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Numerical
semigroups from open intervals
Vadim Ponomarenko and Ryan Rosenbaum
Vol. 3 (2010), No. 3, 333–340
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Abstract |
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We consider numerical semigroups , for intervals . We compute the Frobenius number and multiplicity of such semigroups, and show that we may freely restrict to be open, closed, or half-open, as we prefer. |
Keywords
numerical semigroup, modular numerical semigroup
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Mathematical Subject Classification 2000
Primary: 20M10, 20M14
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Milestones
Received: 30 June 2010
Revised: 29 September 2010
Accepted: 29 September 2010
Published: 16 October 2010
Proposed: Scott Chapman
Communicated by Scott Chapman
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Authors |
| Vadim Ponomarenko | |
| Department of Mathematics and
Statistics San Diego State University 5500 Campanile Dr. San Diego, CA 92182-7720 United States |
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| http://www-rohan.sdsu.edu/~vadim/ | |
| Ryan Rosenbaum | |
| San Diego State University San Diego, CA 92182-7720 United States |
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