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Semigroup gradings of full matrix rings

journal contribution
posted on 2023-05-16, 13:27 authored by Dascalescu, S, Kelarev, AV, van Wyk, L
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.

History

Publication title

Communications in Algebra

Volume

29

Issue

11

Pagination

5023-5031

ISSN

0092-7872

Department/School

School of Natural Sciences

Publisher

Marcel Decker Inc.

Place of publication

New York

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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