Search Results - "monoid"

This study delves into the properties of the associated act V over the monoid S of sinshT. It examines the relationship between faithful, finitely generated, and separated acts, as well as their connections to one-to-one and onto operators. Additionally, the correlation between acts over a monoid a...

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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 \(I_n\). While the rank and a set of generators of minimal size for this monoid are already known, we will pro...

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The paper shows the existence of a previously unknown relationship between the theory of monoids and category theory. A non-standard mathematical method based on terms from non-standard (not always existing) sequences is proposed. In the article in particular are proved the following statement: Ever...

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We consider finite deterministic automata such that their alphabets consist of exactly one letter of defect 1 and a set of permutations of the state set. We study under which conditions such an automaton is completely reachable. We focus our attention on the case when the set of permutations generat...

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The properties of the prime and the congruence-prime acts over monoid with zero are investigated.

Let $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ be the bicyclic semigroup extension for the family $\mathscr{F}$ of ${\omega}$-closed subsets of $\omega$ which is introduced in \cite{Gutik-Mykhalenych=2020}. We study topologizations of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ for the family...

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Petri net is said to be elementary if every place can contain no more than one token. In this paper, it is studied topological properties of the elementary Petri net for a pipeline consisting of n functional devices. If the work of the functional devices is considered continuous, we can come to some...

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For a finite Coxeter group W, a subword complex is a simplicial complex associated with a pair (Q, ρ), where Q is a word in the alphabet of simple reflections, ρ is a group element. We describe the transformations of such a complex induced by nil-moves and inverse operations on Q in the nil-Hecke mo...

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In this paper, some relations between the flows and the Enveloping Semi-group were studied. It allows to associate some properties on the topological compactification to any pointed flows. These relations enable us to study a number of the properties of the principles of flows corresponding with us...

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