
TL;DR
This thesis explores specific classes of monomial ideals, such as lexsegment ideals and those with linear quotients, to deepen understanding of their algebraic properties and structures.
Contribution
It introduces and analyzes particular classes of monomial ideals, providing new insights into their characteristics and behaviors.
Findings
Characterization of lexsegment ideals
Properties of monomial ideals with linear quotients
Implications for algebraic and combinatorial structures
Abstract
In this thesis, we focus on the study of some classes of monomial ideals, namely lexsegment ideals and monomial ideals with linear quotients.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory
