A note on P-spaces.
O. Marrero (1979)
Revista Matemática Hispanoamericana
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O. Marrero (1979)
Revista Matemática Hispanoamericana
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Pere Ara, Kenneth R. Goodearl (1992)
Publicacions Matemàtiques
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A longstanding open problem in the theory of von Neumann regular rings is the question of whether every directly finite simple regular ring must be unit-regular. Recent work on this problem has been done by P. Menal, K. C. O'Meara, and the authors. To clarify some aspects of these new developments, we introduce and study the notion of almost isomorphism between finitely generated projective modules over a simple regular ring.
Ehrlich, Gertrude (1968)
Portugaliae mathematica
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Andrzej Tyc (1979)
Fundamenta Mathematicae
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Heatherly, Henry E., Tucci, Ralph P. (2002)
International Journal of Mathematics and Mathematical Sciences
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Chen, Weixing (2007)
International Journal of Mathematics and Mathematical Sciences
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Barry J. Gardner (1975)
Commentationes Mathematicae Universitatis Carolinae
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Huanyin Chen (2008)
Czechoslovak Mathematical Journal
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Let be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.