1972), 351-356 Request permission
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.References
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- Richard P. Stanley, Structure of incidence algebras and their automorphism groups, Bull. Amer. Math. Soc. 76 (1970), 1236–1239. MR 263718, DOI 10.1090/S0002-9904-1970-12617-9
Additional Information
- © Copyright 1972 American Mathematical Society
- 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