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Hereditary Semi-Primary Rings and Tri-Angular Matrix Rings

Published online by Cambridge University Press:  22 January 2016

Manabu Harada
Manabu Harada*
Affiliation:
Osaka City University
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It is well known that the semi-simple rings with minimum conditions coincide with the rings of global homological dimension zero and that the hereditary rings coincide with the rings of global dimension one. Eilenberg, Jans, Nagao and Nakayama gave some properties of hereditary rings in [4] and [11], which relate to global dimension of factor rings. As an example of non-commutative hereditary ring we know a tri-angular matrix ring over a semi-simple ring.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 463 - 484
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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