On the finite loop algebra F[M(Cm p x C2, 2)]

نویسندگان

چکیده

Let G = Cm p o C2 be a generalized dihedral group for an odd prime and natural number m, L M(G; 2) the RA2 loop obtained from F finite field of characteristic 2. For algebra F[L], we determine Jacobson radical J(F[L]) F[L] Wedderburn decomposition F[L]=J(F[L]). The structure 1 + is also determined.

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ژورنال

عنوان ژورنال: Quasigroups and Related Systems

سال: 2023

ISSN: ['1561-2848']

DOI: https://doi.org/10.56415/qrs.v30.28