Results 41 to 50 of about 35,172 (254)

Partial actions of monoids [PDF]

open access: yes, 2007
We investigate partial monoid actions, in the sense of Megrelishvili and Schroeder [12]. These are equivalent to a class of premorphisms, which we call strong premorphisms.
Hollings, Christopher
core   +1 more source

Weakly abundant semigroups within certain subsemigroups of the semigroup of full contraction mappings of a finite chain

open access: yesMathematics Open
Let [Formula: see text] be a finite n-chain [Formula: see text], and let [Formula: see text] be the monoid of full contraction mappings on [Formula: see text].
M. M. Zubairu, A. Umar, A. Jibrin
doaj   +1 more source

A Categorical Approach to Syntactic Monoids [PDF]

open access: yesLogical 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
doaj   +1 more source

Nominal Monoids [PDF]

open access: yesTheory of Computing Systems, 2013
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 ...
openaire   +2 more sources

Monoid varieties with extreme properties

open access: yes, 2018
Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and surprisingly, no finite monoid is known to generate a monoid variety with countably infinitely many subvarieties.
Jackson, Marcel, Lee, Edmond W. H.
core   +1 more source

On topologies on the underlying set of a topological monoid induced by its unitary extensions

open access: yesTopological 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.
doaj   +1 more source

Factoring Continuous Characters Defined on Subgroups of Products of Topological Groups

open access: yesAxioms, 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
doaj   +1 more source

Counting monogenic monoids and inverse monoids

open access: yesCommunications in Algebra, 2023
9 pages (2 figures, 1 table, updated with number of improvement, to appear in Comm. Alg.)
L. Elliott, A. Levine, J. D. Mitchell
openaire   +5 more sources

SOLVING DIFFERENCE EQUATIONS IN SEQUENCES: UNIVERSALITY AND UNDECIDABILITY

open access: yesForum 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
doaj   +1 more source

Syntactic Monoids in a Category [PDF]

open access: yes, 2015
The syntactic monoid of a language is generalized to the level of a symmetric monoidal closed category D. This allows for a uniform treatment of several notions of syntactic algebras known in the literature, including the syntactic monoids of Rabin and ...
Adamek, Jiri   +2 more
core   +2 more sources

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