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A Note on Induced Modules

Published online by Cambridge University Press:  20 November 2018

Charles W. Curtis
Charles W. Curtis*
Affiliation:
University of Wisconsin
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In this paper, A denotes a ring with an identity element 1, and B a subring of A containing 1 such that B satisfies the left and right minimum conditions, and A is a finitely generated left and right B-module. The identity element 1 is required to act as the identity operator on all modules which we shall consider. For any left B-module V, there is a standard construction of a left A -module which is, roughly speaking, the smallest A -module containing V.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 13 , 1961 , pp. 587 - 592
Copyright
Copyright © Canadian Mathematical Society 1961

References

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