Borel ideals in three variables.

Marinari, Maria Grazia; Ramella, Luciana

Displaying similar documents to “Borel ideals in three variables.”

On the hereditary $k$ -Buchsbaum property for ideals $I$ and $in (I)$ .

Benjamin, E., Bresinsky, H. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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Correlation dimension for self-similar Cantor sets with overlaps

Károly Simon, Boris Solomyak (1998)

Fundamenta Mathematicae

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We prove a classification theorem of the “Glimm-Effros” type for Borel order relations: a Borel partial order on the reals either is Borel linearizable or includes a copy of a certain Borel partial order $\leq_{0}$ which is not Borel linearizable.

On z◦ -ideals in C(X)

F. Azarpanah, O. Karamzadeh, A. Rezai Aliabad (1999)

Fundamenta Mathematicae

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An ideal I in a commutative ring R is called a z°-ideal if I consists of zero divisors and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We characterize topological spaces X for which z-ideals and z°-ideals coincide in , or equivalently, the sum of any two ideals consisting entirely of zero divisors consists entirely of zero divisors. Basically disconnected spaces, extremally disconnected and P-spaces are characterized in terms of z°-ideals....

On relative integral bases for unramified extensions

Kevin Hutchinson (1995)

Acta Arithmetica

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0. Introduction. Since ℤ is a principal ideal domain, every finitely generated torsion-free ℤ-module has a finite ℤ-basis; in particular, any fractional ideal in a number field has an "integral basis". However, if K is an arbitrary number field the ring of integers, A, of K is a Dedekind domain but not necessarily a principal ideal domain. If L/K is a finite extension of number fields, then the fractional ideals of L are finitely generated and torsion-free (or, equivalently, finitely...

2-distance coloring of sparse planar graphs.

Borodin, O.V., Ivanova, A.O., Neustroeva, T.K. (2004)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On pseudocompact, countably compact, locally bicompact mappings, and $k$ -mappings.

Mironova, Yu.N. (2002)

Sibirskij Matematicheskij Zhurnal

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The 4-rank of $K ₂ O_{F}$ for real quadratic fields F

Hourong Qin (1995)

Acta Arithmetica

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Groups of automatic automorphisms of some automatic structures.

Vinokurov, N.S. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Strong Fubini properties of ideals

Ireneusz Recław, Piotr Zakrzewski (1999)

Fundamenta Mathematicae

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Let I and J be σ-ideals on Polish spaces X and Y, respectively. We say that the pair ⟨I,J⟩ has the Strong Fubini Property (SFP) if for every set D ⊆ X× Y with measurable sections, if all its sections $D_{x} = y : ⟨ x, y ⟩ \in D$ are in J, then the sections $D^{y} = x : ⟨ x, y ⟩ \in D$ are in I for every y outside a set from J (“measurable" means being a member of the σ-algebra of Borel sets modulo sets from the respective σ-ideal). We study the question of which pairs of σ-ideals have the Strong Fubini Property. Since CH excludes this...