Results 11 to 20 of about 91,509 (288)
Regular divisor graph of finite commutative ring
Tikrit Journal of Pure Science, 2023 Let R be a finite commutative ring with identity 1. We introduce a new graph called regular divisor graph and denoted by . We classify the finite commutative ring to get a special graph and we are going to study some properties of this graph, clique ...
Payman Abbas Rashid, Hataw Saleem Rashid
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Bulletin of the Australian Mathematical Society, 2006 A ring is called a commutator ring if every element is a sum of additive commutators. In this note we give examples of such rings. In particular, we show that given any ring R, a right R-module N, and a nonempty set Ω, EndR(⌖ΩN) and EndR(ΠΩN) are commutator rings if and only if either Ω is infinite or EndR(N) is itself a commutator ring.
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Polyfunctions over commutative rings
Journal of Algebra and Its Applications, 2022 A function [Formula: see text], where [Formula: see text] is a commutative ring with unit element, is called polyfunction if it admits a polynomial representative [Formula: see text]. Based on this notion, we introduce ring invariants which associate to [Formula: see text] the numbers [Formula: see text] and [Formula: see text], where [Formula: see ...
Specker, Ernst +2 more
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Classifying birationally commutative projective surfaces [PDF]
, 2009 Let R be a noetherian connected graded domain of Gelfand-Kirillov dimension 3 over an uncountable algebraically closed field. Suppose that the graded quotient ring of R is a skew-Laurent ring over a field; we say that R is a birationally commutative ...
Sierra, Susan J.
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International Journal of Electronics and Telecommunications, 2018 We propose building a new PKC in a ring structure, the classification of rings being an open problem. The difficulty of the scheme is based on retrieving the eigenvalues of endomorphism on a finite type module over a non-commutative ring. It is resistant
Jean-François Geneste
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On the Genus of the Idempotent Graph of a Finite Commutative Ring
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with identity. The idempotent graph of R is the simple undirected graph I(R) with vertex set, the set of all nontrivial idempotents of R and two distinct vertices x and y are adjacent if and only if xy = 0.
Belsi G. Gold, Kavitha S., Selvakumar K.
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Hosoya Polynomial, Wiener Index, Coloring and Planar of Annihilator Graph of Zn [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2020 Let R be a commutative ring with identity. We consider ΓB(R) an annihilator graph of the commutative ring R. In this paper, we find Hosoya polynomial, Wiener index, Coloring, and Planar annihilator graph of Zn denote ΓB(Zn) , with n= pm or n=pmq, where p,
Mohammed Ahmed +2 more
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On the Unit Graph of a Noncommutative Ring [PDF]
, 2012 Let $R$ be a ring (not necessary commutative) with non-zero identity. The unit graph of $R$, denoted by $G(R)$, is a graph with elements of $R$ as its vertices and two distinct vertices $a$ and $b$ are adjacent if and only if $a+b$ is a unit element of ...
Akbari, S., Estaji, E., Khorsandi, M. R.
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Three-Dimensional Manifolds, Skew-Gorenstein Rings and their Cohomology [PDF]
, 2010 Graded skew-commutative rings occur often in practice. Here are two examples: 1) The cohomology ring of a compact three-dimensional manifold. 2) The cohomology ring of the complement of a hyperplane arrangement (the Orlik-Solomon algebra).
Dedicated To Ralf Fröberg +1 more
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Polynomial Rings over Pseudovaluation Rings
International Journal of Mathematics and Mathematical Sciences, 2007 Let R be a ring. Let σ be an automorphism of R. We define a σ-divided ring and prove the following. (1) Let R be a commutative pseudovaluation ring such that x∉P for any P∈Spec(R[x,σ]) . Then R[x,σ] is also a pseudovaluation ring.
V. K. Bhat
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