Results 1 to 10 of about 172 (46)
Computing Grbner bases and invariants of the symmetric algebra [PDF]
, 2017 We study algebraic invariants of the symmetric algebra SymR.L/ of the square-free monomial ideal LD In 1CJn 1 in the polynomial ring RDKŒX1; : : : ;XnIY1; : : : ;Yn, where In 1 (resp.
M. Barbiera
semanticscholar +2 more sources
On graphs associated to ring of Guassian integers and ring of integers modulo n
Acta Universitatis Sapientiae: Informatica, 2022 For a commutative ring R with identity 1, the zero-divisor graph of R, denoted by Γ(R), is a simple graph whose vertex set is the set of non-zero zero divisors Z*(R) and the two vertices x and y ∈ Z*(R) are adjacent if and only if xy = 0.
Pirzada S., Bhat M. Imran
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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 1-absorbing δ-primary ideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let R be a commutative ring with nonzero identity. Let 𝒥(R) be the set of all ideals of R and let δ : 𝒥 (R) → 𝒥 (R) be a function. Then δ is called an expansion function of ideals of R if whenever L, I, J are ideals of R with J ⊆ I, we have L ⊆ δ (L) and
Khalfi Abdelhaq El +3 more
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A Study on Commutative Elliptic Octonion Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of
Sürekçi Arzu Cihan +1 more
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Amalgamated rings with m-nil clean properties [PDF]
, 2023 A ring is called m-nil clean if every element is a sum of a nilpotentand an m-potent element. We study some properties of m-nil cleanring and we also investigate the transfer of m-nil clean property to theamalgamated algebra of R with S along J with ...
Chelliah, Selvaraj +1 more
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Metric and upper dimension of zero divisor graphs associated to commutative rings
Acta Universitatis Sapientiae: Informatica, 2020 Let R be a commutative ring with Z*(R) as the set of non-zero zero divisors. The zero divisor graph of R, denoted by Γ(R), is the graph whose vertex set is Z*(R), where two distinct vertices x and y are adjacent if and only if xy = 0.
Pirzada S., Aijaz M.
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On (1,2)-absorbing primary ideals and uniformly primary ideals with order ≤ 2
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This paper introduces a subset of the set of 1-absorbing primary ideals introduced in [3]. An ideal I of a ring R is (1,2)-absorbing primary if, whenever non-unit elements α, β, γ ∈ R with αβγ ∈ I,then αβ ∈ I or γ2 ∈ I.
Alhazmy Khaled +3 more
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On the metric dimension of strongly annihilating-ideal graphs of commutative rings
Acta Universitatis Sapientiae: Mathematica, 2020 Let be a commutative ring with identity and 𝒜() be the set of ideals with non-zero annihilator. The strongly annihilating-ideal graph of is defined as the graph SAG() with the vertex set 𝒜 ()* = 𝒜 () \{0} and two distinct vertices I and J are ...
Soleymanivarniab V. +2 more
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Blast-Transition Domination for the -∂ Obrazom of Zero Divisor Graph over Ring Zn
International Journal of Engineering and Advanced Technology, 2019 The hub of this article is a search on the behavior of the blast domination and the blast transition domination for the obrazom of zero divisor graphs.AMS Subject Classification: 13A99, 13M99, 05C76, 05C69.
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