On factorization of elements in Pimenov algebras
Dmitriy Efimov
TL;DR
This paper investigates division and factorization of elements in Pimenov algebras, providing conditions for prime elements and examples of their factorization in algebras with fewer than five generators.
Contribution
It establishes necessary and sufficient conditions for prime elements and presents examples of element factorization in Pimenov algebras with fewer than five generators.
Findings
Necessary and sufficient conditions for prime elements
Examples of element factorization in Pimenov algebras
Analysis limited to algebras with fewer than five generators
Abstract
We consider the operation of division in Pimenov algebras. We obtain necessary and sufficient conditions for prime elements in Pimenov algebras with a number of generators less than five. We adduce examples of the factorization of elements in these algebras.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Noncommutative and Quantum Gravity Theories · Advanced Topics in Algebra