
TL;DR
This paper generalizes Cohn's Theorem within the framework of free associative -algebras on disjoint sets, expanding the theoretical understanding of Jordan algebras.
Contribution
It introduces the concept of free associative -algebras on disjoint sets and extends Cohn's Theorem to this broader context.
Findings
Established a generalized version of Cohn's Theorem for Jordan algebras.
Defined the notion of free associative -algebras on disjoint sets.
Provided theoretical proofs and framework for the generalization.
Abstract
We introduce the notion of a free associative -algebra on the union of two disjoint sets and prove a generalization of Cohn's Theorem on Jordan algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Advanced Operator Algebra Research
