Integral Loop Rings of Loops Whose Derived Subloop Is Central

DOI10.1080/00927870600778589zbMath1107.20060OpenAlexW2155270566MaRDI QIDQ5491369

Luiz G. X. de Barros

Publication date: 11 October 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600778589

zbMATH Keywords

isomorphism problemfinite loopsintegral loop ringsintegral loop algebrascentral subloops

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Loops, quasigroups (20N05) Alternative rings (17D05) Nonassociative algebras satisfying other identities (17A30)

Cites Work

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• Moufang loops with a unique nonidentity commutator (associator, square)
• Code loops are RA2 loops
• Isomorphisms of integral alternative loop rings
• Units in integral loop rings
• Loops whose loop rings are alternative
• A class of loops with right alternative loop rings
• Finite subloops of units in an alternative loop ring