Weak Galois extensions over \(H\)-module algebras. (Chinese. English summary) Zbl 1199.16068
Summary: We mainly study the problem of weak Galois extensions over weak module algebras. By using the methods of invariant functors and integrals, we give a sufficient and necessary condition for weak Galois extensions, which is a generalization of the corresponding result given by M. Cohen, D. Fischman and S. Montgomery [J. Algebra 133, No. 2, 351-372 (1990; Zbl 0706.16023)].