幂等2-环的分解

Pub Date : 2022-03-01 DOI:10.4064/cm8720-3-2022

C. Lamprakis, Th. Theohari-Apostolidi

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引用次数: 0

摘要

设L是具有Galois群G的K的有限Galois域扩张。我们使用相应的弱叉积代数Af的下降双边理想的有限序列分解任何幂等2-环f。我们专门讨论了f是某个半线性映射r∶G的相应幂等2-环fr的情况下的结果→ Ω，其中Ω是具有最小元素的乘法半群。

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Decomposition of idempotent 2-cocycles

Let L be a finite Galois field extension of K with Galois group G. We decompose any idempotent 2-cocycle f using finite sequences of descending two-sided ideals of the corresponding weak crossed product algebra Af . We specialize the results in case f is the corresponding idempotent 2-cocycle fr for some semilinear map r ∶ G → Ω, where Ω is a multiplicative monoid with minimum element.

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