[PDF] Top 20 Projective prime ideals and localisation in pi rings
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Projective prime ideals and localisation in pi rings
... is projective we know that M*(M ) is an idempotent ideal of R which contains ...minimal prime ideal of the semi-prime Noetherian ring R \ N, it follows that M \ N is a direct summand of R \ ... See full document
13
Hereditary rings and rings of finite representation type
... Dedekind prime PI ring and dD its maximal ...extension rings o f Artin ...PI rings. Then we analyze the graph of links between maximal ideals of ...a prime ring satisfying ... See full document
129
ON ANALYSES OF PRIME GAMMA RINGS AND PRIME GAMMA RADICALS
... The prime ideals and prime radicals in the projective product of Gamma-rings are extensively studied in this ...the projective product of any two gamma rings can never be ... See full document
9
On two generalizations of semi-projective modules: SGQ-projective and $pi$-semi-projective
... morphism f : M → N , where N is a submodule of M , and for any homomorphism g : M → N , there exists h : M → M such that f h = g. In this paper, we study SGQ-projective andπ-semi- projective modules as two ... See full document
11
On Semi Prime Ideals in Nearlattices
... semi prime ideals in a ...semi prime ideal if for all x , y , z ∈ L , x ∧ y ∈ I and x ∧ z ∈ I imply x ∧ ( y ∨ z ) ∈ I ...semi prime ideal. Moreover, every prime ideal is semi ...semi ... See full document
9
Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field
... relatively prime rational integers and then makes arguments which would normally hold in the ring Z ...unique prime factorization in Z to obtain a ... See full document
38
Fuzzy prime ideals redefined
... Similarly, we can obtain corresponding conclusions about a (λ, μ)-fuzzy semiprime ideal, a (λ, μ)-fuzzy primary ideal and a (λ, μ)-fuzzy semiprimary ideal. But in general, the homomorphism image f (A) of a (λ, μ)-fuzzy ... See full document
10
ON ROUGH IDEALS IN ?-NEAR-RINGS
... The aim of this paper is to present the concepts of congruence relation in -near-rings and the lower and upper approximations of an ideal with respect to the congruence relation and introduce the notion of rough ... See full document
7
Some Properties of Semi-Prime Ideals in Lattices
... a ∈ . Let D = ( L − P ) ∨ [ a ) . We claim that J ∩ D = φ . Indeed, if j ∈ J ∩ D , then j ≥ q ∧ a for some q ∈ L − P , which implies that q ∧ a ∈ J , and so q ≤ a + . Thus q ∈ P gives a contradiction. Then a + ∉ D , for ... See full document
10
A Primer of Commutative Algebra
... such that g divides f . If the coefficients of f are integral over A, then so also are those of g. P ROOF . There exists a ring B 0 containing B such that f splits in B 0 ŒT . This can be constructed in the same as way ... See full document
113
Generalized Derivations of Prime Rings
... Lie ideals of a prime ring, and obtain some useful ...a prime ring. Throughout this paper, R will be a prime ring and U will always denote a Lie ideal of ... See full document
6
Ideals in $P_k$ and $P_k’$ seminear-rings
... The concept of seminear-rings was introduced by Willy G. van Hoorn and B. van Rootselaar in 1967 [6] and[8]. Seminear-rings are a common generalization of near-rings and semi-rings. Right ... See full document
5
Centres and invertible ideals of Noetherian rings
... Several preparatory sections are associated with these results, namely those on Invertible Ideals (3.6), hereditary Noetherian prime rings (3.8) and completions (3.10). The last of these deals with ... See full document
125
ROUGH FUZZY-IDEALS OF -NEAR-RINGS
... fuzzy ideals with respect to ...fuzzy ideals, rough fuzzy bi- ideals and rough fuzzy quasi-ideals in -near-rings along few ...fuzzy ideals in rings ... See full document
6
On derivations and commutativity in prime rings
... Fact 2 . Any derivation of R can be uniquely extended to a derivation of Q, and so any derivation of R can be defined on the whole of Q [1, Proposition 2.5.1]. Moreover, Q is a prime ring as well as R and the ... See full document
7
On Krull's intersection theorem of fuzzy ideals
... 3. Primary decomposition. In this section, we describe a method of decom- posing a fuzzy ideal as an intersection of primary fuzzy ideals. Assuming the existence of such a decomposition, we prove some uniqueness ... See full document
12
Generalized derivations in prime rings
... a prime ring R which acts as homomorphisms or anti-homomorphisms on a nonzero right ideal of R then d = 0 on ...free prime ring and I be a non zero ideal of ...a prime ring with a non-zero ideal I of ... See full document
5
On Jordan ideals and left (θ,θ) derivations in prime rings
... 3. Left derivation on Jordan ideal of a prime ring. In [3], there is a more general result which implies that in a 2-torsion-free prime ring R, the existence of a nonzero Jordan left derivation on a Lie ... See full document
8
ON FUZZY COMPLETELY PRIME HYPER BI IDEALS IN HYPERNEAR –RINGS
... M. Then there exists x, y Є M and some γ Є such that (x γ y) ≥ max{(x), (y)}. Using the definition of , we get (x) = 0, (y) = 0 and (x γ y) = t. Thus we get x γ y Є H and x H and y H. This is a ... See full document
8
Jordan k Derivations on Lie Ideals of Prime Γ Rings
... In [2], Y. Ceven proved that every Jordan left derivation of a 2- torsion free completly prime Γ- ring is a Jordan left derivation. Paul and Halder [5] extended these re- sults to a Lie ideal of a Prime Γ- ... See full document
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