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Some Remarks on Regular and Strongly Regular Rings

Published online by Cambridge University Press:  20 November 2018

R. Raphael
R. Raphael*
Affiliation:
Department of Mathematics, Concordia University (Sir George Williams Campus) Montreal, Quebec
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This article presents some new algebraic and module theoretic characterizations of strongly regular rings. The latter uses Lambek’s notion of symmetry. Strongly regular rings are shown to admit an involution and form an equational category. An example due to Paré shows that the category of regular rings and ring homomorphisms between them is not equational. Remarks on quasiinverses and the generalized inverse of a matrix are included. The author acknowledges support from the NRC (A7752) and improvements from W. Blair received after announcement of the results.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 5 , February 1975 , pp. 709 - 712
Copyright
Copyright © Canadian Mathematical Society 1975

References

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