Involve: A Journal of Mathematics

  • Involve
  • Volume 8, Number 4 (2015), 677-694.

When the catenary degree agrees with the tame degree in numerical semigroups of embedding dimension three

Pedro A. García-Sánchez and Caterina Viola

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Abstract

We characterize numerical semigroups of embedding dimension three having the same catenary and tame degrees.

Article information

Source
Involve, Volume 8, Number 4 (2015), 677-694.

Dates
Received: 13 July 2014
Revised: 20 August 2014
Accepted: 7 September 2014
First available in Project Euclid: 22 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.involve/1511370918

Digital Object Identifier
doi:10.2140/involve.2015.8.677

Mathematical Reviews number (MathSciNet)
MR3366018

Zentralblatt MATH identifier
1326.20061

Subjects
Primary: 20M13: Arithmetic theory of monoids
Secondary: 20M14: Commutative semigroups 13A05: Divisibility; factorizations [See also 13F15]

Keywords
numerical semigroup catenary degree tame degree

Citation

García-Sánchez, Pedro A.; Viola, Caterina. When the catenary degree agrees with the tame degree in numerical semigroups of embedding dimension three. Involve 8 (2015), no. 4, 677--694. doi:10.2140/involve.2015.8.677. https://projecteuclid.org/euclid.involve/1511370918


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References

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