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A characterization of von Neumann regular rings and applications

โœ Scribed by Tsiu-Kwen Lee; Yiqiang Zhou


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
137 KB
Volume
433
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


A new characterization of von Neumann regular rings is obtained, in terms of simple 0-multiplication of matrices, and is used to establish the natural connections between von Neumann regular rings and feebly Baer modules and rings.


๐Ÿ“œ SIMILAR VOLUMES


K2 of von Neumann regular rings
โœ R.Keith Dennis; Andy R. Magid ๐Ÿ“‚ Article ๐Ÿ“… 1975 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 785 KB
Semisimple Rings and Von Neumann Regular
โœ Paulo Ribenboim ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

In this paper we continue our investigation of generalized power series. The main theorem determines rings of generalized power series which are Von Neumann regular rings and semisimple rings. In the final section we give a new proof of Neumann's theorem on skewfields of generalized power series wit