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Polar modules

Published online by Cambridge University Press:  24 October 2008

D. Rees
D. Rees
Affiliation:
Downing CollegeCambridge
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Extract

This paper is concerned with what, for lack of a better name, the author proposes to call geometric modules over a field k. These modules are defined as follows. A geometric module M consists of a vector space, also denoted by M, over k, together with a ring of linear transformations A of M into itself subject to the following conditions:

(i) A is a homomorphic image of the ring Sn = k[X1, …, Xn] of polynomials in n indeterminates X1, …, Xn for some value of n;

(ii) M, considered as an A-module, is finitely generated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 554 - 567
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

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