Maximal ideal
On the maximal ideal space of extended polynomial and rational uniform algebras
... In 2007, T. G. Honary and S. Moradi determined the maximal ideal space of the certain subal- gebras of A(X, K) [2]. Next, they studied the uniform approximation by polynomials, rationals and analytic ...
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Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces
... some formulae from combinatorial analysis, we find the maximal ideal space of certain subalgebras of Lipschitz algebras of infinitely differentiable functions.. Keywords: Infinitely diff[r] ...
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Blaschke inductive limits of uniform algebras
... a maximal and Dirichlet uniform ...the maximal ideal space and the set of one-point Gleason parts of a Blaschke inductive limit algebra differ dras- tically from the ones of a big G-disc ...
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Vol 2, No 6 (2011)
... an ideal, prime and maximal ideal of a C-algebra and discussed various properties of ...prime ideal is maximal in a ...and maximal ideals and in which every prime ideal is ...
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Multiplicity bounds in prime characteristic
... Notice that for any maximal ideal p ⊂ A, the fiber κ(p) = A/p is a finite field. Given any property P of rings of prime characteristic, we say that R as in the definition above as dense P type if there ...
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A class of principal ideal rings arising from the converse of the Chinese remainder theorem
... unique maximal ideal of a special principal ideal ring R of exponent e, then the only ideals of R are the ideals M i , for i = 0, ...proper ideal of R (whence (2) is satisfied ...
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Maximal ideals in the algebra of operators on certain Banach spaces
... Proof . Each maximal ideal in B (G) contains S (G) by Proposition 6.6, so the first clause and the bijective correspondence between the sets in (a) and (b) follow from Corollary 8.3. The bijective ...
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A note on maximal non-prime ideals
... prime ideal of R. Since nil(R) ⊆ P for any prime ideal of R, it follows that nil(R) is a minimal prime ideal of ...primary ideal of R, it follows from [1, Proposition ...a maximal ...
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A commutative Bezout \(PM^{\ast}\) domain is an elementary divisor ring
... which is not adequate but which does have the property that each nonzero prime ideal is contained in a unique maximal ideal. In this paper we show that a commutative Bezout domain in which each ...
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S-Linear Almost Distributive Lattices
... (2) ⇒ (3) : Assume (2). Since (2) and (2 ′ ) are equivalent, R is a linear ADL. Let P be a minimal prime ideal of R and x ∈ P . Then there exists y ∈ R \ P such that x ∧ y = 0. By (2), there exists a ∈ B and a ...
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Some Notes on Semiabelian Rings
... we have eR1 − e 0. Since R is idempotent reversible, 1 − eRe 0. So e is central. Now let L be any proper essential left ideal of R and f : L → N any non-zero left R-homomorphism. Then L/U ∼ N, where U kerf is a ...
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On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice
... The concept of an ideal was introduced in an ADL analogous to that in a distributive lattice [3]. If R is an ADL, then the set P I (R) of all principal ideals of R form a distributive lattice. This enables to ...
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Complemented Leibniz Algebras.
... We say that L is elementary if φ(B) = 0 for every subalgebra B of L. Let A be a vector space of finite dimension and let B be an abelian completely reducible subalgebra of gl(A). A construction of solvable elementary Lie ...
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Fuzzy filters in ordered $\Gamma$-semirings
... Hence µ is a fuzzy filter of the ordered Γ−semiring M. Definition 3.27. Let M and N be two ordered Γ−semirings and f be a function from M into N. If µ is a fuzzy ideal of N then the pre-image of µ under f is the ...
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Localisations of non prime orders
... rig h t annihilator ideal of S in R is rR(S) = (x £ R|sx = 0 for all s £ S}. A submodule K of M is said to be essen tia l in M if every non-zero submodule of M intersects non-trivially with K./A^ois said to be sim ...
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The structure of a subclass of amenable banach algebras
... We give sufficient conditions that allow contractible (resp., reflexive amenable) Banach al- gebras to be finite-dimensional and semisimple algebras. Moreover, we show that any con- tractible (resp., reflexive amenable) ...
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Non Noetherian unique factorisation rings
... The requirement that the factor rings are also domains is necessary to produce the prime factorization of elements which we obtain in Corollary 2.10. Unfortunately this property is not as nice as the commutative case. ...
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On the Fitting ideals of a multiplication module
... Theorem 7. Let M be a finitely generated multiplication R-module. If I(M ) is a primary ideal of R then M is an indecomposable R-module. Proof. Let M = N ⊕ K, for some R-submodules N and K of M . Assume that π 1 , ...
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$(\lambda, \mu)$ Fuzzy Ideals in Ordered Ternary Semigroups
... right ideal of ...left ideal of ...lateral ideal of ...sided ideal of T. It is clear that f is a fuzzy ideal of an ordered ternary semigroup T if and only if f ( xyz ) ≥ max { f ( x ) , ...
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Fatigue and recovery measured with dynamic properties versus isometric force: effects of exercise intensity
... dynamic measurements during cycling sprints. Studies have shown that there is a substantial contribution in the hip transfer power across the pelvis to the leg during maximal cycling (Driss and Vandewalle, 2013; ...
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