Stiff derivations of commutative rings

Andrzej Nowicki

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Displaying similar documents to “Stiff derivations of commutative rings”

Generalized derivations and commutativity of rings with involution.

Oukhtite, L., Salhi, S., Taoufiq, L. (2010)

Beiträge zur Algebra und Geometrie

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A note on rings of constants of derivations in integral domains

Piotr Jędrzejewicz (2011)

Colloquium Mathematicae

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We observe that the characterization of rings of constants of derivations in characteristic zero as algebraically closed subrings also holds in positive characteristic after some natural adaptation. We also present a characterization of such rings in terms of maximality in some families of rings.

Some results of reverse derivation on prime and semiprime Γ-rings

Neshtiman Nooraldeen Suliman (2015)

Discussiones Mathematicae - General Algebra and Applications

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In the present paper, it is introduced the definition of a reverse derivation on a Γ-ring M. It is shown that a mapping derivation on a semiprime Γ-ring M is central if and only if it is reverse derivation. Also it is shown that M is commutative if for all a,b ∈ I (I is an ideal of M) satisfying d(a) ∈ Z(M), and d(a ∘ b) = 0.

The fourteenth problem of Hilbert for polynomial derivations

Andrzej Nowicki (2002)

Banach Center Publications

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We present some facts, observations and remarks concerning the problem of finiteness of the rings of constants for derivations of polynomial rings over a commutative ring k containing the field ℚ of rational numbers.

On rings with alternators in the commutative center

Kleinfeld, Erwin (1993)

Portugaliae mathematica

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Real closures of commutative rings. II.

Manfred Knebusch (1976)

Journal für die reine und angewandte Mathematik

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A Note on Derivations of Commutative Rings.

Surender K. Gupta (1974)

Mathematische Zeitschrift

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A note on characterizations of rings of constants with respect to derivations

Piotr Jędrzejewicz (2004)

Colloquium Mathematicae

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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.