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On Polynomial Algebras and Free Algebras
Published online by Cambridge University Press: 20 November 2018
Extract
It is well known that given the polynomial algebra (for definitions, see §2), an algebra
of type τ, and a sequence a of elements of
, one can define a congruence relation θa of
such that the factor algebra
is isomorphic to the subalgebra of
generated by a, and the isomorphism is given in a very simple way.
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- Copyright © Canadian Mathematical Society 1968
Footnotes
Research supported by the National Science Foundation under grant number GP-4221. Theorem 1 was announced in Notices Amer. Math. Soc, 12 (1965), 336.
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