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PRIMITIVITY OF PRIME COUNTABLE-DIMENSIONAL REGULAR ALGEBRAS.

Authors :
ARA, PERE
BELL, JASON P.
Source :
Proceedings of the American Mathematical Society. Jul2015, Vol. 143 Issue 7, p2759-2766. 8p.
Publication Year :
2015

Abstract

Let k be a field and let R be a countable-dimensional prime von Neumann regular k-algebra. We show that R is primitive, answering a special case of a question of Kaplansky. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
143
Issue :
7
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
102164927
Full Text :
https://doi.org/10.1090/S0002-9939-2015-12434-3