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Families of numerical semigroups and a special case of the Huneke-Wiegand conjecture.
- Source :
-
Communications in Algebra . Jun2024, p1-6. 6p. 2 Illustrations. - Publication Year :
- 2024
-
Abstract
- AbstractThe Huneke-Wiegand conjecture is a decades-long open question in commutative algebra. García-Sánchez and Leamer showed that a special case of this conjecture concerning numerical semigroup rings k[Γ] can be answered in the affirmative by locating certain arithmetic sequences within the numerical semigroup Γ. In this paper, we use their approach to prove the Huneke-Wiegand conjecture in the case where Γ is generated by a generalized arithmetic sequence and showcase how visualizations can be leveraged to find the requisite arithmetic sequences. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 178174402
- Full Text :
- https://doi.org/10.1080/00927872.2024.2362934