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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Norman Lang (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
W. B. Vasantha Kandasamy (1993)
Archivum Mathematicum
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In this note we obtain a necessary and sufficient condition for a ring to be -weakly regular (i) When is a ring with identity and without divisors of zero (ii) When is a ring without divisors of zero. Further it is proved in a -weakly regular ring with identity and without units every element is a zero divisor.
Chen, Weixing (2007)
International Journal of Mathematics and Mathematical Sciences
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