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A Foundation of Torsion Theory for Modules Over General Rings

Published online by Cambridge University Press:  22 January 2016

Akira Hattori
Akira Hattori*
Affiliation:
Tokyo University of Education
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When we consider modules A over a ring R which is not a commutative integral domain, the usual torsion theory becomes somewhat inadequate, since zero-divisors of R are disregarded and since the torsion elements of A do not in general form a submodule. In this paper we shall try to remedy such defects by modifying the fundamental notions such as torsion modules, divisible modules, etc.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 17 , August 1960 , pp. 147 - 158
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

References

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