TL;DR
This paper introduces the concept of constructible ideals, explores their properties, and relates them to constructible simplicial complexes, advancing the understanding of their algebraic and combinatorial structures.
Contribution
It defines constructible ideals and establishes their connection with constructible simplicial complexes, providing new insights into their properties.
Findings
Properties of constructible ideals are characterized.
Constructible ideals are related to simplicial complexes.
Foundational results linking algebraic and combinatorial structures.
Abstract
We introduce the concept of constructible ideal and we relate this concept with the notion of constructible simplicial complex. Several properties of constructible ideals are studied.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Digital Image Processing Techniques · Topological and Geometric Data Analysis