Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387675712> ?p ?o ?g. }
- W4387675712 endingPage "107551" @default.
- W4387675712 startingPage "107551" @default.
- W4387675712 abstract "A numerical semigroup is said to be universally free if it is free for any possible arrangement of its minimal generating set. In this work, we establish that toric ideals associated with universally free numerical semigroups can be generated by their set of circuits. Additionally, we provide a characterization of universally free numerical semigroups in terms of Gröbner bases. Specifically, a numerical semigroup is universally free if and only if all initial ideals of its corresponding toric ideal are complete intersections. Furthermore, we establish several equalities among the toric bases of a universally free numerical semigroup. We provide a complete characterization of 3-generated universally free numerical semigroups in terms of their minimal generating sets, and by proving the equality of certain toric bases. We compute exactly all the toric bases of a toric ideal defined by a 3-generated universally free numerical semigroup. Notably, we answer some questions posed by Tatakis and Thoma by demonstrating that toric ideals defined by 3-generated universally free numerical semigroups have a set of circuits and a universal Gröbner basis of size 3, while the universal Markov basis and the Graver basis can be arbitrarily large. We present partial results and propose several conjectures regarding universally free numerical semigroups with more than three generators." @default.
- W4387675712 created "2023-10-17" @default.
- W4387675712 creator A5001467912 @default.
- W4387675712 creator A5029519195 @default.
- W4387675712 creator A5038976894 @default.
- W4387675712 creator A5073661273 @default.
- W4387675712 date "2023-10-01" @default.
- W4387675712 modified "2023-10-17" @default.
- W4387675712 title "Universally free numerical semigroups" @default.
- W4387675712 cites W1570218345 @default.
- W4387675712 cites W1964975833 @default.
- W4387675712 cites W1973128036 @default.
- W4387675712 cites W1974171366 @default.
- W4387675712 cites W1992176831 @default.
- W4387675712 cites W2009909289 @default.
- W4387675712 cites W2045441877 @default.
- W4387675712 cites W2050059900 @default.
- W4387675712 cites W2056827059 @default.
- W4387675712 cites W2064960306 @default.
- W4387675712 cites W2092477090 @default.
- W4387675712 cites W2102265874 @default.
- W4387675712 cites W2119999994 @default.
- W4387675712 cites W2332901121 @default.
- W4387675712 cites W2603686224 @default.
- W4387675712 cites W2962744247 @default.
- W4387675712 cites W2963131543 @default.
- W4387675712 cites W2963131905 @default.
- W4387675712 cites W2963406453 @default.
- W4387675712 cites W2963485882 @default.
- W4387675712 cites W2963924305 @default.
- W4387675712 cites W2972410363 @default.
- W4387675712 cites W3102588629 @default.
- W4387675712 cites W3103153497 @default.
- W4387675712 cites W3121675319 @default.
- W4387675712 cites W3179763500 @default.
- W4387675712 cites W4205502224 @default.
- W4387675712 cites W4206077821 @default.
- W4387675712 cites W4237442181 @default.
- W4387675712 cites W4248651021 @default.
- W4387675712 cites W4280517254 @default.
- W4387675712 cites W4293817275 @default.
- W4387675712 doi "https://doi.org/10.1016/j.jpaa.2023.107551" @default.
- W4387675712 hasPublicationYear "2023" @default.
- W4387675712 type Work @default.
- W4387675712 citedByCount "0" @default.
- W4387675712 crossrefType "journal-article" @default.
- W4387675712 hasAuthorship W4387675712A5001467912 @default.
- W4387675712 hasAuthorship W4387675712A5029519195 @default.
- W4387675712 hasAuthorship W4387675712A5038976894 @default.
- W4387675712 hasAuthorship W4387675712A5073661273 @default.
- W4387675712 hasConcept C118615104 @default.
- W4387675712 hasConcept C12426560 @default.
- W4387675712 hasConcept C134306372 @default.
- W4387675712 hasConcept C136119220 @default.
- W4387675712 hasConcept C177264268 @default.
- W4387675712 hasConcept C17744445 @default.
- W4387675712 hasConcept C18116961 @default.
- W4387675712 hasConcept C199360897 @default.
- W4387675712 hasConcept C199539241 @default.
- W4387675712 hasConcept C202444582 @default.
- W4387675712 hasConcept C207405024 @default.
- W4387675712 hasConcept C2524010 @default.
- W4387675712 hasConcept C2776639384 @default.
- W4387675712 hasConcept C2779628518 @default.
- W4387675712 hasConcept C33923547 @default.
- W4387675712 hasConcept C41008148 @default.
- W4387675712 hasConcept C48753275 @default.
- W4387675712 hasConceptScore W4387675712C118615104 @default.
- W4387675712 hasConceptScore W4387675712C12426560 @default.
- W4387675712 hasConceptScore W4387675712C134306372 @default.
- W4387675712 hasConceptScore W4387675712C136119220 @default.
- W4387675712 hasConceptScore W4387675712C177264268 @default.
- W4387675712 hasConceptScore W4387675712C17744445 @default.
- W4387675712 hasConceptScore W4387675712C18116961 @default.
- W4387675712 hasConceptScore W4387675712C199360897 @default.
- W4387675712 hasConceptScore W4387675712C199539241 @default.
- W4387675712 hasConceptScore W4387675712C202444582 @default.
- W4387675712 hasConceptScore W4387675712C207405024 @default.
- W4387675712 hasConceptScore W4387675712C2524010 @default.
- W4387675712 hasConceptScore W4387675712C2776639384 @default.
- W4387675712 hasConceptScore W4387675712C2779628518 @default.
- W4387675712 hasConceptScore W4387675712C33923547 @default.
- W4387675712 hasConceptScore W4387675712C41008148 @default.
- W4387675712 hasConceptScore W4387675712C48753275 @default.
- W4387675712 hasLocation W43876757121 @default.
- W4387675712 hasOpenAccess W4387675712 @default.
- W4387675712 hasPrimaryLocation W43876757121 @default.
- W4387675712 hasRelatedWork W2083761219 @default.
- W4387675712 hasRelatedWork W2153946164 @default.
- W4387675712 hasRelatedWork W2154197819 @default.
- W4387675712 hasRelatedWork W2522074991 @default.
- W4387675712 hasRelatedWork W2920530075 @default.
- W4387675712 hasRelatedWork W2953366618 @default.
- W4387675712 hasRelatedWork W2963027990 @default.
- W4387675712 hasRelatedWork W3041033841 @default.
- W4387675712 hasRelatedWork W4289919814 @default.
- W4387675712 hasRelatedWork W4322760346 @default.
- W4387675712 isParatext "false" @default.