Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements
Asia Rauf
TL;DR
This paper investigates how Stanley decompositions and pretty clean filtrations behave when reduced modulo a regular element, providing insights into their structural properties in algebraic settings.
Contribution
It introduces new results on the behavior of these filtrations and decompositions under regular element reduction, advancing understanding in commutative algebra.
Findings
Behavior of Stanley decompositions under reduction
Properties of pretty clean filtrations after reduction
New theoretical insights into algebraic structures
Abstract
We study the behavior of Stanley decompositions and of pretty clean filtrations under reduction modulo a regular element.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Algebraic structures and combinatorial models