Results 1 to 10 of about 15,584 (255)
Wiener index of an ideal-based zero-divisor graph of commutative ring with unity
AKCE International Journal of Graphs and Combinatorics, 2023 The Wiener index of a connected graph G is [Formula: see text]. In this paper, we obtain the Wiener index of H-generalized join of graphs [Formula: see text]. As a consequence, we obtain some earlier known results in [Alaeiyan et al. in Aust. J.
Balamoorthy S. +2 more
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The Distant Graph of the Projective Line Over a Finite Ring with Unity [PDF]
Results in Mathematics, 2017 We discuss the projective line $\mathbb{P}(R)$ over a finite associative ring with unity. $\mathbb{P}(R)$ is naturally endowed with the symmetric and anti-reflexive relation "distant". We study the graph of this relation on $\mathbb{P}(R)$ and classify up to isomorphism all distant graphs $G(R, Δ)$ for rings $R$ up to order $p^5$, $p$ prime.
Edyta Bartnicka +2 more
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Introducing of the notion of development with respect to a scale in a commutative ring with unity
Journal of Numerical Analysis and Approximation Theory, 1984 Not available.
Gheorghe Halic
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Total perfect codes in graphs realized by commutative rings [PDF]
Transactions on Combinatorics, 2022 Let $R$ be a commutative ring with unity not equal to zero and let $\Gamma(R)$ be a zero-divisor graph realized by $R$. For a simple, undirected, connected graph $G = (V, E)$, a {\it total perfect code} denoted by $C(G)$ in $G$ is a subset $C(G ...
Rameez Raja
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$W_1$-ELEMENTS IN A COMMUTATIVE RING WITH UNITY [PDF]
International Journal of Pure and Applied Mathematics, 2017 Waqas Nazeer, S M Kang
exaly +2 more sources
Characterization of irreducible polynomials over a special principal ideal ring [PDF]
Mathematica Bohemica, 2023 A commutative ring $R$ with unity is called a special principal ideal ring (SPIR) if it is a non integral principal ideal ring containing only one nonzero prime ideal, its length $e$ is the index of nilpotency of its maximal ideal. In this paper, we show
Brahim Boudine
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Enumeration of Neutrosophic Involutions over Finite Commutative Neutrosophic Rings [PDF]
Neutrosophic Sets and Systems, 2023 A finite commutative ring involution is the multiplicative inverse of the element attribute R is the element itself. This classical characteristic of a finite commutative ring makes Neutrosophic involutions possible, which are counted, listed and ...
T. Chalapathi +2 more
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HYPERCOMMUTING VALUES IN ASSOCIATIVE RINGS WITH UNITY [PDF]
Journal of the Australian Mathematical Society, 2013 AbstractLet $K$ be a commutative ring with unity, $R$ an associative $K$-algebra of characteristic different from $2$ with unity element and no nonzero nil right ideal, and $f({x}_{1} , \ldots , {x}_{n} )$ a multilinear polynomial over $K$. Assume that, for all $x\in R$ and for all ${r}_{1} , \ldots , {r}_{n} \in R$ there exist integers $m= m(x, {r}_{1}
DE FILIPPIS, Vincenzo, SCUDO, GIOVANNI
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Unitary Invertible Graphs of Finite Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
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Jambura Journal of Mathematics, 2023 Near-ring is a generalization of ring. In ring theory, let R be a ring over addition and multiplication operation with unity element and G be a commutative group under addition operation.
Meryta Febrilian Fatimah +1 more
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