Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: closed ideals

Sortuj według:

Ogranicz wyniki do:

Ditkin's condition and ideals with at most countable hull in algebras of functions analytic in the unit disc

Sołtysiak A., Wawrzyńczyk A.

Commentationes Mathematicae

2012

Vol. 52, [Z] 1

101-112

Atoms and ideals of pseudo-BCI-algebras

Dymek G.

Commentationes Mathematicae

2012

Vol. 52, [Z] 1

73-90

The main subject of the paper are atoms and ideals of a pseudo-BCI-algebra. Many different characterizations of them are given. Some connections between ideals and subalgebras are presented. Conditions for the set At(X) of atoms of a pseudo-BCI-algebra X to be an ideal of X are established.

Division of distributions by locally definable quasianalytic functions

Nowak K. J.

Bulletin of the Polish Academy of Sciences. Mathematics

2010

Vol. 58, no 3

201-208

We demonstrate that the Łojasiewicz theorem on the division of distributions by analytic functions carries over to the case of division by quasianalytic functions locally definable in an arbitrary polynomially bounded, o-minimal structure which admits smooth cell decomposition. Hence, in particular, the principal ideal generated by a locally definable quasianalytic function is closed in the Frechet space of smooth functions.

A spectral synthesis property for C_b (X, β)

Arizmendi-Peimbert H., Carrillo-Hoyo A., Garcia A.

Commentationes Mathematicae

2008

Vol. 48, [Z] 2

121-127

Let (Cb (X) , ) be the algebra of all continuous bounded real or complex valued functions defined on a completely regular Hausdorff space X with the usual algebraic operations and with the strict topology . It is proved that (Cb (X) , β) has a spectral synthesis, i.e. every of its closed ideals is an intersection of closed maximal ideals of codimension 1. We give one necessary and two sufficient conditions over X in order that (Cb (X) , β) has no proper non-zero closed principal ideals. Moreover if X satisfy any of these two conditions and is also a k-space, then any non zero element of Cb (X) is invertible or a topological divisor of zero.