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On Meromorphisms of Algebraic Systems

Published online by Cambridge University Press:  22 January 2016

Junji Hashimoto
Junji Hashimoto*
Affiliation:
Department of Mathematics, Kobe University
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In the present paper by an algebraic system (algebra) A we shall mean a system with a set F of operations fλ: (x1,…, xn) ∈ A × · · · × A → fλ(x1,…, xn) ∈ A. A polynomial p(x1, …, xr) is a function of variables x1,…, xr which is either one of the xi, or (recursively) a result of some operation fλ(p1,…, pn) performed on other polynomials pi. An algebra A may satisfy a set R of identities p(x1,…, xr) = q(x1,…, xs), and then A shall be called an (F, R)-algebra.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 559 - 569
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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