Results 141 to 150 of about 1,727 (183)

Zero Divisors and Orlicz Spaces

Journal of Mathematical Sciences, 2022
Let \(G\) be a countable discrete group and let \(\Phi\) be a Young function on \(G\). Let \(\alpha\) be a nonzero element in \(\ell^1(G)\) and denote convolution of functions on \(G\) by \(\ast\). We shall say that \(\alpha\) is a \(\Phi\)-zero divisor if there exists a nonzero function \(\beta\) in the Orlicz space \(\ell^{\Phi}(G)\) that satisfies \(
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On Domination in Zero-Divisor Graphs

Canadian Mathematical Bulletin, 2013
AbstractWe first determine the domination number for the zero-divisor graph of the product of two commutative rings with 1. We then calculate the domination number for the zero-divisor graph of any commutative artinian ring. Finally, we extend some of the results to non-commutative rings in which an element is a left zero-divisor if and only if it is a
Rad, Nader Jafari   +2 more
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Zero Divisors of Atomic Functions

The Annals of Mathematics, 1992
The authors develop a theory of zero divisors or zero currents for sections of a vector bundle under an orientation condition. An \(R^ n\)- valued function is said to be atomic if the function pulls back the basic forms \(dy^ I/| y|^ p\) on \(R^ n\) to locally Lebesgue integrable forms on the domain manifold in the range \(p=| I| \leq n-1\).
Harvey, F. Reese, Semmes, Stephen W.
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The Zero-Divisor Graph of a Lattice

Results in Mathematics, 2010
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Estaji, E., Khashyarmanesh, K.
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The k-zero-divisor hypergraph

Ricerche di Matematica, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haouaoui, Amor, Benhissi, Ali
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NORMAL PAIRS WITH ZERO-DIVISORS

Journal of Algebra and Its Applications, 2011
Results of Davis on normal pairs (R, T) of domains are generalized to (commutative) rings with nontrivial zero-divisors, particularly complemented rings. For instance, if T is a ring extension of an almost quasilocal complemented ring R, then (R, T) is a normal pair if and only if there is a prime ideal P of R such that T = R[P], R/P is a valuation ...
Dobbs, David E., Shapiro, Jay
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Zero-divisors and zero-divisor graphs of power series rings

Ricerche di Matematica, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haouaoui, Amor, Benhissi, Ali
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