Generalization of Some Results for Exactly Covering Systems

Štefan Porubský

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On m times covering systems of congruences

Štefan Porubský (1976)

Acta Arithmetica

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Old and new necessary and sufficient conditions on $(a_{i}, m_{i})$ in order that $n \equiv a_{i} (mod m_{i})$ be a covering system

Štefan Porubský, Johanan Schönheim (2003)

Mathematica Slovaca

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A Fibonacci-like sequence of composite numbers.

Nicol, John W. (1999)

The Electronic Journal of Combinatorics [electronic only]

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A new necessary condition for moduli of non-natural irreducible disjoint covering system.

Polách, I. (1994)

Acta Mathematica Universitatis Comenianae. New Series

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How Berger, Felzenbaum and Fraenkel revolutionized Covering Systems the same way that George Boole revolutionized Logic.

Zeilberger, Doron (2001)

The Electronic Journal of Combinatorics [electronic only]

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Properties of G-atoms and full Galois covering reduction to stabilizers

Piotr Dowbor (2000)

Colloquium Mathematicae

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Given a group G of k-linear automorphisms of a locally bounded k-category R it is proved that the endomorphism algebra $E n d_{R} (B)$ of a G-atom B is a local semiprimary ring (Theorem 2.9); consequently, the injective $E n d_{R} (B)$ -module ${(E n d_{R} (B))}^{*}$ is indecomposable (Corollary 3.1) and the socle of the tensor product functor $- \otimes_{R} B^{*}$ is simple (Theorem 4.4). The problem when the Galois covering reduction to stabilizers with respect to a set U of periodic G-atoms (defined by the functors $Φ^{U} : ∐_{B \in U} m o d k G_{B} \to m o d (R / G)$ and $Ψ^{U} : m o d (R / G) \to \prod_{B \in U} m o d k G_{B}$ )is full (resp. strictly full)...

Displaying similar documents to “Generalization of Some Results for Exactly Covering Systems”

On m times covering systems of congruences

Old and new necessary and sufficient conditions on ( a i , m i ) in order that n ≡ a i ( mod m i ) be a covering system

A Fibonacci-like sequence of composite numbers.

A new necessary condition for moduli of non-natural irreducible disjoint covering system.

How Berger, Felzenbaum and Fraenkel revolutionized Covering Systems the same way that George Boole revolutionized Logic.

Properties of G-atoms and full Galois covering reduction to stabilizers

Old and new necessary and sufficient conditions on $(a_{i}, m_{i})$ in order that $n \equiv a_{i} (mod m_{i})$ be a covering system