Results 21 to 30 of about 1,450,468 (275)

Continuous functions with compact support

open access: yesApplied General Topology, 2004
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya   +2 more
doaj   +1 more source

Commutation Properties of Operator Polynomials [PDF]

open access: yesJournal of the Australian Mathematical Society, 1971
Suppose A and B are continuous linear operators mapping a complex Banach space X into itself. For any polynomial pC, it is obvious that when A commutes with B, then p(A) commutes with B. To see that the reverse implication is false, let A be nilpotent of order n. Then An commutes with all B but A cannot do so. Sufficient conditions for the implication:
openaire   +2 more sources

Duo modules [PDF]

open access: yes, 2006
Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodule of M is fully invariant. It is proved that if R is a commutative domain with field of fractions K then a torsion-free uniform R-module is a duo module ...
Harmancı, A.   +7 more
core   +1 more source

Generators of maximal left ideals in Banach algebras [PDF]

open access: yes, 2012
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
core   +4 more sources

On n-fold fuzzy implicative/commutative ideals of BCK-algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We consider the fuzzification of the notion of an n-fold implicative ideal, an n-fold (weak) commutative ideal. We give characterizations of an n-fold fuzzy implicative ideal. We establish an extension property for n-fold fuzzy commutative ideals.
Young Bae Jun
doaj   +1 more source

Commutator Properties for Periodic Splines

open access: yesJournal of Approximation Theory, 1999
Commutator properties are established for periodic splines with distinct uniformly spaced knots (on uniform meshes) operated on by certain pseudodifferential operators. The commutation involves the operations of multiplication by a smooth function and application of a discrete version of orthogonal projection obtained by using a quadrature rule (which ...
Sloan, I.H., Wendland, W.
openaire   +1 more source

Commutative Languages and their Composition by Consensual Methods [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
Commutative languages with the semilinear property (SLIP) can be naturally recognized by real-time NLOG-SPACE multi-counter machines. We show that unions and concatenations of such languages can be similarly recognized, relying on – and further ...
Stefano Crespi Reghizzi   +1 more
doaj   +1 more source

Spectral Properties and Stability in Vector-Valued Lipschitz Algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis
Let  $A$ be a commutative Banach algebra and $(K,d)$ be a compact metric space. In this paper, we examine various spectral properties, including the unique uniform norm property, weak regularity, Ditkin's condition and local operators, within the context
Hossein Aboubakri   +2 more
doaj   +1 more source

Semidegenerate Congruence-modular Algebras Admitting a Reticulation

open access: yesScientific Annals of Computer Science, 2023
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
doaj   +1 more source

An exotic characterization of a commutative H*-algebra

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
Commutative H*-algebra is characterized in terms of the property that the orthogonal complement of a right ideal is a left ideal.
Parfeny P. Saworotnow
doaj   +1 more source

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