Unit-regular rings
Ehrlich, Gertrude (1968)
Portugaliae mathematica
Similarity:
Ehrlich, Gertrude (1968)
Portugaliae mathematica
Similarity:
Huanyin Chen, Fu-An Li (2002)
Collectanea Mathematica
Similarity:
In this paper we investigate the related comparability over exchange rings. It is shown that an exchange ring R satisfies the related comparability if and only if for any regular x C R, there exists a related unit w C R and a group G in R such that wx C G.
Heatherly, Henry E., Tucci, Ralph P. (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Pere Ara, Kenneth R. Goodearl (1992)
Publicacions Matemàtiques
Similarity:
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.
Chen, Huanyin, Chen, Miaosen (2003)
The New York Journal of Mathematics [electronic only]
Similarity:
Zhang, Jule, Du, Xianneng (1994)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Huanyin Chen (2007)
Czechoslovak Mathematical Journal
Similarity:
We characterize exchange rings having stable range one. An exchange ring has stable range one if and only if for any regular , there exist an and a such that and if and only if for any regular , there exist and such that if and only if for any , .
Chen, Weixing (2007)
International Journal of Mathematics and Mathematical Sciences
Similarity: