On the radicals of linear algebraic monoidsReport as inadecuate




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Semigroup Forum

pp 1–20

First Online: 12 December 2016Received: 01 September 2016Accepted: 18 November 2016

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}\-classes.

KeywordsIrreducible algebraic monoid Kernel Nilpotent Radical Regular Solvable Communicated by Jan Okniński.

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Author: Jun Li

Source: https://link.springer.com/







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