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Fuzzy Maximal Ideals of Gamma Near-Rings
(normal) fuzzy ideal fuzzy maximal ideal complete normal fuzzy ideal
2010/3/1
Fuzzy maximal ideals and complete normal fuzzy ideals in G-near-rings are considered, and related properties are investigated.
Note on Generalized Jordan Derivations Associate with Hochschild 2-cocycles of Rings
Derivation Jordan derivation generalized derivation generalized Jordan derivation Hochschild 2-cocycle
2010/2/26
We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain condit...
On Jordan Generalized Higher Derivations in Rings
Higher Derivations Generalized Higher Derivations Commutator
2010/2/26
I. N. Herstein proved that any Jordan derivation on a prime ring of characteristic not 2 is a derivation. M. Breşar extended this result to semiprime rings, while M. Ferrero and C. Haetinger exte...
Characterizations of Augmented Graded Rings
Graded rings Augmented graded rings Strongly graded rings
2010/2/26
In this paper, we introduce some characterizations for augmented graded rings in special cases.
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...
The aim of this paper is to introduce the notion of fuzzy left (resp. right) ideals of G-near-rings, and to study the related properties.
In this paper, we prove the commutativity of a ring R with unity satisfying one of the following ring properties: (P1) For each x, y in R, {1- h(yxr)}[x,yxr - f(yxr)]{1-g(yxr)}=0 for some (P2) Given x...
In this paper we study the augmented graded rings and give the ralationship between these rings and stronger properties of graded rings.
Let X = {M : Z*(M) = 0} and X* = {M : Q <= P<=M, P/Q (BAK) X implies P/Q = 0} be classes of R-modules. In this note we study the structure of rings R over which every module M has a decomposition M = ...
Let R be a prime ring. Let s , t be two homomorphisms and d be a (s,t)-derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a non-zero ideal of R, s is subjec...
In this paper, we proved some results for one-sided (s, t)-Lie ideals in prime rings.
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.