E. Dade, The equivalence of various generalizations of group rings and modules, Math. Z., 181 (1982), 335-344.  Home/Search   Document Not in Database   Summary   Related Articles

....composite functor ( Delta Omega R)H : Mod(R[H] Mod(R[H] 96 EVERETT C. DADE 4. Fully graded rings. By a fully G graded ring R we mean a G graded ring R in which the inclusion (3.1b) is equality R oe R = R oe (4.1) for any oe; 2 G. Such rings are also called strongly G graded (see [D]) Notice that the product R oe R in (4:1) like all our products of additive subgroups of R, is the additive subgroup of R generated by the products r oe r 0 2 R of elements r oe 2 R oe and r 0 2 R , and not just the set of those products. For the rest of this paper we assume that: ....

E. Dade, The equivalence of various generalizations of group rings and modules, Math. Z., 181 (1982), 335-344.

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