# Some generalizations of strongly prime ideals

## TL;DR

This paper introduces new classes of ideals called strongly 2-absorbing primary and strongly 2-absorbing ideals, extending the concept of strongly prime ideals, and explores their fundamental properties.

## Contribution

It presents the definitions and basic properties of these new classes of ideals, broadening the understanding of ideal generalizations in algebra.

## Key findings

- Defined strongly 2-absorbing primary ideals and strongly 2-absorbing ideals.
- Established fundamental properties of these classes.
- Extended the concept of strongly prime ideals.

## Abstract

In this paper, we introduce the concepts of strongly 2-absorbing primary ideals (resp., submodules) and strongly 2-absorbing ideals (resp., submodules) as generalizations of strongly prime ideals. Furthermore, we investigate some basic properties of these classes of ideals.