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Torsion and protorsion modules over free ideal rings

Published online by Cambridge University Press:  09 April 2009

P. M. Cohn
Affiliation:
Bedford CollegeRegents ParkLondonN.W. 1
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Free ideal rings (or firs, cf. [2, 3] and § 2 below) form a noncommutative analogue of principal ideal domains, to which they reduce in the commutative case, and in [3] a category TR of right R-modules was defined, over any fir R, which forms an analogue of finitely generated torsion modules. The category TR was shown to be abelian, and all its objects have finite composition length; more over, the corresponding category RT of left R-modules is dual to TR.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1970

References

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