Results 11 to 20 of about 485,317 (263)
ON THE NILPOTENT DOT PRODUCT GRAPH OF A COMMUTATIVE RING [PDF]
Journal of Algebraic SystemsLet $\mathscr{B}$ be a commutative ring with $1\neq 0$, $1\leq ...
Asma Ali, Bakhtiyar Ahmad
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ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT [PDF]
Journal of Algebraic SystemsThe rings considered in this article are commutative with identity which are not integral domains. Let R be a ring. The sum annihilating ideal graph of R is an undirected graph whose vertex set is the set of all non-zero annihilating ideals of R and ...
Subramanian Visweswaran, Patat Sarman
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Notes on the zero-divisor graph and annihilating-ideal graph of a reduced ring
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We translate some graph properties of 𝔸𝔾(R) and Γ(R) to some topological properties of Zariski topology. We prove that the facts “(1) The zero ideal of R is an anti fixed-place ideal. (2) Min(R) does not have any isolated point. (3) Rad(𝔸𝔾 (R)) = 3.
Badie Mehdi
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On orthogonal completion of reduced rings [PDF]
Pacific Journal of Mathematics, 1983 It is known that the relation \(a\leq b\) if \(a\cdot b=a^ 2\) defined for reduced rings R (rings with no nonzero nilpotent elements) makes R into a partially ordered multiplicative semigroup. A subset X of R is called an orthogonal subset of R if for x,\(y\in X\), \(x\neq y\) implies \(x\cdot y=0\).
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Energies, 2020 The demand for high-speed servomotors is increasing, and minimal losses in both high-speed and high-torque regions are required. Copper loss reduction in permanent magnet motors can be achieved by configuring concentrated winding, but there are more ...
Mitsuhide Sato +7 more
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Zero-divisor graphs of reduced Rickart *-rings
Discussiones Mathematicae - General Algebra and Applications, 2017 For a ring A with an involution *, the zero-divisor graph of A, Γ*(A), is the graph whose vertices are the nonzero left zero-divisors in A such that distinct vertices x and y are adjacent if and only if xy* = 0.
Patil A.A., Waphare B.N.
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On reduced archimedean skew power series rings [PDF]
Journal of Algebra and Its Applications, 2020 In this paper, we prove that if [Formula: see text] is an Archimedean reduced ring and satisfy ACC on annihilators, then [Formula: see text] is also an Archimedean reduced ring. More generally, we prove that if [Formula: see text] is a right Archimedean ring satisfying the ACC on annihilators and [Formula: see text] is a rigid automorphism of [Formula:
Mousavi, Hamed +2 more
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Ring-Over-Ring Deslipping From Imine-Bridged Heterorotaxanes
Frontiers in Chemistry, 2022 Ring-over-ring slippage and ring-through-ring penetration are important processes in the construction of ring-in-ring multiple interlocked architectures.
Sayaka Hoshino +2 more
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Assessing soil microbes that drive fairy ring patterns in temperate semiarid grasslands
BMC Ecology and Evolution, 2022 Background Fairy rings occur in diverse global biomes; however, there is a critical knowledge gap regarding drivers of fairy rings in grassland ecosystems. Grassland fairy rings are characterized belowground by an expanding mycelial front and aboveground
Jiahuan Li +7 more
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Communications in Algebra, 2004 Abstract A ring R is called Armendariz if, whenever in R[x], a i b j = 0 for all i and j. In this paper, some “relatively maximal” Armendariz subrings of matrix rings are identified, and a necessary and sufficient condition for a trivial extension to be Armendariz is obtained. Consequently, new families of Armendariz rings are presented.
Lee, T.-K., Zhou, Y.
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