This is a preview of subscription content, log in via an institution to check access.
References
Auslander, M., Goldman, O.: The Brauer group of a commutative ring. Trans. Amer. Math. Soc.97, 367–409 (1960)
Bourbaki, N.: Algèbre, Chapitre II, 3e éd. Paris: Hermann 1962
Chase, S.U., Harrison, D.K., Rosenberg, A.: Galois theory and Galois cohomology of commutative rings. Mem. Amer. Math. Soc.52, 15–33 (1965)
Chase, S.U., Sweedler, M.E.: Hopf algebras and Galois theory. Springer Lecture Notes in Mathematics97, Berlin-Heidelberg-New York: Springer 1969
Childs, L.N., Garfinkel, G., Orzech, M.: The Brauer group of graded Azumaya algebras. Trans. Amer. Math. Soc.175, 299–326 (1973)
Cline, E.: Stable Clifford Theory. J. Algebra22, 350–364 (1972)
Dade, E.C.: Compounding Clifford's Theory. Ann. of Math. (2)91, 236–290 (1970)
Dade, E.C.: Isomorphisms of Clifford Extensions. Ann. of Math. (2)92, 375–433 (1970)
Dade, E.C.: Block Extensions. Illinois J. Math.17, 198–272 (1973)
Dade, E.C.: Group-Graded Rings and Modules. Math. Z.174, 241–262 (1980)
DcMeyer, F.R.: Some notes on the general Galois theory of rings. Osaka J. Math.2, 117–127 (1965)
Feit, W.: Some Properties of the Green Correspondence. In: Theory of finite groups. A Symposium. (R. Brauer and C.-H. Sah, editors) (Cambridge, Mass. 1968), pp. 139–148. New York-Amsterdam: Benjamin 1969
Green, J.A.: On the indecomposable representations of a finite group. Math. Z.70, 430–445 (1959)
Green, J.A.: A Transfer Theorem for Modular Representations. J. of Algebra1, 73–84 (1964)
Green, J.A.: Some Remarks on Defect Groups. Math. Z.107, 133–150 (1968)
Green, J.A.: Axiomatic representation theory for finite groups. J. Pure Appl. Algebra1, 41–77 (1971)
Green, J.A.: Relative Module Categories for Finite Groups. J. Pure Appl. Algebra2, 371–393 (1972)
Kanzaki, T.: On Galois algebra over a commutative ring. Osaka J. Math.2, 309–317 (1965)
Kanzaki, T.: On generalized crossed product and Brauer group. Osaka J. Math.5, 175–188 (1968)
Miyashita, Y.: On Galois extensions and crossed products. J. Fac. Sci. Hokkaido Univ. Ser. I21, 97–121 (1970)
Puig, L.: Sur un théorème de Green. Math. Z.166, 177–129 (1979)
Puig, L.: Pointed Groups and Construction of Characters. Math. Z.176, 265–292 (1981)
Ulbrich, K.-H.: Vollgraduierte Algebren. Dissertation Hamburg 1978
Ulbrich, K.-H.: Vollgraduierte Algebren. Abh. Math. Sem. Univ. Hamburg51, 136–148 (1981)
Ulbrich, K.-H.: Galoiserweiterungen von nicht-kommutativen Ringen. Comm. Algebra10, 655–672 (1982)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dade, E.C. The equivalence of various generalizations of group rings and modules. Math Z 181, 335–344 (1982). https://doi.org/10.1007/BF01161981
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01161981