zero divisor


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zero divisor

[¦zir·ō di′vīz·ər]
(mathematics)
References in periodicals archive ?
Coverage includes a guide to closure operations in commutative algebra, a survey of test ideals, finite-dimensional vector spaces with Frobenius action, finiteness and homological conditions in commutative group rings, regular pullbacks, noetherian rings without finite normalization, Krull dimension of polynomial and power series rings, the projective line over the integers, on zero divisor graphs, and a closer look at non-unique factorization via atomic decay and strong atoms.
Lee, Power series rings satisfying a zero divisor porperty, Comm.
4 is either the ring without zero divisors or the ring with [R.
Rehman showed that if R is a 2-torsion free ring which has a commtator non zero divisor, then every Jordan generalize derivation on R is generalize derivation.
An element a [member of] R\{0} is a S-weak zero divisor if there exists b [member of] R\{0, a} such that a, b = 0 satisfying the following conditions: There exists x, y [member of] R\{0, a, b} such that
Abstract In this paper we find the number of smarandache zero divisors (S-zero divisors) and smarandache weak zero divisors (S-weak zero divisors) for the loop rings [Z.
In the first section, we just recall the definitions of S-zero divisors and S-weak zero divisors and some of the properties of the new class of loops [L.
Determination of the number of S-weak zero divisors in [Z.
Left zero divisors are right zero divisors, if ab = 0 implies ba = 0.
Let N be a weak commutative near-ring without non-zero zero divisors.
Since N has no non-zero zero divisors, we get ya - a = 0.