On minimal extensions of rings and applications
Francisco Franco Munoz
TL;DR
This paper investigates the fundamental properties of minimal extensions of local rings, explores their behavior under restrictions to subrings, and demonstrates applications to subrings of truncated polynomial rings.
Contribution
It introduces new insights into minimal extensions of local rings and their restrictions, with applications to polynomial subrings.
Findings
Characterization of minimal extensions of local rings
Properties of restrictions to subrings
Applications to truncated polynomial rings
Abstract
We derive basic properties of minimal extensions of local rings and their restrictions to subrings. Some applications are included to subrings of truncated polynomial rings.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Advanced Topics in Algebra