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Topological divisors of zero and Shilov boundary
Topology and its Applications, 2006 AbstractLet L be a field complete for a non-trivial ultrametric absolute value and let (A,‖⋅‖) be a commutative normed L-algebra with unity whose spectral semi-norm is ‖⋅‖si. Let Mult(A,‖⋅‖) be the set of continuous multiplicative semi-norms of A, let S be the Shilov boundary for (A,‖⋅‖si) and let ψ∈Mult(A,‖⋅‖si). Then ψ belongs to S if and only if for
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
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On topological divisors of zero in p-normed algebras without unit [PDF]
, 1967 W. Żelazko
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A Commutative Local Ring with Finite Global Dimension and Zero Divisors [PDF]
, 1969 B. L. Osofsky
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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-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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The zero divisor question for supersolvable groups [PDF]
, 1973 Edward Formanek
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Distance spectrum of some zero divisor graphs
AIMS MathematicsIn the present article, we give the distance spectrum of the zero divisor graphs of the commutative rings $ \mathbb{Z}_{t}[x]/\langle x^{4} \rangle $ ($ t $ is any prime), $ \mathbb{Z}_{t^2}[x] / \langle x^2 \rangle $ ($ t \geq 3 $ is any prime) and ...
Fareeha Jamal , Muhammad Imran
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