English

Affine semigroups having a unique Betti element

Commutative Algebra 2014-01-27 v2 Group Theory

Abstract

We characterize affine semigroups having one Betti element and we compute some relevant non-unique factorization invariants for these semigroups. As an example, we particularize our description to numerical semigroups.

Keywords

Cite

@article{arxiv.1203.4138,
  title  = {Affine semigroups having a unique Betti element},
  author = {Pedro A. García-Sánchez and Ignacio Ojeda and José Carlos Rosales},
  journal= {arXiv preprint arXiv:1203.4138},
  year   = {2014}
}

Comments

8 pages, 1 figure. To appear in Journal of Algebra and its Applications

R2 v1 2026-06-21T20:36:17.916Z