On The Integral Closure of Radical Towers in Mixed Characteristic
Daniel Katz, Prashanth Sridhar
TL;DR
This paper investigates the Cohen-Macaulay property of radical extensions in mixed characteristic unramified regular local rings, providing insights into their structural properties.
Contribution
It introduces a detailed analysis of the integral closure of radical towers in mixed characteristic, highlighting new conditions for Cohen-Macaulayness.
Findings
Identifies conditions under which radical extensions are Cohen-Macaulay.
Provides new criteria for integral closure in mixed characteristic.
Enhances understanding of radical towers in algebraic geometry.
Abstract
We study the Cohen-Macaulay property of a particular class of radical extensions of an unramified regular local ring having mixed characteristic.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Rings, Modules, and Algebras