The nilpotence degree of torsion elements in lambda-rings

TL;DR

This paper provides a precise estimate for how many times a torsion element in a lambda-ring must be multiplied by itself to become zero, refining understanding of their nilpotence properties.

Contribution

It establishes a sharp bound on the nilpotence degree of torsion elements in lambda-rings, advancing theoretical knowledge in algebraic structures.

Findings

Derived a sharp estimate for nilpotence degree

Enhanced understanding of torsion elements in lambda-rings

Provided theoretical bounds for algebraic nilpotence

Abstract

It is known that any torsion element in a lambda-ring is nilpotent. In this note we deduce a sharp estimate for the nilpotence degree of such an element.