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Baer Endomorphism Rings and Closure Operators

Published online by Cambridge University Press:  20 November 2018

Soumaya M. Khuri
Soumaya M. Khuri*
Affiliation:
Yale University, New Haven, Connecticut
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A Baer ring is a ring in which every right (and left) annihilator ideal is generated by an idempotent. Generalizing quite naturally from the fact that the endomorphism ring of a vector space is a Baer ring, Wolfson [5; 6] investigated questions such as when the endomorphism ring of a free module is a Baer ring, and when the ring of continuous linear transformations on a pair of dual vector spaces is a Baer ring. A further generalization was made in [7], where the question of when the endomorphism ring of a torsion-free module over a semiprime left Goldie ring is a Baer ring was treated.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 5 , 01 October 1978 , pp. 1070 - 1078
Copyright
Copyright © Canadian Mathematical Society 1978

References

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