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Weakly Half-factorial Sets in Finite Abelian Groups by Maciej Radziejewski; Wolfgang A Schmid is a Mathematics article available to read on EtoBox.

What is Weakly Half-factorial Sets in Finite Abelian Groups about?

We investigate weakly half-factorial sets in finite abelian groups, a concept introduced by J. S ́liwa to study half-factorial sets. We fully characterize weakly half-factorial sets in a given group, and determine the maximum cardinality of such a set. This leads to several new results on half-factorial sets; in particular we solve a problem of W. Narkiewicz in some special cases. We also study the arithmetical consequences of weakly-half-factoriality in terms of factorization lengths in block monoids.

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Author

Maciej Radziejewski; Wolfgang A Schmid

Publisher

Walter de Gruyter GmbH

Published

2007

Language

EN

Field

Mathematics (Physical Sciences)