Graded rings over arithmetical orders

Generalized rees rings and arithmetical graded rings

Crossed products over arithmetically graded rings

About graded fields

We construct the maximal graded left quotient algebra of every graded algebra A without homogeneous total right zero divisors as the direct limit of graded homomorphisms (of left A–modules) from graded dense left ideals of A into a graded left quotient algebra of A. In the case of a superalgebra, and with some extra hypothesis, we prove that the component in the neutral element of the group of the maximal graded left quotient algebra coincides with the maximal left quotient algebra of the component in the neutral element of the group of the superalgebra.

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Van F. Oystaeyen

Papers

On graded rings and modules of quotients

Control subgroups and localization of group rings