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A characterization of reduced incidence algebras

✍ Scribed by Andreas Kriegl

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
328 KB
Volume
34
Category
Article
ISSN
0012-365X

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✦ Synopsis

This paper aims to give a criterium, in terms of the partial ordering on the po-set only, which decides whether or not an equivalence relation on the segments of the po-set is compatible (defined by Doubilet, Rota & Stanley [2] in terms of the convolution and the functions of the incidence algebra).

πŸ“œ SIMILAR VOLUMES

On the Automorphisms of Incidence Algebr
On the Automorphisms of Incidence Algebras
✍ Eugene Spiegel πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 87 KB

Given a locally finite partially ordered set, X, a ring with identity, R, and an automorphism, , of the incidence algebra of X over R, it is determined when is the composite of an inner automorphism, an automorphism of X, and an induced automorphism of R.