On Schreier varieties of racks
Georgii Kadantsev, Aleksandra Shutova
TL;DR
This paper investigates the structure of Schreier varieties of racks, proving that subracks of free racks are free and proposing a method to extend this result to involutory racks.
Contribution
It establishes the freeness of subracks in free racks and introduces a new approach for involutory racks.
Findings
Subracks of free racks are free.
A proposed method for involutory racks.
Advances understanding of rack substructure.
Abstract
We prove that a subrack of a free rack is free and suggest a method to prove a similar statement about involutory racks.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation