Results 31 to 40 of about 575,168 (177)
Directed zero-divisor graph and skew power series rings [PDF]
Transactions on Combinatorics, 2018 Let $R$ be an associative ring with identity and $Z^{\ast}(R)$ be its set of non-zero zero-divisors. Zero-divisor graphs of rings are well represented in the literature of commutative and non-commutative rings. The directed zero-divisor graph of $R$
Ebrahim Hashemi +2 more
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Quotient Energy of Zero Divisor Graphs And Identity Graphs
مجلة بغداد للعلوم, 2023 Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph make up the graph's quotient energy.
M. Lalitha Kumari +2 more
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Zero-divisor graphs of twisted partial skew generalized power series rings [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring RG,≤;Θ and the corresponding structure of its zero-divisor graph Γ̅RG,≤;Θ. Design/methodology/approach
Mohammed H. Fahmy +2 more
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Singular spin structures and superstrings
Journal of High Energy Physics, 2023 There are two main problems in finding the higher genus superstring measure. The first one is that for g ≥ 5 the super moduli space is not projected. Furthermore, the supermeasure is regular for g ≤ 11, a bound related to the source of singularities due ...
Marco Matone
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BRAIDS, ORDERINGS AND ZERO DIVISORS [PDF]
Journal of Knot Theory and Its Ramifications, 1998 We begin with the observation that the group algebras [Formula: see text] of Artin's braid groups have no zero divisors or nontrivial units. This follows from the recent discovery of Dehornoy that braids can be totally ordered by a relation < which is invariant under left multiplication.
Rolfsen, Dale, Zhu, Jun
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Some results on the total zero-divisor graph of a commutative ring [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
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Discrete Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avinash Patil +2 more
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Electronic Notes in Discrete Mathematics, 2017 Abstract Let R be a finite commutative ring with unity ( 1 ≠ 0 ) and let Z ( R ) ⁎ be the set of non-zero zero-divisors of R. We associate a (simple) graph Γ ( R ) to R with vertices as elements of R and for distinct x , y ∈ R , the vertices x and y are adjacent if and only if xy = 0.
Deepa Sinha +2 more
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Distances in zero-divisor and total graphs from commutative rings–A survey
AKCE International Journal of Graphs and Combinatorics, 2016 There are so many ways to construct graphs from algebraic structures. Most popular constructions are Cayley graphs, commuting graphs and non-commuting graphs from finite groups and zero-divisor graphs and total graphs from commutative rings.
T. Tamizh Chelvam, T. Asir
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Journal of Pure and Applied Algebra, 2008 Let \(R[x]\) be a polynomial ring over a ring \(R\). Then \(R\) is called a right McCoy (respectively left McCoy) ring if \(f(x)g(x)=0\) for each \(f(x),g(x)\neq 0\in R[x]\) implies that \((f(x))r=0\) for some \(r\neq 0\in R\) (respectively \(rg(x)=0\)), a McCoy ring is both left and right McCoy. The authors show some standard ring theoretic properties
Camillo, Victor, Nielsen, Pace P.
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