Cubic rings and their ideals
Yuriy A. Drozd, Ruslan V. Skuratovskii
TL;DR
This paper provides an explicit description of cubic rings over a discrete valuation ring and characterizes all their ideals, offering detailed structural insights.
Contribution
It introduces a novel explicit classification of cubic rings and their ideals over discrete valuation rings.
Findings
Explicit descriptions of cubic rings
Complete classification of ideals within these rings
Structural insights into cubic ring properties
Abstract
We give an explicit description of cubic rings over a discrete valuation ring, as well as a description of all ideals of such rings.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications