Aleph-Nought-continuous regular rings

Pere Ara

doi:10.1016/0021-8693(87)90167-0

Aleph-Nought-continuous regular rings

Pere Ara

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

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 language	English
Pages (from-to)	115-126
Journal	Journal of Algebra
Volume	109
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(87)90167-0
Publication status	Published - 1 Jan 1987

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title = "Aleph-Nought-continuous regular rings",

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. {\textcopyright} 1987.",

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N2 - 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.

AB - 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.

U2 - 10.1016/0021-8693(87)90167-0

DO - 10.1016/0021-8693(87)90167-0

M3 - Article

VL - 109

SP - 115

EP - 126

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -