Classifying Nearly Complete Intersection Ideals Generated in Degree Two

Autor:	Miller, Charlie, Stone, Branden
Rok vydání:	2021
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	Nearly complete intersection ideals were introduced by A. Boocher and J. Seiner (2018) and defines a special class of monomial ideals in a polynomial ring. These ideals were used to give a lower bound of the total sum of betti numbers that appear a minimal free resolution of a monomial ideal. In this note we give a graph theoretic classification of nearly complete intersection ideals generated in degree two. In doing so, we define a novel graph operation (the inversion) that is motivated by the definition of this new class of ideals. Comment: Results of undergraduate summer research at Hamilton College, 2019. 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.07901 Zobrazit plný text záznamu View this record from Arxiv