Stratifying ideals and twisted products
Ana Paula Santana, Ivan Yudin
TL;DR
This paper investigates stratifying ideals within rings using relative homological algebra and LU-decompositions, providing conditions for when an idempotent ideal qualifies as a stratifying ideal.
Contribution
It introduces a new sufficient condition for an idempotent ideal to be (relative) stratifying, utilizing LU-decompositions as a special case of twisted products.
Findings
Established a link between LU-decompositions and stratifying ideals.
Provided a criterion for identifying (relative) stratifying ideals.
Enhanced understanding of the structure of stratifying ideals in ring theory.
Abstract
We study stratifying ideals for rings in the context of relative homological algebra. Using LU-decompositions, which are a special type of twisted products, we give a sufficient condition for an idempotent ideal to be (relative) stratifying.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Algebraic structures and combinatorial models