Invariants of some classes of monomial ideals
Oana Olteanu
TL;DR
This thesis investigates homological invariants of specific monomial ideals, focusing on squarefree and non-squarefree lexsegment ideals, to deepen understanding of their algebraic properties.
Contribution
It provides new descriptions and insights into the homological invariants of these classes of monomial ideals, expanding current algebraic knowledge.
Findings
Characterization of invariants for squarefree lexsegment ideals
Analysis of invariants for non-squarefree lexsegment ideals
Enhanced understanding of algebraic properties of these ideals
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.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory