On strongly $(P)$-cyclic acts

Akbar Golchin; Parisa Rezaei; Hossein Mohammadzadeh

Displaying similar documents to “On strongly $(P)$ -cyclic acts”

$2 k n - (\binom{2 k + 1}{2})$ . A note on extremal combinatorics of cyclic split systems.

Dress, A., Klucznik, M., Koolen, J., Moulton, V. (2001)

Séminaire Lotharingien de Combinatoire [electronic only]

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The cyclotomic identity and the cyclic group.

Dress, Andreas, Siebeneicher, Christian (1986)

Séminaire Lotharingien de Combinatoire [electronic only]

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The unit group of $F S_{3}$ .

Sharma, R.K., Srivastava, J.B., Khan, Manju (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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A note on Tsirelson type ideals

Boban Veličković (1999)

Fundamenta Mathematicae

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Using Tsirelson’s well-known example of a Banach space which does not contain a copy of $c_{0}$ or $l_{p}$ , for p ≥ 1, we construct a simple Borel ideal $I_{T}$ such that the Borel cardinalities of the quotient spaces $P (ℕ) / I_{T}$ and $P (ℕ) / I_{0}$ are incomparable, where $I_{0}$ is the summable ideal of all sets A ⊆ ℕ such that $\sum_{n \in A} 1 / (n + 1) < \infty$ . This disproves a “trichotomy” conjecture for Borel ideals proposed by Kechris and Mazur.

Symmetric powers of cyclic sets and product decompositions of generating functions. (Symmetrische Potenzen zyklischer Mengen und Produktzerlegungen von erzeugenden Funktionen.)

Siebeneicher, Christian (1987)

Séminaire Lotharingien de Combinatoire [electronic only]

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On superfluous subsemimodules.

Nguyen Xuan Tuyen, Ho Xuan Thang (2003)

Georgian Mathematical Journal

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The catenary degree of Krull monoids I

Alfred Geroldinger, David J. Grynkiewicz, Wolfgang A. Schmid (2011)

Journal de Théorie des Nombres de Bordeaux

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Let $H$ be a Krull monoid with finite class group $G$ such that every class contains a prime divisor (for example, a ring of integers in an algebraic number field or a holomorphy ring in an algebraic function field). The catenary degree $c (H)$ of $H$ is the smallest integer $N$ with the following property: for each $a \in H$ and each two factorizations $z, z^{'}$ of $a$ , there exist factorizations $z = z_{0}, ..., z_{k} = z^{'}$ of $a$ such that, for each $i \in [1, k]$ , $z_{i}$ arises from $z_{i - 1}$ by replacing at most $N$ atoms from $z_{i - 1}$ by at most $N$ new atoms. Under a very...

Strongly meager sets and subsets of the plane

Janusz Pawlikowski (1998)

Fundamenta Mathematicae

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Let $X \subseteq 2^{w}$ . Consider the class of all Borel $F \subseteq X \times 2^{w}$ with null vertical sections $F_{x}$ , x ∈ X. We show that if for all such F and all null Z ⊆ X, $\cup_{x \in Z} F_{x}$ is null, then for all such F, $\cup_{x \in X} F_{x} \neq 2^{w}$ . The theorem generalizes the fact that every Sierpiński set is strongly meager and was announced in [P].

Primary decomposition of modules over Dedekind domains using Gröbner bases.

Lezama, Oswaldo, Suárez, Héctor (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [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...

Hajós' theorem and the partition lemma.

Szabó, Sándor (2005)

Beiträge zur Algebra und Geometrie

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Characterization of knot complements in the n-sphere

Vo-Thanh Liem, Gerard Venema (1995)

Fundamenta Mathematicae

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Knot complements in the n-sphere are characterized. A connected open subset W of $S^{n}$ is homeomorphic with the complement of a locally flat (n-2)-sphere in $S^{n}$ , n ≥ 4, if and only if the first homology group of W is infinite cyclic, W has one end, and the homotopy groups of the end of W are isomorphic to those of $S^{1}$ in dimensions less than n/2. This result generalizes earlier theorems of Daverman, Liem, and Liem and Venema.

Displaying similar documents to “On strongly ( P ) -cyclic acts”

Displaying similar documents to “On strongly $(P)$ -cyclic acts”