A note on Green's relations on the semigroup

Authors:
D. J. Hartfiel, C. J. Maxson and R. J. Plemmons

Journal:
Proc. Amer. Math. Soc. **60** (1976), 11-15

MSC:
Primary 20M10

MathSciNet review:
0419655

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Abstract: Solvability criteria for nonnegative matrix equations are applied in characterizing the first three of the four Green's relations and on the semigroup of all nonnegative matrices. For the relation , it is shown that when the relation is restricted to the regular matrices in although on the entire semigroup .

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1976-0419655-7

Keywords:
Green's relations,
matrix equations,
nonnegative matrices,
regularity

Article copyright:
© Copyright 1976
American Mathematical Society