Results 111 to 120 of about 532 (202)

Totally Ordered Commutative Monoids

open access: yes, 1999
A totally ordered monoid---or tomonoid , for short---is a commutative semigroup with identity S equipped with a total order S that is translation invariant, i.e., that satisfies: 8x; y; z 2 S x S y ) x + z S y + z: We call a tomonoid that is a ...
Michael Konikoff   +4 more
core  

Ordered groupoids and the holomorph of an inverse semigroup

open access: yes, 2015
We present a construction for the holomorph of an inverse semigroup, derived from the cartesian closed structure of the category of ordered groupoids.
N. D. Gilbert   +3 more
core   +1 more source

On a Class of Lattice Ordered Inverse Semigroups

open access: yes, 2000
It is well known that the free group on a non-empty set can be totally ordered and, further, that each compatible latttice ordering on a free group is a total ordering.
Giraldes, Emilia   +2 more
core   +1 more source

Ordered Monoids: Languages and Relations

open access: yes, 2017
We give a finite axiomatization for the variety generated by relational, integral ordered monoids. As a corollary we get a finite axiomatization for the language interpretation as well.
openaire   +2 more sources

On Gröbner Bases in Monoid and Group Rings

open access: yes, 1993
Following Buchberger’s approach to computing a Gröbner basis of a polynomial ideal in polynomial rings, a completion procedure for finitely generated right ideals in Z[H] is given, where H is an ordered monoid presented by a finite, convergent semi-Thue ...
Madlener, Klaus, Reinert, Birgit
core   +1 more source

Autometrized Lattice Ordered Monoids

open access: yes
In this paper, we introduce the notion of Autometrized lattice ordered monoids (for short,AL-monoids) as a generalization to DRl-semi groups. We obtain the basic properties of AL-monoids. Also, we prove that Autometrized lattice ordered monoids are equationally definable. Furthermore, we show that AL-monoids are an optimal common abstraction of Boolean
Ashale, Tekalign Regasa   +2 more
openaire   +2 more sources

Topology and monoid representations I: Foundations

open access: yes
This paper aims to use topological methods to compute $\mathrm{Ext}$ between an irreducible representation of a finite monoid inflated from its group completion and one inflated from its group of units, or more generally coinduced from a maximal subgroup,
Steinberg, Benjamin
core  

On Gröbner Bases in Monoid and Group Rings [PDF]

open access: yes, 1999
Following Buchberger's approach to computing a Gröbner basis of a poly-nomial ideal in polynomial rings, a completion procedure for finitely generatedright ideals in Z[H] is given, where H is an ordered monoid presented by a finite,convergent semi - Thue
Madlener, Klaus, Reinert, Birgit
core  

On a complete lattice of retracts of a free monoid generated by three elements

open access: yes
Tyt. z nagł.References p. 127.Dostępny również w formie drukowanej.ABSTRACT: We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice. KEYWORDS: free monoid,
Foryś, Wit Jan
core  

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