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Generalized pascal triangles: overview of new results

100%

Korec I.

Banach Center Publications

1993

tom 28

nr 1

125-134

Definability within structures related to Pascal’s triangle modulo an integer

63%

Bès A., Korec I.

Fundamenta Mathematicae

1998

tom 156

nr 2

111-129

Let Sq denote the set of squares, and let $SQ_n$ be the squaring function restricted to powers of n; let ⊥ denote the coprimeness relation. Let $B_n(x,y)=({x+y \atop x}) MOD n$. For every integer n ≥ 2 addition and multiplication are definable in the structures ⟨ℕ; B_n,⊥⟩ and ⟨ℕ; B_n,Sq⟩; thus their elementary theories are undecidable. On the other hand, for every prime p the elementary theory of ⟨ℕ; B_p,SQ_p⟩ is decidable.

On a generalization of Mycielski's and Znám's conjectures about coset decomposition of Abelian groups

63%

Korec I.

Fundamenta Mathematicae

1974

tom 85

nr 1

41-48

Irreducible disjoint covering systems

26%

Korec I.

Acta Arithmetica

1984-1985

tom 44

nr 4

389-395

Ograniczanie wyników

2 Fundamenta Mathematicae

1 Acta Arithmetica

1 Banach Center Publications

4 Korec I.

1 Bès A.

1 1998

1 1993

1 1984

1 1974

Wyniki wyszukiwania

Generalized pascal triangles: overview of new results

Definability within structures related to Pascal’s triangle modulo an integer

On a generalization of Mycielski's and Znám's conjectures about coset decomposition of Abelian groups

Irreducible disjoint covering systems