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Semiprime Goldie Generalised Matrix Rings

Published online by Cambridge University Press:  20 November 2018

Michael V. Clase
Michael V. Clase*
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John s, Newfoundland, A1C 5S7, e-mail:[email protected]
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Abstract

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Necessary and sufficient conditions are given for a generalised matrix ring to be semiprime right Goldie.

Keywords

16W5016P6016S99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 2 , 01 June 1995 , pp. 174 - 176
Copyright
Copyright © Canadian Mathematical Society 1995

References

1. Cohen, M. and Rowen, L. H., Group graded rings, Comm. Algebra 11(1983), 1253–1270.Google Scholar
2. Poole, D. G. and Stewart, P. N., Classical quotient rings of generalised matrix rings, preprint.Google Scholar
3. Wauters, P. and Jespers, E., Rings graded by an inverse semigroup with finitely many idempotents, Houston J. Math. 15(1989), 291–303.Google Scholar