Results 41 to 50 of about 4,881 (233)
Factoring Continuous Characters Defined on Subgroups of Products of Topological Groups
Axioms, 2021 This study is on the factorization properties of continuous homomorphisms defined on subgroups (or submonoids) of products of (para)topological groups (or monoids).
Mikhail G. Tkachenko
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A Categorical Approach to Syntactic Monoids [PDF]
Logical Methods in Computer Science, 2018 The syntactic monoid of a language is generalized to the level of a symmetric monoidal closed category $\mathcal D$. This allows for a uniform treatment of several notions of syntactic algebras known in the literature, including the syntactic monoids of ...
Jiří Adamek +2 more
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Garside monoids vs divisibility monoids [PDF]
Mathematical Structures in Computer Science, 2005 Divisibility monoids (resp. Garside monoids) are a natural algebraic generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids), namely monoids in which the distributivity of the underlying lattices (resp. the existence of common multiples) is kept as an hypothesis, but the relations between the generators are not supposed to ...
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SOLVING DIFFERENCE EQUATIONS IN SEQUENCES: UNIVERSALITY AND UNDECIDABILITY
Forum of Mathematics, Sigma, 2020 We study solutions of difference equations in the rings of sequences and, more generally, solutions of equations with a monoid action in the ring of sequences indexed by the monoid. This framework includes, for example, difference equations on grids (for
GLEB POGUDIN +2 more
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Cohomology monoids of monoids with coefficients in semimodules II [PDF]
Semigroup Forum, 2014 We relate the old and new cohomology monoids of an arbitrary monoid $M$ with coefficients in semimodules over $M$, introduced in the author's previous papers, to monoid and group extensions. More precisely, the old and new second cohomology monoids describe Schreier extensions of semimodules by monoids, and the new third cohomology monoid is related to
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Division in the Plactic Monoid [PDF]
, 2022 In [1], a novel cryptographic key exchange technique was proposed using the plactic monoid, based on the apparent difficulty of solving division problems in that monoid.
Chris Monico
core
On topologies on the underlying set of a topological monoid induced by its unitary extensions
Topological Algebra and its Applications, 2022 Extensions of a given topological monoid where all its unitary Cauchy filters converge, can induce di˙erent topologies on its underlying set. We study properties of these topologies and prove a condition under which the initial topology of this monoid is
Averbukh Boris G.
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On unitary extensions and unitary completions of topological monoids
Topological Algebra and its Applications, 2016 The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
Averbukh Boris G.
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Aggregation and the Structure of Value
Noûs, EarlyView.ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
International Journal of Algebra and ComputationWe introduce an interesting class of left adequate monoids which we call pretzel monoids. These, on the one hand, are monoids of birooted graphs with respect to a natural ‘glue-and-fold’ operation, and on the other hand, are shown to be defined in the category of left adequate monoids by a natural class of presentations.
Daniel Heath +2 more
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