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Generalized Results on Monoids as Memory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We show that some results from the theory of group automata and monoid automata still hold for more general classes of monoids and models. Extending previous work for finite automata over commutative groups, we demonstrate a context-free language that ...
Özlem Salehi +2 more
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The monoid-now: a category theoretic approach to the structure of phenomenological time-consciousness [PDF]
Frontiers in Psychology, 2023 Human consciousness is characterized by constant transitions in time. On the other hand, what is consciously experienced always possesses the temporal feature of “now.” In consciousness, “now” constantly holds different contents, yet it remains “now” no ...
Shigeru Taguchi +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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A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID
Ural Mathematical Journal, 2023 In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of \(I_n\).
Apatsara Sareeto, Jörg Koppitz
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Primitive orthogonal idempotents for R-trivial monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid.
Chris Berg +3 more
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All Maximal Idempotent Submonoids of Generalized Cohypersubstitutions of Type τ = (2)
Discussiones Mathematicae - General Algebra and Applications, 2021 A generalized cohypersubstitution of type τ is a mapping σ which maps every ni-ary cooperation symbol fi to the coterm σ(f ) of type τ = (ni)i∈I. Denote by CohypG(τ) the set of all generalized cohypersubstitutions of type τ.
Chansuriya Nagornchat
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Prefix monoids of groups and right units of special inverse monoids
Forum of Mathematics, Sigma, 2023 A prefix monoid is a finitely generated submonoid of a finitely presented group generated by the prefixes of its defining relators. Important results of Guba (1997), and of Ivanov, Margolis and Meakin (2001), show how the word problem for certain one ...
Igor Dolinka, Robert D. Gray
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A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
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A Study on Centralizing Monoids with Majority Operation Witnesses
Scientific Annals of Computer Science, 2023 A centralizing monoid M is a set of unary operations which commute with some set F of operations. Here, F is called a witness of M . On a 3-element set, a centralizing monoid is maximal if and only if it has a constant operation or a majority ...
Hajime Machida
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On finest unitary extensions of topological monoids
Topological Algebra and its Applications, 2015 We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative ...
Averbukh Boris G.
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