Results 11 to 20 of about 384 (65)

On the coset category of a skew lattice [PDF]

open access: yes, 2014
Skew lattices are non-commutative generalizations of lattices. The coset structure decomposition is an original approach to the study of these algebras describing the relation between its rectangular classes.
Costa, Joao Pita
core   +2 more sources

Admissible congruences on type B semigroups

open access: yesOpen Mathematics, 2022
The main aim of this article is to study admissible congruences on a type B semigroup. First, we give characterizations of the minimum admissible congruence whose trace is a normal congruence on a type B semigroup.
Li Chunhua   +3 more
doaj   +1 more source

Algebraic properties of external numbers

open access: yesJournal of Logic and Analysis, 2011
Neutrices and external numbers were proposed as models of orders of magnitude within nonstandard analysis. We show that the external numbers form a commutative regular semigroup for addition and that the external numbers which are not neutrices form a ...
Bruno Miguel Antunes Dinis, I. Berg
semanticscholar   +1 more source

Lattice modules having small cofinite irreducibles

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 161-166, 2001., 2001
We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.
E. W. Johnson   +2 more
wiley   +1 more source

Bi-Interior Ideals of Semigroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior ideals of semigroup, simple semigroup ...
Rao M. Murali Krishna
doaj   +1 more source

A characterization of translational hulls of a strongly right type B semigroup

open access: yesOpen Mathematics, 2019
The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of a strongly right type B semigroup is itself a strongly right type B semigroup. As an application, we
Li Chunhua, Xu Baogen
doaj   +1 more source

Some results on ordered filters of implicative semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 12, Page 731-735, 2001., 2001
We introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets.
Young Bae Jun
wiley   +1 more source

Identities in the Algebra of Partial Maps [PDF]

open access: yes, 2006
We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Jackson, Marcel, Stokes, Tim E.
core   +2 more sources

On ideals of implicative semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 2, Page 77-82, 2001., 2001
We introduce the notion of ideals in implicative semigroups, and then state the characterizations of the ideals.
Young Bae Jun, Kyung Ho Kim
wiley   +1 more source

On homological classification of pomonoids by GP-po-flatness of S-posets

open access: yesOpen Mathematics, 2016
In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness.
Liang Xingliang   +2 more
doaj   +1 more source

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