# Periodic and q-potent elements in rings

## TL;DR

This paper explores properties of rings involving q-potent and periodic elements, providing results on rings where elements decompose into commuting sums of idempotents and q-potent elements, and examining periodic rings and k-potent elements.

## Contribution

It introduces new results on rings with elements decomposable into commuting sums of idempotents and q-potent elements, and studies periodic rings and k-potent elements.

## Key findings

- Rings where every element is a sum of commuting idempotent and q-potent elements
- Properties of periodic rings and k-potent elements in algebras
- Characterizations of rings with specific element decompositions

## Abstract

This paper, we consider some properties of rings via q-potent and periodic elements. In this paper we give some results of rings in which every element is a sum of an idempotent and a q-potent that commute; periodic rings and k-potent elements of algebras.

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Source: https://tomesphere.com/paper/1702.05948