Characterization of distributivity in a solid
Bruno Dinis, Imme van den Berg
TL;DR
This paper characterizes when the distributive law holds in a solid algebraic structure, establishing an equivalence with a modified distributivity axiom specific to solids.
Contribution
It introduces a new characterization of distributivity in solids and links it to a modified axiom, advancing the theoretical understanding of these structures.
Findings
Distributivity validity is equivalent to a modified axiom in solids.
Provides a new criterion for distributivity in algebraic solids.
Enhances theoretical framework for algebraic structures with distributive properties.
Abstract
We give a characterization of the validity of the distributive law in a solid. There exists equivalence between the characterization and the modified axiom of distibutivity valid in a solid.
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