Generalized groups and module groupoids

TL;DR

This paper introduces generalized groups, explores their properties, and develops the concept of generalized modules and module groupoids, expanding algebraic structures with new examples and theoretical insights.

Contribution

It presents a novel framework for generalized groups and modules, including the definition and analysis of generalized module groupoids, which broadens algebraic theory.

Findings

Examples of generalized groups provided

Properties of generalized modules discussed

Introduction of generalized module groupoids

Abstract

In this paper we discuss generalized group, provides some interesting examples. Further we introduce a generalized module as a module like structure obtained from a generalized group and discuss some of its properties and we also describes generalized module groupoids.