Results 1 to 10 of about 235 (167)
On ideals of lattice ordered monoids [PDF]
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 ...
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The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings
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
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On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal
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
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COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS [PDF]
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
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MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING
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
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Monoids of IG-type and maximal orders
21 pages, 0 ...
Jespers, Eric, Goffa, Isabel
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On pomonoid of partial transformations of a poset
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
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Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid
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]
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
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
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