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A short basis for the variety of WIP PACC-loops
Authors: J. D. Phillips
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Abstract
The variety of weak inverse property, power-associative, conjugacy closed loops (WIP PACC-loops) is an ideal variety from which to investigate CC-loops. We give a surpris- ingly short basis for this variety. We also give a useful associator identity.J. D. Phillips
Department of Mathematics and Computer Science,
Wabash College,
Crawfordsville, IN
47933, U.S.A.
E-mail:
Department of Mathematics and Computer Science,
Wabash College,
Crawfordsville, IN
47933, U.S.A.
E-mail:
Fulltext
– 0.22 Mb
Contents
- Loop algebras of loops whose derived subloop is central
- Subassociative groupoids
- The construction of loops using right division and Ward quasigroups
- Geometric Means and Reflection Quasigroups
- Ranks of nets
- A short basis for the variety of WIP PACC-loops
- Duality for central piques
- Loops in Relativistic Dynamics
- Evolution algebras
