On 1-absorbing primary ideal of a commutative ring (Correction to Theorem 17 is added)

TL;DR

This paper introduces the concept of 1-absorbing primary ideals in commutative rings, providing new theoretical insights and correcting previous theorems related to this class of ideals.

Contribution

It defines 1-absorbing primary ideals and corrects a prior theorem, advancing the theoretical understanding of ideal structures in commutative rings.

Findings

Introduction of 1-absorbing primary ideals

Correction of Theorem 17 related to these ideals

Enhanced theoretical framework for ideal classification

Abstract

Let R be a commutative ring with identity. In this paper, we introduce the concept 1-absrbing primary ideal of R.