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Semigroup gradings of full matrix rings
Citation
Dascalescu, S and Kelarev, AV and van Wyk, L, Semigroup gradings of full matrix rings, Communications in Algebra, 29, (11) pp. 5023-5031. ISSN 0092-7872 (2001) [Refereed Article]
DOI: doi:10.1081/AGB-100106799
Abstract
Let F be a field, and let A = Mn(F) be the algebra of all n × n matrices over F. For each finite semigroup S, we describe all gradings A = ⊕s∈SAs of A by S such that all standard matrix units eij of A are homogeneous elements of A.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Research Division: | Mathematical Sciences |
| Research Group: | Pure mathematics |
| Research Field: | Algebra and number theory |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Kelarev, AV (Dr Andrei Kelarev) |
| ID Code: | 24024 |
| Year Published: | 2001 |
| Web of Science® Times Cited: | 9 |
| Deposited By: | Mathematics |
| Deposited On: | 2002-08-01 |
| Last Modified: | 2002-09-24 |
| Downloads: | 0 |
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