Results 1 to 10 of about 369 (191)
Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid [PDF]
پژوهشهای 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
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Hopf monoids of ordered simplicial complexes [PDF]
International Mathematics Research Notices, 2020 Abstract We study Hopf classes: families of pure ordered simplicial complexes that give rise to Hopf monoids under join and deletion/contraction. The prototypical Hopf class is the family of ordered matroids. The idea of a Hopf class leads to a systematic study of simplicial complexes related to matroids, including shifted complexes and ...
Federico Castillo +2 more
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S-acts over a Well-ordered Monoid with Modular Congruence Lattice
Известия Иркутского государственного университета: Серия "Математика", 2021 This work relates to the structural act theory. The structural theory includes the description of acts over certain classes of monoids or having certain properties, for example, satisfying some requirement for the congruence lattice.
A.A. Stepanova
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On ideals of lattice ordered monoids [PDF]
Mathematica 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 ...
Milan Jasem
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Injective positively ordered monoids I
Journal of Pure and Applied Algebra, 1992 We continue in this paper the study of positively ordered monoids (POMs) initiated in "Injective positively ordered monoids I". We prove that injective POMs are the retracts of the powers of $[0,\infty ]$. We also characterize the natural POM-homomorphism from a given refinement POM to its bidual, with, for example, applications to decomposition spaces.
Friedrich Wehrung
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Spreadability for Quantum Stochastic Processes, with an Application to Boolean Commutation Relations [PDF]
Entropy, 2020 In order to manage spreadability for quantum stochastic processes, we study in detail the structure of the involved monoids acting on the index-set of all integers Z , that is that generated by left and right hand-side partial shifts, the monoid of ...
Vitonofrio Crismale +2 more
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Discussiones Mathematicae - General Algebra and Applications, 2003 The author investigates lattice-ordered monoids and specially normal lattice-ordered monoids which are a generalization of dually residuated lattice-ordered semigroups. He proves that in any lattice-ordered monoid \(A\), \(a \in A\) and \(na \geq 0\) for some positive integer \(n\) imply \(a \geq 0\). He finds a necessary and sufficient condition for a
Milan Jasem
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Autometrized Lattice Ordered Monoids [PDF]
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
Tekalign Regasa Ashale +2 more
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Ordered prime spectra of bounded $DRl$-monoids [PDF]
Mathematica Bohemica, 2000 Summary: Ordered prime spectra of Boolean products of bounded \(DRl\)-monoids are described by means of their decompositions to the prime spectra of the components.
Jiří Rachůnek
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Ordered Monoids: Languages and Relations [PDF]
, 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.
Szabolcs Mikulás
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