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On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal
Discrete Dynamics in Nature and Society, 2019 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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Unicyclic Graphs Whose Completely Regular Endomorphisms form a Monoid
Mathematics, 2020 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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Algebraic and combinatorial structures on Baxter permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We give a new construction of a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (\emphi.e.
Samuele Giraudo
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Group Fuzzy Languages and its Generalizations
Ratio Mathematica, 2023 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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On unitary extensions and unitary completions of topological monoids
Topological Algebra and its Applications, 2016 The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
Averbukh Boris G.
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Garside monoids vs divisibility monoids [PDF]
Mathematical Structures in Computer Science, 2005 Divisibility monoids (resp. Garside monoids) are a natural algebraic generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids), namely monoids in which the distributivity of the underlying lattices (resp. the existence of common multiples) is kept as an hypothesis, but the relations between the generators are not supposed to ...
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Monoidal Supercategories [PDF]
Communications in Mathematical Physics, 2017 42 pages, sign error in Definition 1.16 ...
Brundan, Jonathan, Ellis, Alexander P.
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On endomorphisms of groups of orders 37–47; pp. 137–150 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 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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Cohomology monoids of monoids with coefficients in semimodules II [PDF]
Semigroup Forum, 2014 We relate the old and new cohomology monoids of an arbitrary monoid $M$ with coefficients in semimodules over $M$, introduced in the author's previous papers, to monoid and group extensions. More precisely, the old and new second cohomology monoids describe Schreier extensions of semimodules by monoids, and the new third cohomology monoid is related to
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Division in the Plactic Monoid [PDF]
, 2022 In [1], a novel cryptographic key exchange technique was proposed using the plactic monoid, based on the apparent difficulty of solving division problems in that monoid.
Chris Monico
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