Construction of idempotent 2-cocycles

[摘要] Let f : G x G -> L be a weak 2-cocycle, where L/K is a finite Galois field extension with Galois group G, and A(f) = (L/K, f) be the associated weak crossed product K-algebra. We associate a partition of G to Af and construct idempotent 2-cocycles of A(f). (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[关键词] Galois extension;Galois cohomology;Crossed product algebra;Weak 2-cocycle;Weak crossed product algebra;Semigroups;Ordered set