Finite subloops of units in an alternative loop ring

DOI10.1090/S0002-9939-96-03582-4zbMath0860.17054MaRDI QIDQ4875550

Edgar G. Goodaire, Francisco César Polcino Milies

Publication date: 26 November 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

normalized unitsalternative loop ringsintegral loop ringRA loopfinite subloop

Mathematics Subject Classification ID

Group rings (16S34) Loops, quasigroups (20N05) Alternative rings (17D05)

Related Items (7)

ALGEBRAIC ELEMENTS IN ALTERNATIVE LOOP ALGEBRAS ⋮ Alternative loop rings with solvable unit loops ⋮ Finite generation of units in alternative loop rings ⋮ POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS ⋮ Integral Loop Rings of Loops Whose Derived Subloop Is Central ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ Unnamed Item

Cites Work

• Composition algebras and their automorphisms
• Isomorphisms of integral alternative loop rings
• Units in alternative loop rings
• Semi-simplicity of alternative loop rings
• Loops whose loop rings are alternative
• Torsion Units in Alternative Loop Rings
• Some Results in the Theory of Linear Non-Associative Algebras
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