Results 201 to 210 of about 88,527 (242)

Zero-divisor super-$$\lambda$$ graphs

São Paulo Journal of Mathematical Sciences, 2022
A maximally edge-connected graph with all minimum edge-cuts trivial is called super-\(\lambda\). In this paper, using the finite direct product of finite fields, the ring of the residues, and the trivial extension of rings by a module, the authors show that there are various classes of rings whose zero-divisor graphs are super-\(\lambda\) and then ...
Driss Bennis   +2 more
openaire   +1 more source

The k-zero-divisor hypergraph

Ricerche di Matematica, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haouaoui, Amor, Benhissi, Ali
openaire   +1 more source

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.
openaire   +2 more sources

The rings where zero-divisor polynomials have zero-divisor coefficients

Rocky Mountain Journal of Mathematics, 2021
The aim of this paper is to introduce and study a new class of rings which is called \(\mathrm{ZPZC}\) rings. It is shown that every right McCoy ring is a \(\mathrm{ZPZC}\) ring, and an example is given to show that a \(\mathrm{ZPZC}\) ring need not be right McCoy.
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +1 more source

Generalized Zero-divisor Graphs

2021
The zero-divisor graph of a commutative ring has been generalized by several authors. The two most notable generalizations are the ideal-based zero-divisor graph and annihilating-ideal graph of commutative rings. We first discuss the ideal-based zero-divisor graph of a commutative ring.
David F. Anderson   +3 more
openaire   +1 more source

Identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings

2022
Summary: We provide criteria for identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings, and extend these criteria to compressed zero-divisor graphs. Finally, our results are translated as constructions for exact zero-divisor subgraphs.
openaire   +1 more source

Home - About - Disclaimer - Privacy