Gradings on Incidence Algebras and their Graded Polynomial Identities
| Autor: | Humberto Luiz Talpo, Waldeck Schützer |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Polynomial (hyperelastic model)
Group (mathematics) General Mathematics 16R50 Zero (complex analysis) Field (mathematics) Mathematics - Rings and Algebras Combinatorics Incidence algebra Rings and Algebras (math.RA) Bounded function FOS: Mathematics Partially ordered set Mathematics Incidence (geometry) |
| DOI: | 10.48550/arxiv.2004.05230 |
| Popis: | Let P a locally finite partially ordered set, F a field, G a group, and I(P,F) the incidence algebra of P over F. We describe all the inequivalent elementary G-gradings on this algebra. If P is bounded, F is a infinite field of characteristic zero, and A, B are both elementary G-graded incidence algebras satisfying the same G-graded polynomial identities, and the automorphisms group of P acts transitively on the maximal chains of P , we show that A and B are graded isomorphic. Comment: 10 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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