Generalized derivations and commutativity of rings with involution.
Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
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Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
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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.
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.
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.
Kleinfeld, Erwin (1993)
Portugaliae mathematica
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Manfred Knebusch (1976)
Journal für die reine und angewandte Mathematik
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Surender K. Gupta (1974)
Mathematische Zeitschrift
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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.
Wolmer V. Vasconcelos (1969)
Mathematische Zeitschrift
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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
Fundamenta Mathematicae
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J.K. LUEDEMAN (1970)
Mathematische Annalen
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Bell, Howard E., Klein, Abraham A. (2010)
Beiträge zur Algebra und Geometrie
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Keune, Frans (1996)
Documenta Mathematica
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Paulo Ribenboim (1973)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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R. Chaudhuri (1976)
Matematički Vesnik
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