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Free non-associative principal train algebras

Published online by Cambridge University Press:  20 January 2009

P. Holgate
P. Holgate
Affiliation:
Birkbeck CollegeLondon Wcie 7HX
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The definitions of finite dimensional baric, train, and special train algebras, and of genetic algebras in the senses of Schafer and Gonshor (which coincide when the ground field is algebraically closed, and which I call special triangular) are given in Worz-Busekros's monograph [8]. In [6] I introduced applications requiring infinite dimensional generalisations. The elements of these algebras were infinite linear forms in basis elements a0, a1,… and complex coefficients such that In this paper I consider only algebras whose elements are forms which only a finite number of the xi are non zero.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 3 , October 1984 , pp. 313 - 319
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

REFERENCES

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