The Loewy series of an FCP (distributive) ring extension
Gabriel Picavet, Martine Picavet-L'Hermitte
TL;DR
This paper investigates the Loewy series related to the lattice of subalgebras in extensions of commutative rings, providing insights into their algebraic structure.
Contribution
It introduces a detailed analysis of the Loewy series for FCP (distributive) ring extensions, a novel approach in understanding their subalgebra lattice.
Findings
Characterization of the Loewy series in FCP ring extensions
Identification of structural properties of subalgebra lattices
Insights into the distributive nature of these extensions
Abstract
We examine the Loewy series associated to the lattice of subalgebras of an extension of commutative rings.
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