Prime ideal
Some Characterizations of Semi Prime Ideal in Lattices
... an ideal, in fact a semi prime ideal if and only if J is semi ...semi prime ideals J by using A J where A is a filter of ...a prime separation ...
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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 ...proper ideal A of a ring R is an almost primary ideal if for a, b ∈ R such that ...
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On Completely And Semi Completely Prime Ideal With Respect To An Element Of A Boolean 1, 2 Near-Ring
... of prime ideals of a near-ring ...(semi) prime ideals of a near-ring ...semi prime ideal with respect to an element of a near-ring[4] ...semi prime ideals near-ring with respect to an ...
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Torsion simple modules over the quantum spatial ageing algebra
... the prime, maximal and primitive ideals of the algebra ...the prime factor algebras of A are given explicitly via generators and relations (Theorem ...of prime factor algebras of ...at prime ...
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Vol 7, No 5 (2016)
... of ideal in an ASL L and prove that the set I (L) of all ideals of L forms a distributive lattice for which the set P I (L) of all principal ideals of L is a ...an ideal and hence the set I (L) is a ...
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An Application of le-semigroup Techniques to Semigroups, Γ-semigroups and to Hypersemigroups
... An ideal M of an hypersemigroup (S, ◦), for example is weakly prime if and only if for any nonempty subsets A, B of S such that A ∗ S ∗ B ⊆ M , we have A ⊆ M or B ⊆ ...weakly prime ideal of a ...
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On Krull's intersection theorem of fuzzy ideals
... of prime ideal was generalized to fuzzy prime ideals of a ring, and thus initiating the study of radicals and primary ideals in the fuzzy case by Malik and Mordeson [7, 8, 9, 10, ...
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A commutative Bezout \(PM^{\ast}\) domain is an elementary divisor ring
... As a consequence of Proposition 2 we obtain the following result. Proposition 3. A commutative domain R is a domain in which each nonzero prime ideal is contained in a unique maximal ideal of R if ...
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On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice
... of prime, minimal prime and annihilators ideals in an ...a prime ideal to be a minimal prime ideal and prime ideal to be a principal ideals in an ...all ...
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Vol 4, No 2 (2013)
... 2-potent prime ideal in a Boolean like semi ring and establish various characterization of almost primary ideals in terms of 2-potent prime ideals, radical of an ...almost prime ideal ...
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Ore Extensions over ($\sigma, \delta$)-Rings
... completely prime ideal in a ring R is any ideal such that R/P is a domain ...an ideal P of a ring R is said to be completely prime if a b ∈ P implies that a ∈ P or b ∈ P for a, b ∈ ...
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Vol 3, No 8 (2012)
... extended ideal in a Boolean like semi ring of fractions and prove that S -1 I is an ideal of S -1 R ...any ideal of S -1 R is also an ideal in the Boolean like semi ring R (see definition ...a ...
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Vol 2, No 6 (2011)
... an ideal, prime and maximal ideal of a C-algebra and discussed various properties of ...every prime ideal is maximal in a ...many prime ideals and maximal ideals and in which ...
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Glivenko Congruence on a Nearlattice Related to Semi Prime Ideals
... F . Hence by ( ii ) , there exists a prime filter Q ⊇ F such that Q ∩ A ⊥ = φ . Then b ∨ c ∉ S − Q . This implies either b ∉ S − Q or c ∉ S − Q as S − Q is a prime ideal. Hence either b ∈ Q or c ∈ Q ...
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The ideal and subideal structure of lie algebras
... with prime ideals. In the first part of it, we define the concepts of a prime ideal and the radical of an ideal in Lie algebras along the same line as ideals in an associative rings,and ...
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On the resolvent of an ideal and some applications
... arbitrary ideal with respect to a parametric set as a gener- alization of the one introduced by Ritt for a prime ideal; they have given an algorithm to compute a resolvent using the decomposition of ...
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The prime spectrum and simple modules over the quantum spatial ageing algebra
... the prime, maximal and primitive ideals of the algebra ...the prime factor algebras of A are given explicitly via generators and relations (Theorem ...of prime factor algebras of ...at prime ...
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A Graphical Characterization for SPAP-Rings
... unique prime ideal of R, thus R is a Noetherian ring if and only if R is an Artinian ring if and only if m is a finitely generated ideal of ...
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Semi-Prime Ideals of Gamma Rings
... an ideal in M, let us denote by C(P), the complement of P in M, that is, C(P) is the set of elements of M which are not elements of ...a prime ideal in terms of some property of ...
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F-regularity relative to modules
... Throughout of this paper, R will denote a commutative Noetherian ring with identity and with a positive prime characteristic p. Further N will denote the set of nonnegative integers and R ◦ will denote the subset ...
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