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Extensions of ideals in associative algebras

Published online by Cambridge University Press:  24 October 2008

F. Smithies
F. Smithies
Affiliation:
St John's College Cambridge
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Extract

1. Let A be an associative algebra over a commutative field K; A is then a vector space over K, and multiplication is defined in A in such a way that

for x, y, z in A and λ in K. We suppose in addition that A does not contain a unit, and we denote by Ae the algebra obtained by adjoining a unit e to A.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 55 , Issue 4 , October 1959 , pp. 277 - 281
Copyright
Copyright © Cambridge Philosophical Society 1959

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References

REFERENCES

(1)Loomis, L. H.An introduction to abstract harmonic analysis (New York, 1953).Google Scholar
(2)NaImark, M. A.Normirovannye kol'tsa (Moscow, 1956).Google Scholar