Loops whose loop rings in characteristic 2 are alternative

DOI10.1080/00927879008823938zbMath0718.20034OpenAlexW1991341644MaRDI QIDQ5749476

Orin Chein, Edgar G. Goodaire

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008823938

zbMATH Keywords

nucleusassociativitycommutative Moufang looploop ringsMoufang loopscommutativityalternative loop ringnonassociative Moufang loopRA2 loopRA loopcentral semidirect productsdirect product of two groupsfinite nonabelian groupMoufang centre

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Loops, quasigroups (20N05) Products of subgroups of abstract finite groups (20D40) Alternative rings (17D05)

Related Items (14)

Units in alternative integral loop rings ⋮ Loop algebras of code loops ⋮ On units in loop algebra \(F[M(\mathrm{Dih}(C_p^2),2)\)] ⋮ Moufang loops with a unique nonidentity commutator (associator, square) ⋮ Code loops are RA2 loops ⋮ Alternative loop rings with solvable unit loops ⋮ Cayley-dickson algebras andRAloops ⋮ Residual properties of unit loops and augmentation ideals of alternative loop rings ⋮ The Radical of a Modular Alternative Loop Algebra ⋮ LOOP RINGS SATISFYING IDENTITIES OF BOL–MOUFANG TYPE ⋮ Polynomial identities of RA2 loop algebras ⋮ Alternative rings of small order ⋮ Polynomial Identities of RA and RA2 Loop Algebras ⋮ Unnamed Item

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