eCite Digital Repository

Semigroup gradings of full matrix rings


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


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

Repository Staff Only: item control page