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SM ISO690:2012 SIDANA, Swati. On the finite loop algebra F[M(Cm p x C2, 2)]. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 2(48), pp. 329-338. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.28 |
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Quasigroups and Related Systems | ||||||
Volumul 30, Numărul 2(48) / 2022 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v30.28 | ||||||
CZU: 512.554 | ||||||
Pag. 329-338 | ||||||
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Rezumat | ||||||
Let G = Cm p o C2 be a generalized dihedral group for an odd prime p and a natural number m, L = M(G; 2) be the RA2 loop obtained from G and F be a finite field of characteristic 2. For the loop algebra F[L], we determine the Jacobson radical J(F[L]) of F[L] and the Wedderburn decomposition of F[L]=J(F[L]). The structure of 1 + J(F[L]) is also determined. |
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