Results 1 to 10 of about 15,123 (144)
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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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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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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Gap-opening Planets Make Dust Rings Wider
The Astrophysical Journal, 2023 As one of the most commonly observed disk substructures, dust rings from high-resolution disk surveys appear to have different radial widths. Recent observations on PDS 70 and AB Aur reveal not only planets in the disk, but also the accompanying wide ...
Jiaqing Bi, Min-Kai Lin, Ruobing Dong
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Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Axioms, 2019 In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of ...
Metod Saniga, Edyta Bartnicka
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