On Monoid Algebras Having Every Nonempty Subset of N ≥ 2 as a Length Set
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9_2025_Article_2835.pdf
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Author(s)
Geroldinger, Alfred
Gotti, Felix
Date Issued
April 12, 2025
Journal
Mediterranean Journal of Mathematics
Publisher
Springer International Publishing
Citation
Geroldinger, A., Gotti, F. On Monoid Algebras Having Every Nonempty Subset of as a Length Set. Mediterr. J. Math. 22, 69 (2025).
Version
Final published version
Abstract
We construct monoid algebras that satisfy the ascending chain condition on principal ideals and have the property that every nonempty subset of N ≥ 2 occurs as a length set.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00009-025-02835-0
