Alternative loop rings with solvable unit loops

DOI10.1006/jabr.2000.8662zbMath0983.20066OpenAlexW1997034962MaRDI QIDQ5938598

Francisco César Polcino Milies, Edgar G. Goodaire

Publication date: 3 September 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8662

zbMATH Keywords

unitssolvabilityalternative ringsloop ringsMoufang loopsRA loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Units, groups of units (associative rings and algebras) (16U60) Alternative rings (17D05)

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• Units in alternative loop rings
• Nilpotent elements in group rings
• Nilpotent Moufang unit loops
• The torsion product property in alternative algebras
• On loops of odd order. II
• A Class of Simple Moufang Loops
• Group rings with solvable unit groups
• Loops whose loop rings are alternative
• Free Subgroups in the Unit Groups of Integral Group Rings
• Observations on group rings
• Loop algebras of indecomposable r.a.loops^∗
• Finite conjugacy in alternative loop algebras
• Finite subloops of units in an alternative loop ring
• On the Solvability of Unit Groups of Group Algebras
• Loops whose loop rings in characteristic 2 are alternative
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Hamiltonian Loops

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