Aleph-Nought-continuous regular rings

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7 Citations (Scopus)

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 languageEnglish
Pages (from-to)115-126
JournalJournal of Algebra
Volume109
Issue number1
DOIs
Publication statusPublished - 1 Jan 1987

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