A Note on Linear Preservers of a Certain Matrix Partial Order

Alexander Guterman ()
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Alexander Guterman: Moscow State University, Department of Higher Algebra, Faculty of Mathematics and Mechanics

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 441-446 from Springer

Abstract: Abstract Let S be a semigroup. There is a fundamental relation that can be defined on the set of idempotents of S, if any. It is a well-known standard partial order, see [3, vol. 1, p. 23]: 1.1 $$e \leq f\;if\;and\;only\;if\;e = ef = fe.$$

Date: 2000
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DOI: 10.1007/978-3-662-04166-6_40

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