Generalization of isomorphism theorems groups to Partial groups

TL;DR

This paper introduces the concept of partial groups, a generalization of groups focusing on partial stability under composition, and extends the three classical isomorphism theorems to this new structure.

Contribution

It defines partial groups and generalizes the three fundamental isomorphism theorems from group theory to this broader context.

Findings

Partial groups are formally defined as a new algebraic structure.

The three isomorphism theorems are successfully extended to partial groups.

This work broadens the applicability of classical group theory results.

Abstract

In this paper, we define a new structure analogous to group, called partial group. This structure concerns the partial stability by the composition inner law. We generalize the three isomorphism theorems for groups to partial groups.