Semigroup gradings of full matrix rings

Citation
S. Dascalescu et al., Semigroup gradings of full matrix rings, COMM ALGEB, 29(11), 2001, pp. 5023-5031
Citations number
10
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
11
Year of publication
2001
Pages
5023 - 5031
Database
ISI
SICI code
0092-7872(2001)29:11<5023:SGOFMR>2.0.ZU;2-X
Abstract
Let F be a field, and let A = M-n (F) be the algebra of all n x n matrices over F. For each finite semigroup S, we describe all gradings A = circle pl us (s)is an element of (S)A(s) of A by S such that all standard matrix unit s e(ij) of A are homogeneous elements of A.