# Nil extensions of Clifford ordered semigroup

## TL;DR

This paper characterizes all ordered semigroups that are nil extensions of various classes such as Clifford, left Clifford, group-like, and left group-like semigroups, providing a comprehensive classification.

## Contribution

It provides a complete description of ordered semigroups that are nil extensions of specific well-known classes, expanding the understanding of their structure.

## Key findings

- Characterization of nil extensions of Clifford ordered semigroups
- Description of nil extensions of left Clifford ordered semigroups
- Classification of nil extensions of group-like and left group-like ordered semigroups

## Abstract

In this paper we describe all those ordered semigroups which are the nil extension of Clifford, left Clifford, group like, left group like ordered semigroups.