Results 81 to 90 of about 1,727 (183)
Rings in which every left zero-divisor is also a right zero-divisor and conversely
Journal of Algebra and Its Applications, 2019 A ring [Formula: see text] is called eversible if every left zero-divisor in [Formula: see text] is also a right zero-divisor and conversely. This class of rings is a natural generalization of reversible rings. It is shown that every eversible ring is directly finite, and a von Neumann regular ring is directly finite if and only if it is eversible. We
Ghashghaei, E. +3 more
openaire +3 more sources
Randić spectrum of the weakly zero-divisor graph of the ring ℤn
AKCE International Journal of Graphs and CombinatoricsIn this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integers ...
Nadeem Ur Rehman +3 more
doaj +1 more source
On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]
Categories and General Algebraic Structures with Applications, 2016 Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors. The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero zero-divisors of $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi +2 more
doaj
Zero-Divisors of Content Algebras
, 2010 In this article, we prove that in content extentions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of diameter of zero-divisor graph under content extensions.
openaire +3 more sources
تصنیف بیانات قواسم الصفر للحلقات الابدالیة ذات الدرجات 11, 12 و 13
Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 Nazar H. Shuker, Husam Q. Mohammad
doaj +1 more source
تصنیف بیانات قواسم الصفر للحلقات الإبدالیة ذات الدرجات 7 و 8
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 Husam Q. Mohammad, Nazar H. Shuker
doaj +1 more source
On domination numbers of zero-divisor graphs of commutative rings
Electronic Journal of Graph Theory and ApplicationsZero-divisor graphs of a commutative ring R, denoted Γ(R), are well-represented in the literature. In this paper, we consider domination numbers of zero-divisor graphs. For reduced rings, Vatandoost and Ramezani characterized the possible graphs for Γ(R)
Sarah E. Anderson +3 more
doaj +1 more source
A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs
Turkish Journal of Mathematics and Computer ScienceIn this paper, we introduce the t-zero divisor graph $\Gamma_{T}(L)$, which is a generalization of the zero divisor graph of a lattice $\Gamma(L)$, where $t$ is a triangular norm on $L$. We investigate which properties hold in $t$-zero divisor graphs for special $t$-norms while giving some additional properties of the zero divisor graph.
openaire +2 more sources
, 2001 Studying the notion of Smarandache zero divisor in semigroups and rings, illustrating them with examples and proving some interesting results about them.
openaire +2 more sources