On the weak krull symmetry of a noetherian ring

TL;DR

This paper introduces the concept of weak Krull symmetry in noetherian rings, establishing that Krull homogeneity implies weak Krull symmetry, thereby extending previous results in ring theory.

Contribution

It defines weak Krull symmetry for noetherian rings and proves that Krull homogeneity implies this property, modifying earlier main results.

Findings

Krull homogenous rings are weakly Krull symmetric

Introduction of new key terms of independent interest

Extension of previous results in ring theory

Abstract

We define when a noetherian ring R is called a right ( or a left) weakly krull symmetric ring . We then prove that if R is a right ( or a left ) krull homogenous ring then R is a right ( or a left ) weakly krull symmetric ring . This result modifies the main result of [2] . The key terms introduced in this paper are of independent interest .