Categorical investigation of -graded -algebras
Huq, S.A., Aijaz, Kulsoom (1969)
Portugaliae mathematica
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Huq, S.A., Aijaz, Kulsoom (1969)
Portugaliae mathematica
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Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring. ...
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