C-LOOPS: EXTENSIONS AND CONSTRUCTIONS

DOI10.1142/S0219498807001990zbMath1129.20043arXivmath/0412390OpenAlexW2074508856WikidataQ56091329 ScholiaQ56091329MaRDI QIDQ3435270

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Publication date: 25 April 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412390

zbMATH Keywords

central extensionsC-loopsSteiner loopsloop extensionsnuclear extensions

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Nonassociative algebras satisfying other identities (17A30)

Related Items

Right Nuclei of Quasigroup Extensions ⋮ Nuclear Identification of Some New Loop Identities of Length Five ⋮ Generalized right central loops. ⋮ Oriented Steiner loops. ⋮ Pure projective modules over exceptional uniserial noncoherent rings. ⋮ Variety of loops generated by code loops ⋮ Half-Automorphisms of Cayley–Dickson Loops ⋮ Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction ⋮ Schreier loops ⋮ Nuclear properties of loop extensions

Cites Work

• A left loop on the 15-sphere
• Diassociativity in Conjugacy Closed Loops
• Varieties Of Steiner Loops and Steiner Quasigroups
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