ELA
MULTIPLICATIVE DIAGONALS OF MATRIX SEMIGROUPS
∗L. LIVSHITS†, G. MACDONALD‡,AND H. RADJAVI§
Abstract. We consider semigroups of matrices where either the diagonal map or the diagonal product map is multiplicative, and deduce structural properties of such semigroups.
Key words. Semigroup, Matrix, Diagonal.
AMS subject classifications. 15A30, 15A21.
∗Received by the editors on July 17, 2010. Accepted for publication on February 27, 2011.
Handling Editor: Bryan Shader.
†Department of Mathematics, Colby College, Waterville, Maine 04901, USA ([email protected]).
Research supported by Colby College Natural Sciences Division Grant.
‡Department of Math and Stats, University of Prince Edward Island, Charlottetown, PEI, C1A
4P3, Canada ([email protected]). Research supported by NSERC (Canada) research grant.
§Department of Pure Mathematics, University of Waterloo, ON Canada, N2L 3G1
([email protected]). Research supported by NSERC (Canada) research grant.
Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 22, pp. 252-266, March 2011
