Results 51 to 60 of about 30,322 (203)
A new category of algebro-geometric objects is defined. This construction is a vast generalization of existing F1-theories, as it contains the the theory of monoid schemes on the one hand and classical algebraic theory, e.g.
ANTON DEITMAR +4 more
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The author develops an algebraic theory for languages of data words, i.e. words over an alphabet \(\Sigma\times \mathbb{D}\) where \(\Sigma\) is a finite set of labels and \(\mathbb{D}\) is an infinite set of data values. Some of the key notions of the paper are defined relative to a given data symmetry \((\mathbb{D},G)\) in which \(G\) is a subgroup ...
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On endomorphisms of groups of orders 37–47; pp. 137–150 [PDF]
It is proved that the finite groups of orders 37â47 are determined by their endomorphism monoids in the class of all groups.
Alar Leibak, Peeter Puusemp
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Factoring Continuous Characters Defined on Subgroups of Products of Topological Groups
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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We construct a new monoid structure for Artin groups associated with finite Coxeter systems. This monoid shares with the classical positive braid monoid a crucial algebraic property: it is a Garside monoid.
Bessis, David
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Counting monogenic monoids and inverse monoids
9 pages (2 figures, 1 table, updated with number of improvement, to appear in Comm. Alg.)
L. Elliott, A. Levine, J. D. Mitchell
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A Categorical Approach to Syntactic Monoids [PDF]
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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Realizable sets of catenary degrees of numerical monoids
The catenary degree is an invariant that measures the distance between factorizations of elements within an atomic monoid. In this paper, we classify which finite subsets of $\mathbb Z_{\ge 0}$ occur as the set of catenary degrees of a numerical monoid ...
O'Neill, Christopher, Pelayo, Roberto
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On locally compact shift-continuous topologies on the α-bicyclic monoid
A topology τ on a monoid S is called shift-continuous if for every a, b ∈ S the two-sided shift S → S, x ↦ axb, is continuous. For every ordinal α ≤ ω, we describe all shift-continuous locally compact Hausdorff topologies on the α-bicyclic monoid Bα ...
Bardyla Serhii
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SOLVING DIFFERENCE EQUATIONS IN SEQUENCES: UNIVERSALITY AND UNDECIDABILITY
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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