Sperner type theorems for generalized divisors

Štefan Porubský

Published: 2003-01-30

Vol. 16 (2002)

Sperner type theorems for generalized divisors

Štefan Porubský

Abstract

The extensions of the well-known Sperner's result on antichains of subsets of a given finite set for divisors of a positive integers are shown to hold also for sets of regular systems of divisors of elements of arithmetical semigroups.

Keywords:

generalized integer , arithmetical semigroup , Narkiewicz's regular system of divisors , Sperner system , symmetric chain

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Porubský, Štefan. (2003). Sperner type theorems for generalized divisors. Annales Mathematicae Silesianae, 16, 27–42. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14106

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References

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Vol. 16 (2002)
Published: 2003-01-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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