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A Note on Dualizing Goldie Dimension

Published online by Cambridge University Press:  20 November 2018

Patrick Fleury
Patrick Fleury*
Affiliation:
Department of Mathematics, State University College, Plattsburgh, New York 12901
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The purpose of this note is to offer a equalization of the concept of Goldie dimension and to prove a structure theorem (Theorem 3.1) for modules satisfying the conditions of this dualization. In this paper, all rings considered are associative with unit and all modules are unital.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 4 , 01 December 1974 , pp. 511 - 517
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Goldie, A. W., Rings with maximum condition, Mimeographed notes, Yale University, Department of Mathematics (1964).Google Scholar
2. Lambek, J., Lectures on rings and modules, Toronto, Blaisdell (1966).Google Scholar
3. Roggenkamp, K. W. and V. Huber-Dyson, , Lattices over orders, I, Lecture notes in mathematics, no. 115, Berlin, Springer-Verlag (1970).Google Scholar
4. Ware, R., Endomorphism rings of projective modules, Trans. Amer. Math. Soc, v. 155, no. 1, March 1971, pp. 233-256.Google Scholar