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Fuzzy Ideals in Gamma-Rings
(Artinian, Noetherian) G-ring fuzzy left (right) ideal level left (right) ideal
2010/3/1
The converse of [7, Theorem 3.3] is provided. For an Artinian G-ring, a few results are investigated.
Characterizations of Artinian and Noetherian Gamma-Rings in Terms of Fuzzy Ideals
(Artinian, Noetherian) G-ring fuzzy left (right) ideal G-residue class ring
2010/3/1
Using fuzzy ideals, characterizations of Noetherian G-rings are given, and a condition for a G-ring to be Artinian is also given.
On the Centroid of the Prime Gamma Rings II
G-division ring G-field extented centroid central closure
2010/3/1
The aim of this paper is to study the properities of the extended centroid of the prime G-rings. Main results are the following theorems: (1) Let M be a simple G-ring with unity. Suppose that for some...
Let M be a G-ring and D a non-zero left derivation on M. We show that if there exists an element m in M such that D(m) is a right non-zero divisor, then M is commutative.