The torsion ideal lattice of the endomorphism ring of an abelian p-group

TL;DR

This paper classifies the lattice of ideals of the torsion ideal in the endomorphism ring of an abelian p-group using a system of cardinal invariants, providing a structural understanding of these algebraic objects.

Contribution

It introduces a classification scheme for the ideal lattice of the torsion ideal in the endomorphism ring of an abelian p-group based on cardinal invariants, advancing the structural theory.

Findings

Lattice of ideals characterized by cardinal invariants

Structural classification of the torsion ideal in endomorphism rings

Provides a framework for understanding ideal lattices in this context

Abstract

The lattice of ideals of the torsion ideal of the endomorphism ring of an abelian p-group is classified by a system of cardinal invariants.