Results 51 to 60 of about 2,525 (93)

Generalized Results on Monoids as Memory

open access: yes, 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 ...
D'Alessandro, Flavio   +2 more
core   +1 more source

Characterizing Topologically Dense Injective Acts and Their Monoid Connections

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we explore the concept of topologically dense injectivity of monoid acts. It is shown that topologically dense injective acts constitute a class strictly larger than the class of ordinary injective ones. We determine a number of acts satisfying topologically dense injectivity.
Masoomeh Hezarjaribi Dastaki   +3 more
wiley   +1 more source

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah   +2 more
wiley   +1 more source

Probabilistic Monads, Domains and Classical Information

open access: yes, 2012
Shannon's classical information theory uses probability theory to analyze channels as mechanisms for information flow. In this paper, we generalize results of Martin, Allwein and Moskowitz for binary channels to show how some more modern tools ...
Mislove, Michael
core   +2 more sources

Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications

open access: yesJournal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Many real‐world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the understanding of complex systems and their dynamics.
Muhammad Nadeem   +3 more
wiley   +1 more source

On ∼n Notion of Conjugacy in Some Classes of Epigroups

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The action of any group on itself by conjugation and the corresponding conjugacy relation plays an important role in group theory. Generalizing the group theoretic notion of conjugacy to semigroups is one of the interesting problems, and semigroup theorists had produced substantial amount of research in this direction.
Aftab Hussain Shah   +3 more
wiley   +1 more source

The algebra of the monoid of order-preserving functions on an n-set and other reduced E-Fountain semigroups

open access: yesSemigroup Forum
Abstract With every reduced E -Fountain semigroup S which satisfies the generalized right ample condition we associate a category with zero morphisms $$\mathcal {C}(S)$
openaire   +2 more sources

The Semigroups B\u3csub\u3e2\u3c/sub\u3e and B\u3csub\u3e0\u3c/sub\u3e are Inherently Nonfinitely Based, as Restriction Semigroups [PDF]

open access: yes, 2013
The five-element Brandt semigroup B2 and its four-element subsemigroup B0, obtained by omitting one nonidempotent, have played key roles in the study of varieties of semigroups.
Jones, Peter R.
core   +1 more source

Further results on monoids acting on trees

open access: yes, 2011
This paper further develops the theory of arbitrary semigroups acting on trees via elliptic mappings. A key tool is the Lyndon-Chiswell length function L for the semigroup S which allows one to construct a tree T and an action of S on T via elliptic maps.
Rhodes, John, Silva, Pedro V.
core   +1 more source

Convolution, Separation and Concurrency [PDF]

open access: yes, 2014
A notion of convolution is presented in the context of formal power series together with lifting constructions characterising algebras of such series, which usually are quantales. A number of examples underpin the universality of these constructions, the
Dongol, Brijesh   +2 more
core  

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