AbstractBy previous results of Putcha and the author, an irreducible algebraic monoid M is regular if and only if the Zariski closure R(G) ⊆ M is completely regular, where R(G) is the solvable radical of G. Thus, the classification problem leads initially to extreme cases; reductive monoids and completely regular monoids with solvable unit groups.In this paper we classify normal, completely regular (NCR) monoids with solvable unit group. It turns out that each NCR monoid M is determined by its unit group G = TU and the closure Z of T in M. For the converse, we find the exact conditions on a diagram T̄=Z↩T↪G for which there exists an NCR monoid M with Z=T̄⊂M
Let M be a reductive linear algebraic monoid with unit group G and let the derived group of G be sim...
Abstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements...
AbstractThe first part of this paper investigates a class of homogeneously presented monoids. Constr...
AbstractBy previous results of Putcha and the author, an irreducible algebraic monoid M is regular i...
The purpose of this paper is to provide a proper identification of normal irreducible, regular algeb...
This paper provides a proper identification of normal irreducible, regular algebraic monoids. The r...
The thesis is on the Putcha-Renner theory of algebraic monoids over (an algebraically closed field) ...
summary:We develop elementary methods of computing the monoid $\boldsymbol{\mathcal{V}}(\boldsymbol{...
That the monoid of all transformations of any set and the monoid of all endomorphisms of any vector ...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
AbstractThe paper studies the following question: Given a ring R, when does the zero-divisor graph Γ...
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Le...
Definition: Let k be an algebraically closed field. An algebraic monoid is a triple (E,m,l) such tha...
AbstractLet S be a connected algebraic monoid and let U(S) denote the finite lattice of all regular ...
0. Introduction. In this paper we determine the blocks of certain solvable al-gebraic monoids. A blo...
Let M be a reductive linear algebraic monoid with unit group G and let the derived group of G be sim...
Abstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements...
AbstractThe first part of this paper investigates a class of homogeneously presented monoids. Constr...
AbstractBy previous results of Putcha and the author, an irreducible algebraic monoid M is regular i...
The purpose of this paper is to provide a proper identification of normal irreducible, regular algeb...
This paper provides a proper identification of normal irreducible, regular algebraic monoids. The r...
The thesis is on the Putcha-Renner theory of algebraic monoids over (an algebraically closed field) ...
summary:We develop elementary methods of computing the monoid $\boldsymbol{\mathcal{V}}(\boldsymbol{...
That the monoid of all transformations of any set and the monoid of all endomorphisms of any vector ...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
AbstractThe paper studies the following question: Given a ring R, when does the zero-divisor graph Γ...
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Le...
Definition: Let k be an algebraically closed field. An algebraic monoid is a triple (E,m,l) such tha...
AbstractLet S be a connected algebraic monoid and let U(S) denote the finite lattice of all regular ...
0. Introduction. In this paper we determine the blocks of certain solvable al-gebraic monoids. A blo...
Let M be a reductive linear algebraic monoid with unit group G and let the derived group of G be sim...
Abstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements...
AbstractThe first part of this paper investigates a class of homogeneously presented monoids. Constr...