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- Title
Symmetries on almost symmetric numerical semigroups.
- Authors
Nari, Hirokatsu
- Abstract
The notion of an almost symmetric numerical semigroup was given by V. Barucci and R. Fröberg in J. Algebra, 188, 418-442 (). We characterize almost symmetric numerical semigroups by symmetry of pseudo-Frobenius numbers. We give a criterion for H (the dual of M) to be an almost symmetric numerical semigroup. Using these results we give a formula for the multiplicity of an opened modular numerical semigroup. Finally, we show that if H or H is not symmetric, then the gluing of H and H is not almost symmetric.
- Subjects
MATHEMATICAL symmetry; NUMERICAL analysis; SEMIGROUPS (Algebra); NUMBER theory; MATHEMATICAL formulas; MAXIMAL ideals; GROUP theory
- Publication
Semigroup Forum, 2013, Vol 86, Issue 1, p140
- ISSN
0037-1912
- Publication type
Article
- DOI
10.1007/s00233-012-9397-z