On the radicals of linear algebraic monoids

Abstract

In this paper we consider the Schwar z 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 Schwar z radical data. Moreover, we give a generalization about the results of the kernel to the results of completely regular J -classes.