Abstract
Let R be a right א0-continuous regular ring. We show that there exists a two-sided ideal I of R such that R I is a directly finite, right א0-continuous regular ring and each directly finite factor ring of R is a factor ring of R I. By using this, we extend to arbitrary right א0-continuous regular rings some of the results obtained by Goodearl for directly finite, right א0-mcontinuous regular rings. © 1987.
Original language | English |
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Pages (from-to) | 115-126 |
Journal | Journal of Algebra |
Volume | 109 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 1987 |