Results 51 to 60 of about 98 (73)
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A new class of unique product monoids with applications to ring theory
Semigroup Forum, 2008Let \((S,\leq)\) 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 +2 more
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Nilradicals of the unique product monoid rings
Journal of Algebra and Its Applications, 2016Armendariz 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 +2 more
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Undirected Zero-Divisor Graphs and Unique Product Monoid Rings
Algebra Colloquium, 2019Let 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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Monoids related to self homotopy equivalences of fibred product
Topology and Its Applications, 2023Debasis Sen
exaly
Deterministic Concatenation Product of Languages Recognized by Finite Idempotent Monoids
Semigroup Forum, 2007Mario Branco
exaly