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 $Ogr(R)$ is
constructed.
A criterion for the orthogonal completeness of the maximal right
graded quotient ring $Qgr(R)$ is proved.
The ring $Qgr(R)$
need not be orthogonally complete, as opposed to the ungraded case.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k117/k11707h.htm

Last modified: May 24, 2013