AbstractIn this paper, we introduce a new concept, namely, the (J,σ)-irreducible monoid. LetG0be a simple algebraic group. Let σ be a surjective endomorphism ofG0such that (G0)σ, the fixed points ofG0under σ, is finite. We construct a (J,σ)-irreducible monoidMwithGthe unit group. Extending σ toM, we obtain a finite monoidMσwhich is J-irreducible. IfMis J-irreducible, we give a precise recipe to determine the lattices of J-classes ofMandMσ
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
We study the variety W generated by monoids of upper-triangular boolean matrices. First, we present ...
AbstractA reductive monoid is an algebraic monoid with a reductive unit group. Generally, we have th...
AbstractIn this paper, we introduce a new concept, namely, the (J,σ)-irreducible monoid. LetG0be a s...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
AbstractLet S be a connected algebraic monoid and let U(S) denote the finite lattice of all regular ...
ABSTRACT. The purpose of this article is to investigate the combina-torial properties of the cross s...
For a complete lattice L, in which every element is a join of completely join-irreducibles and a mee...
AbstractLet G be a simple algebraic group. Associated with the finite-dimensional rational represent...
AbstractThe groups Gk,1 of Richard Thompson and Graham Higman can be generalized in a natural way to...
0. Introduction. In this paper we determine the blocks of certain solvable al-gebraic monoids. A blo...
AbstractWe give a characterization of irreducible ideals of finitely generated commutative monoids a...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
Abstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
We study the variety W generated by monoids of upper-triangular boolean matrices. First, we present ...
AbstractA reductive monoid is an algebraic monoid with a reductive unit group. Generally, we have th...
AbstractIn this paper, we introduce a new concept, namely, the (J,σ)-irreducible monoid. LetG0be a s...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
AbstractLet S be a connected algebraic monoid and let U(S) denote the finite lattice of all regular ...
ABSTRACT. The purpose of this article is to investigate the combina-torial properties of the cross s...
For a complete lattice L, in which every element is a join of completely join-irreducibles and a mee...
AbstractLet G be a simple algebraic group. Associated with the finite-dimensional rational represent...
AbstractThe groups Gk,1 of Richard Thompson and Graham Higman can be generalized in a natural way to...
0. Introduction. In this paper we determine the blocks of certain solvable al-gebraic monoids. A blo...
AbstractWe give a characterization of irreducible ideals of finitely generated commutative monoids a...
We study the ideals of the partition, Brauer, and Jones monoid, establishing various combinatorial r...
Abstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
We study the variety W generated by monoids of upper-triangular boolean matrices. First, we present ...
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