Results 1 to 10 of about 235 (167)

On ideals of lattice ordered monoids [PDF]

open access: yesMathematica Bohemica, 2007
Summary: In the paper the notion of an ideal of a lattice-ordered monoid \(A\) is introduced and relations between ideals of \(A\) and congruence relations on \(A\) are investigated. Further, it is shown that the set of all ideals of a soft lattice-ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian ...
openaire   +2 more sources

The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings

open access: yesAl-Jabar, 2020
Let  be a ring,  a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]].
Wesly Agustinus Pardede   +2 more
doaj   +1 more source

On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal

open access: yesDiscrete Dynamics in Nature and Society, 2019
In this paper, we study a class of naturally ordered abundant semigroups with an adequate monoid transversal, namely, naturally ordered concordant semigroups with an adequate monoid transversal.
Wei Chen
doaj   +1 more source

COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS [PDF]

open access: yesJournal of Algebraic Systems, 2015
In this paper we study the notions of cogenerator and subdirectlyirreducible in the category of S-poset. First we give somenecessary and sufficient conditions for a cogenerator $S$-posets.Then we see that under some conditions, regular injectivityimplies
Gholamreza Moghaddasi
doaj   +1 more source

MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING

open access: yesBarekeng, 2021
Let R be a ring with unit elements,  strictly ordered monoids, and  a monoid homomorphism. Formed , which is a set of all functions from S to R with  are Artin and narrow.
Siti Rugayah   +2 more
doaj   +1 more source

Monoids of IG-type and maximal orders

open access: yesJournal of Algebra, 2007
21 pages, 0 ...
Jespers, Eric, Goffa, Isabel
openaire   +4 more sources

On pomonoid of partial transformations of a poset

open access: yesOpen Mathematics, 2023
The main objective of this article is to study the ordered partial transformations PO(X){\mathcal{PO}}\left(X) of a poset XX. The findings show that the set of all partial transformations of a poset with a pointwise order is not necessarily a pomonoid ...
Al Subaiei Bana
doaj   +1 more source

Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid

open access: yesپژوهش‌های ریاضی, 2021
The fundamental role of algebraic properties in the development of the basics of computer science has led researchers to study the concepts of fuzzy automaton separatedness, connectedness, and reversibility on a large scale.In this paper, the general ...
khadijeh abolpour
doaj  

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

open access: yesOpuscula Mathematica, 2008
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.
Wit Foryś
doaj  

PS-Modules over Ore Extensions and Skew Generalized Power Series Rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2015
A right R-module MR is called a PS-module if its socle, SocMR, is projective. We investigate PS-modules over Ore extension and skew generalized power series extension.
Refaat M. Salem   +2 more
doaj   +1 more source

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