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Orthogonal Graded Completion of Graded Semiprime Rings

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Abstract

For an associative gr-semiprime ring R with identity graded by a group, the orthogonal graded completion O gr(R) is constructed. A criterion for the orthogonal completeness of the maximal right graded quotient ring Q gr(R) is proved. The ring Q gr(R) need not be orthogonally complete, as opposed to the ungraded case.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. L. Kanunnikov

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  1. A. L. Kanunnikov
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Correspondence to A. L. Kanunnikov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 7, pp. 117–150, 2011/12.

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Kanunnikov, A.L. Orthogonal Graded Completion of Graded Semiprime Rings. J Math Sci 197, 525–547 (2014). https://doi.org/10.1007/s10958-014-1732-3

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