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A left Ehresmann semigroup \(S\) is a semigroup equipped with an additional unary operation \(^+\) satisfying the following identities: \(x^+x=x\), \((x^+y^+)^+=x^+y^+=y^+x^+\), \((xy)^+=(xy^+)^+\). The set \(E_S=\{s^+\mid s\in S\}\) is called \textit{the semilattice of projections} of \(S\) (under a natural partial order) or \textit{the distinguished ...
Mário J.J. Branco +2 more
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Ordered Monoids and J-Trivial Monoids [PDF]
The aim of this paper is to give a new proof of the following result of Straubing and Thérien (which is also a consequence of a well-known result of I. Simon): Every J-trivial monoid is a quotient of an ordered monoid satisfying the identity x
Henckell, Karsten, Pin, Jean-Eric
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Unicyclic Graphs Whose Completely Regular Endomorphisms form a Monoid
In this paper, completely regular endomorphisms of unicyclic graphs are explored. Let G be a unicyclic graph and let c E n d ( G ) be the set of all completely regular endomorphisms of G.
Rui Gu, Hailong Hou
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A comultiplication on a monoid S is a homomorphism m:S→S∗S (the free product of S with itself) whose composition with each projection is the identity homomorphism.
Martin Arkowitz, Mauricio Gutierrez
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Group Fuzzy Languages and its Generalizations
In fuzzy language theory, every monoid is the syntactic monoid of some fuzzy language. By using this result the properties of fuzzy language can be studied by the algebraic properties of the syntactic monoids. There are so many methods for studying fuzzy
Archana Vasudevan Pillai Prasanna +2 more
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AbstractThis paper is concerned with a new notion of coherency for monoids. A monoid S is right coherent if the first order theory of right S-sets is coherent; this is equivalent to the property that every finitely generated S-subset of every finitely presented right S-set is finitely presented.
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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
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On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal
In this paper, we study a class of naturally ordered abundant semigroups with an adequate monoid transversal, namely, naturally ordered concordant semigroups with an adequate monoid transversal.
Wei Chen
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Monoid varieties with extreme properties
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.
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