FPM 2011/2012, vol. 17, no. 7, pp. 117-150

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 7, PAGES 117-150

Orthogonal graded completion of graded semiprime rings

A. L. Kanunnikov

Abstract

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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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