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On the radicals of linear algebraic monoids

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In this paper we consider the Schwarz radical of linear algebraic semigroups as defined in semigroup theory. We give some new characterizations of the complete regularity, regularity and solvability of… Click to show full abstract

In this paper we consider the Schwarz radical of linear algebraic semigroups as defined in semigroup theory. We give some new characterizations of the complete regularity, regularity and solvability of irreducible linear algebraic monoids in terms of Schwarz radical data. Moreover, we give a generalization about the results of the kernel to the results of completely regular $$\mathscr {J}$$J-classes.

Keywords: linear algebraic; radicals linear; algebraic monoids

Journal Title: Semigroup Forum
Year Published: 2018

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