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III.—Multiplicative Ideal Theory and Rings of Quotients. I.*

Published online by Cambridge University Press:  14 February 2012

George D. Findlay
George D. Findlay
Affiliation:
University of Glasgow.
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Synopsis

By means of a generalized ring of quotients multiplicative ideal theory is studied in an arbitrary (associative) ring. A suitable generalization of the concept of maximal order is given and factorization theorems are obtained for the nonsingular (two sided) ideals, which generalize the theorems of Artin and E. Noether.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 68 , Issue 1 , 1968 , pp. 30 - 53
Copyright
Copyright © Royal Society of Edinburgh 1968

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References

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