On the omega values of generators of embedding dimension-three numerical monoids generated by an interval

Scott Chapman; Walter Puckett; Katy Shour

doi:10.2140/involve.2014.7.657

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Home > Journals > Involve > Volume 7 > Issue 5 > Article

2014 On the omega values of generators of embedding dimension-three numerical monoids generated by an interval

Scott Chapman, Walter Puckett, Katy Shour

Involve 7(5): 657-667 (2014). DOI: 10.2140/involve.2014.7.657

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Abstract

We offer a formula to compute the omega values of the generators of the numerical monoid $S = 〈 k, k + 1, k + 2 〉$ where $k$ is a positive integer greater than 2.

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Scott Chapman. Walter Puckett. Katy Shour. "On the omega values of generators of embedding dimension-three numerical monoids generated by an interval." Involve 7 (5) 657 - 667, 2014. https://doi.org/10.2140/involve.2014.7.657

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Received: 14 May 2013; Revised: 21 November 2013; Accepted: 21 November 2013; Published: 2014

First available in Project Euclid: 20 December 2017

zbMATH: 1297.13001

MathSciNet: MR3245842

Digital Object Identifier: 10.2140/involve.2014.7.657

Subjects:

Primary: 13A05 , 13F15 , 20M14

Keywords: factorizations , numerical monoid , omega function

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Vol.7 • No. 5 • 2014

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Scott Chapman, Walter Puckett, Katy Shour "On the omega values of generators of embedding dimension-three numerical monoids generated by an interval," Involve: A Journal of Mathematics, Involve 7(5), 657-667, (2014)

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