Depth and regularity modulo a principal ideal

Autor:	Manoj Kummini, Giulio Caviglia, Jürgen Herzog, Naoki Terai, Huy Tài Hà, Ngo Viet Trung
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Monomial Modulo 13C20 (Primary) 13D45 14B05 05C65 (Secondary) 0102 computer and information sciences Commutative Algebra (math.AC) 01 natural sciences Combinatorics Mathematics - Algebraic Geometry Principal ideal Chordal graph Linear form FOS: Mathematics Discrete Mathematics and Combinatorics Mathematics - Combinatorics 0101 mathematics Algebraic Geometry (math.AG) Mathematics Algebra and Number Theory Ideal (set theory) Mathematics::Commutative Algebra 010102 general mathematics Monomial ideal Mathematics - Commutative Algebra 010201 computation theory & mathematics Homogeneous Mathematik Combinatorics (math.CO)
Popis:	We study the relationship between depth and regularity of a homogeneous ideal I and those of (I,f) and I:f, where f is a linear form or a monomial. Our results has several interesting consequences on depth and regularity of edge ideals of hypegraphs and of powers of ideals. 20 pages, published version, Journal of Algebraic Combinatorics 2018
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5359d21c75274958ead2d07469fb421 https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85041191355 Zobrazit plný text záznamu