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Applications of automata theory to presentations of monoids and inverse monoids

, 1987
There is a strong connection between monoids, automata and languages. The traditional approach is to exploit properties of the syntactic monoid of an automaton to derive characteristics of the language recognized by the automaton.
Stephen, Joseph Buchanan
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Factorizable inverse monoids

, 2010
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are restrictions of automorphisms; the formal definition is that each element is the product of an idempotent and an invertible.
Desmond FitzGerald (14736574)
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Lado noreste de la Alcazaba, Málaga

Tarjeta postal adherida a una cartulina junto a otra fotografía ...
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A new class of unique product monoids with applications to ring theory

Semigroup Forum, 2008
Let \((S,\leq)\) be an ordered monoid. This means that \(\leq\) is a partial order on \(S\) which is compatible with the operation on \(S\). The notion of an Artinian narrow unique product monoid is introduced. Namely, \((S,\leq)\) is such a monoid if for every two Artinian and narrow subsets \(A,B\) of \(S\) there exists an element in the product \(AB\
Marks, Greg, Mazurek, Ryszard, Ziembowski, Michał   +2 more
openaire   +3 more sources

On a Product of Finite Monoids [PDF]

Semigroup Forum, 1998
In this paper, for each positive integer m, we associate with a finite monoid S0 and m finite commutative monoids S1,…, Sm, a product &#x25CAm(Sm,…, S1, S0). We give a representation of the free objects in the pseudovariety &#x25CAm(Wm,…, W1, W0)
F Blanchet-Sadri
exaly   +1 more source

Nilradicals of the unique product monoid rings

Journal of Algebra and Its Applications, 2016
Armendariz rings are generalization of reduced rings, and therefore, the set of nilpotent elements plays an important role in this class of rings. There are many examples of rings with nonzero nilpotent elements which are Armendariz. Observing structure of the set of all nilpotent elements in the class of Armendariz rings, Antoine introduced the ...
Alhevaz, Abdollah, Hashemi, Ebrahim, Ziembowski, Michał   +2 more
openaire   +1 more source

Undirected Zero-Divisor Graphs and Unique Product Monoid Rings

Algebra Colloquium, 2019
Let R be an associative ring with identity and Z*(R) be its set of non-zero zero-divisors. The undirected zero-divisor graph of R, denoted by Γ(R), is the graph whose vertices are the non-zero zero-divisors of R, and where two distinct vertices r and s are adjacent if and only if rs = 0 or sr = 0. The distance between vertices a and b is the length of
Ebrahim Hashemi, Abdollah Alhevaz
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The identities of the free product of a pair of two-element monoids [PDF]

Algebra Universalis, 2019
Up to isomorphism, there exist two non-isomorphic two-element monoids. We show that the identities of the free product of every pair of such monoids admit no finite basis.
Mikhail Volkov
exaly   +2 more sources

n-Generalized Schützenberger-Crossed Product of Monoids

Ukrainian Mathematical Journal
We study the n-generalized Sch & uuml;tzenberger-crossed product from the viewpoint of combinatorial group theory and introduce a new version of this product.
Kırmızı Çetinalp, Esra, Çetinalp, Esra Kırmızı   +1 more
exaly   +2 more sources

Weighted PCL over Product Valuation Monoids

Lecture Notes in Computer Science, 2020
Paulina Paraponiari
exaly