TL;DR
This paper develops a comprehensive theory of direct and central products within the framework of partial groups and localities, expanding the algebraic understanding of these structures.
Contribution
It introduces new concepts and formalizes the theory of direct and central products for partial groups and localities, which were not previously well-understood.
Findings
Formal definitions of direct and central products for localities
Extension of partial group theory to product constructions
Foundational results for further algebraic exploration
Abstract
We develop a theory of direct and central products of partial groups and localities.
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