Sperner type theorems for generalized divisors
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
References
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Institute of Computer Science, Academy of Sciences of the Czech Republic Czechia
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