prime near-ring
Identities in $3$-prime near-rings with left multipliers
... 3-prime near-ring with the center Z(N ) and n ≥ 1 be a fixed positive ...3-prime near-ring N is a commutative ring if and only if it admits a left multiplier F satisfying ...
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Generalized Derivations on Prime Near Rings
... Lemma 8. Let 𝑁 be a 3-prime near ring and 𝑈 a nonzero semigroup ideal of 𝑁. If 𝑓 is a nonzero right generalized deri- vation of 𝑁 with associated derivation 𝑑, then 𝑓(𝑈) ̸= {0}. Proof. Suppose 𝑓(𝑈) = ...
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On Commutativity of *-Prime Near-Rings with Derivations
... for prime near-rings: Let N be a prime near-ring, which admits a nonzero derivation ...∗-prime near-rings under some ...
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Right (θ,θ)-4-Derivations on Prime Near-Rings
... a near –ring and is a mapping on N ...in near-ring N and we determine some conditions of right ( , )-4-derivation which make prime near-ring commutative ring ...
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On Semigroup Ideals and (Ɵ, Ɵ)-3-Derivations in Near-Rings
... a near –ring and is a mapping on N ...in near-ring N and we determine some conditions of ( , )-3-derivation and semigroup ideals which make prime near-ring commutative ...
6
On Krull's intersection theorem of fuzzy ideals
... Nakayama’s lemma states that if M is a finitely generated module over R and if I is an ideal contained in the Jacobson radical of R with M = IM , then M = 0. A consequence of this fact is that if I is an ideal of a ...
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Vol 3, No 8 (2012)
... semi ring of ...and prime) ideal is also almost primary (primary and prime respectively) in a Boolean like semi ring (a special class of near ...
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On Quasi-weak Commutative Boolean-like Near-Rings
... Boolean-like ring was coined by ...Boolean ring with identity then ab(1-a)(1-b) = 0 for all a,b e ...Boolean ring as Boolean-like ring as a ring R with identity satisfying (i) ...
9
Vol 9, No 3 (2018)
... in prime and semiprime rings. The study of derivations of near-rings was initiated by ...of prime and semiprime rings admitting suitably constrained derivations and generalized derivations ...
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The Near Ring of Lipschitz Functions on a Metric Space
... In the next section, we give the required definitions and elementary results. Next, we study the behavior of the set of units and also of ideals in normed near-rings of Lipschitz functions under topological ...
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A radical for right near rings: The right Jacobson radical of type 0
... has a left identity as the intersection of a finite number of maximal right modular right ideals of R is zero. Since R is a simple near-ring with left identity, it has an identity. Also, since by our ...
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Almost Prime Ideal in Gamma Near Ring
... almost prime [3]. It has been proved that every almost prime ideal in a noetherian domain R is primary ...a ring R is an almost primary ideal if for a, b ∈ R such that ab ∈ A − A 2 , then a ∈ A or b ...
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On Finite Rank Operators on Centrally Closed Semiprime Rings
... nonzero ideal I of R (resp. if IJ ≠ 0 for all nonzero ideals , I J of R ). The center C of Q R s ( ) is called the extended centroid of R , and the C -subring Q R : = RC of Q R s ( ) generated by R is called the central ...
8
On alpha-prime and Weakly alpha-prime Submodules
... Abstract. We have introduced the notion of α-prime and weakly α-prime submodules as a gener- alization of prime submodules. Some basic properties of α-prime and weakly α-prime ...
10
On Fuzzy Soft Right Ternary Near Rings
... of near- rings using ternary product Warud Nakkhasen and Bundit Pibaljommee [20] have applied the concept of ternary semiring to define left ternary near- rings, ternary subnear- rings and their ideals and ...
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Vol 2, No 2 (2011)
... “Let R be a 2-torsion free -prime ring and U a nonzero square closed - Lie ideal of R. Suppose R admits a generalized derivation F associated with a derivation d, commuting with , such that d(x)o F(y)+ x o ...
5
Omega-almost Boolean rings
... and prime ideals of an ABR are defined anal- ogous to those of a ...all prime ideals of an ABR R together with the hull-kernel topology, forms a lo- cally Boolean space in which the sets of the form X a = ...
9
An Equation Related to Centralizers in Semiprime Gamma Rings
... 1. W.E.Barnes, On the Γ -rings of Nobusawa, Pacific J. Math., 18 (1966), 411-422. 2. Y.Ceven, Jordan left derivations on completely prime gamma rings, C.U. Fen-Edebiyat Fakultesi, Fen Bilimleri Dergisi, (2002) ...
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Rings of invariants of finite groups when the bad primes exist
... A significant step in study of rings of invariants of finite groups was the classical book of S.Montgomery [14] in which many properties of rings of invariants were studied and plenty of examples were considered ...
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Near-rings and near-ring modules
... Out of the many possible chain conditions we use maximal condition on right ideals; and minimal condition on two-sided ideals, on right ideals (called minimal condition), and on right N-subgroups (D.C.C.). This brings us ...
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