关于有限环代数F[M(Cm p x C2, 2)]

Q3 Mathematics

Quasigroups and Related Systems Pub Date : 2023-04-01 DOI:10.56415/qrs.v30.28

Swati Sidana

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引用次数: 0

摘要

设G = Cm p o C2是奇数素数p和自然数m的广义二面体群，L = m (G;2)为由G和F得到的RA2环，为特征为2的有限域。对于循环代数F[L]，我们确定了F[L]的Jacobson根J(F[L])和F[L]的Wedderburn分解=J(F[L])。确定了1 + J(F[L])的结构。

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

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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来源期刊

Quasigroups and Related Systems Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.70

自引率

0.00%

发文量