Academic Journal
A semigroup defining the Gröbner degeneration of a toric ideal
| Τίτλος: | A semigroup defining the Gröbner degeneration of a toric ideal |
|---|---|
| Συγγραφείς: | Casillas, Hernán de Alba, Duarte, Daniel, Antuna, Raúl Vargas |
| Πηγή: | Semigroup Forum. 106:569-588 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | Springer Science and Business Media LLC, 2023. |
| Έτος έκδοσης: | 2023 |
| Θεματικοί όροι: | Algebraic number, Monomial Ideals and Algebraic Properties, Computational Mechanics, Semigroup, Symbolic Computing in Algebraic Geometry and Cryptography, Epistemology, Commutative Algebra (math.AC), Mathematical analysis, Engineering, Betti number, FOS: Mathematics, Mathematics - Combinatorics, Isogeometric Analysis in Computational Engineering, Ideal (ethics), Algebra over a field, Algebra and Number Theory, Toric Algebra, Pure mathematics, Discrete mathematics, Mathematics - Commutative Algebra, FOS: Philosophy, ethics and religion, Philosophy, Computational Theory and Mathematics, Physical Sciences, Computer Science, Combinatorics (math.CO), Uniqueness, Mathematics |
| Περιγραφή: | We give an explicit set of generators for the semigroup of the Gröbner degeneration of a toric ideal. This set of generators is used to study algebraic properties of the semigroup it generates: approximation of semigroups, non-preservation of saturation, Betti elements, uniqueness of presentations, and Möbius functions. |
| Τύπος εγγράφου: | Article Other literature type |
| Γλώσσα: | English |
| ISSN: | 1432-2137 0037-1912 |
| DOI: | 10.1007/s00233-023-10351-4 |
| DOI: | 10.60692/8t6s1-yxb33 |
| DOI: | 10.48550/arxiv.2201.04220 |
| DOI: | 10.60692/96n3p-sbw42 |
| Σύνδεσμος πρόσβασης: | http://arxiv.org/abs/2201.04220 |
| Rights: | CC BY arXiv Non-Exclusive Distribution |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....47f4f2e49405ea38d5115508142f1a1c |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 14322137 00371912 |
|---|---|
| DOI: | 10.1007/s00233-023-10351-4 |