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A Generalization of the Almost Zero Theory

Published online by Cambridge University Press:  22 January 2016

R. Sridharan
R. Sridharan*
Affiliation:
Tata Institute of Fundamental Research, Bombay 1
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In this note we shall give a modified definition of cohomology groups for algebras. For a class of (infinite rank) algebras (which includes Frobenius algebras, group rings of infinite groups and division algebras of countable rank over fields), these groups can be characterized in a manner similar to the cohomology groups in the * Almost Zero theory’ of B. Eckmann [2]. Actually, in the case of group rings, these coincide with the cohomology groups in the almost zero theory.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 14 , February 1959, pp. 85 - 93
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

References

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