Invariants of some classes of monomial ideals

2011/09/12 by Oana Olteanu, Olteanu, Oana
Mathematics · #13A15 #13F55 #13H10 #55U10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1109.2463

openalex publication_date 2011/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this thesis we are interested in describing some homological invariants of certain classes of monomial ideals. We will pay attention to the squarefree and non-squarefree lexsegment ideals.

Citations

• Monomial ideals whose powers have a linear resolution
• The Stanley-Reisner ideals of polygons as set-theoretic complete intersections
• Castelnuovo-Mumford regularity of products of ideals
• Lexsegment ideals are sequentially Cohen-Macaulay

Related

• Classes of Monomial Ideals
• Classes of sequentially Cohen-Macaulay squarefree monomial ideals
• Powers of lexsegment ideals with linear resolution
• On Certain Monomial Sequences
• Properties of lexsegment ideals