On units in loop algebra \(F[M(\mathrm{Dih}(C_p^2),2)]\)

DOI10.1007/s13366-017-0345-7zbMath1404.20053OpenAlexW2732930365MaRDI QIDQ1702745

Swati Sidana

Publication date: 28 February 2018

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-017-0345-7

zbMATH Keywords

loop algebraunit loopgeneral linear loopZorn's algebra

Mathematics Subject Classification ID

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

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Cites Work

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• Some classes of semisimple group (and loop) algebras over finite fields.
• A characterization of the unit loop of the integral loop ring \({\mathbb{Z}}M_{16}(Q,2)\)
• Units in finite loop algebras of RA2 loops
• Six Moufang Loops of Units
• Finite Semisimple Loop Algebras of Indecomposable RA Loops
• Loops whose loop rings in characteristic 2 are alternative

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