Results 121 to 130 of about 474 (163)

Sums of z-Ideals and Semiprime Ideals

open access: yes, 1982
If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K}. The relationship between ideals (or submodules) of B and those of B(K) is examined carefully, and this construction is used to find a lattice-ordered ...
Smith, Frank A., Henriksen, Melvin
core  

Computing high-degree polynomial gradients in memory. [PDF]

open access: yesNat Commun
Bhattacharya T   +8 more
europepmc   +1 more source

On weakly semiprime ideals in noncommutative ring

open access: yesGulf Journal of Mathematics
We extend the concept of weakly semiprime ideals, originally defined by A. Badawi for commutative rings, to the noncommutative setting. We define a proper ideal I of a noncommutative ring R to be weakly semiprime if for any a ∈ R, 0 ≠ aRa ⊆ I implies a ∈ I.
openaire   +1 more source

Factoring Ideals into Semiprime Ideals

open access: yesCanadian Journal of Mathematics, 1978
Let D be an integral domain with 1 ≠ 0 . We consider “property SP” in D, which is that every ideal is a product of semiprime ideals. (A semiprime ideal is equal to its radical.) It is natural to consider property SP after studying Dedekind domains, which involve factoring ideals into prime ideals.
Vaughan, N. H., Yeagy, R. W.
openaire   +3 more sources

Fuzzy ideals and semiprime fuzzy ideals in semigroups

Information Sciences, 2009
The results of this paper concern \(\varphi\)-fuzzy ideals in a \(\varphi\)-fuzzy semigroup, where \(\varphi\) is either a pseudo-\(t\)-norm or a weak pseudo-\(t\)-norm. Let \((L,\leq)\) be a lattice with top element 1 and bottom element 0. A pseudo-\(t\)-norm is a function \(\varphi\colon L\times L\to L\) such that \(\forall x,y,z\in L\), (1) \(x\leq ...
S Yamak
exaly   +3 more sources

On semiprime fuzzy ideals

Fuzzy Sets and Systems, 1993
The authors define the concept of a semiprime fuzzy ideal of a ring \(R\) in a different manner than has been done previously. Their definition is equivalent to previous definitions and makes use of the grade of membership of an element of \(R\). The authors then determine some basic properties of semiprime fuzzy ideals. Let \(f\) be a homomorphism of \
H V Kumbhojkar
exaly   +3 more sources

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