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Lie Ideals and Homoderivations in Semiprime Rings
MathematicsLet S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting map on U if any one of the following holds: (i)ℏ(a˜1a˜2)+a˜1a˜2∈Z, (ii)ℏ(a˜1a˜2)−a˜1a˜2∈Z, (iii)ℏa ...
Ali Yahya Hummdi +4 more
openaire +3 more sources
Localization at semiprime ideals
Journal of Algebra, 1976 Beachy, John A, Blair, William D
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Sums of z-Ideals and Semiprime Ideals [PDF]
, 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 +1 more source
Strongly semicontinuous domains and semi-FS domains. [PDF]
ScientificWorldJournal, 2014 He Q, Xu L.
europepmc +1 more source
Concave soft sets, critical soft points, and union-soft ideals of ordered semigroups. [PDF]
ScientificWorldJournal, 2014 Jun YB, Song SZ, Muhiuddin G.
europepmc +1 more source
Emerging trends in soft set theory and related topics. [PDF]
ScientificWorldJournal, 2015 Feng F +3 more
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Local generalized (α,β)-derivations. [PDF]
ScientificWorldJournal, 2014 Fošner A.
europepmc +1 more source
Author Correction: Generalized roughness of three dimensional (∈, ∈ ∨ q) fuzzy ideals in terms of set‑valued homomorphism. [PDF]
Sci RepBashir S +5 more
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Generalized roughness of three dimensional ( ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism. [PDF]
Sci RepBashir S +5 more
europepmc +1 more source
Correlation free large-scale probabilistic computing using a true-random chaotic oscillator p-bit. [PDF]
Sci RepLee W +5 more
europepmc +1 more source