论文标题

双能2环的分解

Decomposition of idempotent 2-cocycles

论文作者

Lamprakis, Christos, Theohari-Apostolidi, Theodora

论文摘要

令L为GALOIS组G。我们使用相应弱的交叉产物代数A的有限序列分解了k的有限galois延伸。我们将结果专业化为F是从G到具有最小元素的乘法单型的某些半线性图的相应diDempotent 2 cocycle。

Let L be a finite Galois 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 A:= (L/k, G, f). We specialise the results in case f is the corresponding idempotent 2-cocycle for some semilinear map from G to a multiplicative monoid with minimum element.

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