A Note on Derivations of Commutative Rings.
Surender K. Gupta (1974)
Mathematische Zeitschrift
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Surender K. Gupta (1974)
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Let A be a commutative algebra without zero divisors over a field k. If A is finitely generated over k, then there exist well known characterizations of all k-subalgebras of A which are rings of constants with respect to k-derivations of A. We show that these characterizations are not valid in the case when the algebra A is not finitely generated over k.