Power-associative, conjugacy closed loops.

DOI10.1016/j.jalgebra.2006.01.034zbMath1109.20057arXivmath/0507278OpenAlexW1603036561MaRDI QIDQ855331

Kenneth Kunen, Michael K. Kinyon

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507278

zbMATH Keywords

Abelian groupsnucleiconjugacy closed loopsextra loopsCC-loopsextra elementsMoufang elementspower-associative loopsweak inverse property elements

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (12)

Holomorphy of Osborn loops ⋮ On a class of power associative LCC-loops ⋮ On Nuclearly Nilpotent Loops of Finite Exponent ⋮ Ken Kunen: algebraist. ⋮ On three cryptographic identities in left universal Osborn loops ⋮ Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction ⋮ Code loops in both parities ⋮ On loops rich in automorphisms that are abelian modulo the nucleus ⋮ THE MOUFANG LAWS, GLOBAL AND LOCAL ⋮ Buchsteiner loops: Associators and constructions ⋮ On Two Cryptographic Identities In Universal Osborn Loops ⋮ Buchsteiner Loops and Conjugacy Closedness

Uses Software

• OTTER
• Mace4

Cites Work

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• On extraspecial left conjugacy closed loops.
• Conjugacy closed loops and their multiplication groups.
• Diassociativity in Conjugacy Closed Loops
• Some Special Conjugacy Closed Loops
• A Class of Loops Which are Isomorphic to all Loop Isotopes
• Loops as Invariant Sections in Groups, and their Geometry
• Moufang Loops of Small Order. I
• The structure of conjugacy closed loops
• Structural interactions of conjugacy closed loops

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