Decomposition of idempotent 2-cocycles
Tom 171 / 2023
Colloquium Mathematicum 171 (2023), 167-187
MSC: Primary 16S35; Secondary 11S25.
DOI: 10.4064/cm8720-3-2022
Opublikowany online: 4 August 2022
Streszczenie
Let 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 A_f. We specialize the results in case f is the corresponding idempotent 2-cocycle f_r for some semilinear map r:G\rightarrow \Omega , where \Omega is a multiplicative monoid with minimum element.
