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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
Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:24024
Year Published:2001
Web of Science® Times Cited:5
Deposited By:Mathematics
Deposited On:2002-08-01
Last Modified:2002-09-24
Downloads:0

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