On innerness of derivations on .
Barrenechea, A.L., Peña, C.C. (2005)
Lobachevskii Journal of Mathematics
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Barrenechea, A.L., Peña, C.C. (2005)
Lobachevskii Journal of Mathematics
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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.
Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
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B.P. Duggal (1991)
Monatshefte für Mathematik
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Arno van den Essen (2006)
Colloquium Mathematicae
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We give a short proof of a counterexample (due to Daigle and Freudenburg) to Hilbert's fourteenth problem in dimension five.
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.
Bouali, Said, Bouhafsi, Youssef (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 47B47, 47B10; Secondary 47A30. Let H be a separable infinite dimensional complex Hilbert space and let L(H) denote the algebra of all bounded linear operators on H into itself. Given A ∈ L(H), the derivation δA : L(H)→ L(H) is defined by δA(X) = AX-XA. In this paper we prove that if A is an n-multicyclic hyponormal operator and T is hyponormal such that AT = TA, then || δA(X)+T|| ≥ ||T|| for all X ∈ L(H). We establish the...
Qimei Xiao, Wenjun Liu (2016)
Open Mathematics
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A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation. ...
Chaudhry, Muhammad Anwar, Thaheem, A.B. (2004)
International Journal of Mathematics and Mathematical Sciences
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Oscar Goldman (1951)
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.
Yan, Dangui, Zhang, Chengchang (2011)
International Journal of Mathematics and Mathematical Sciences
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Feng Wei, Zhankui Xiao (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Guessous, Mohamed (1997)
Journal of Convex Analysis
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C. Han, P. Monsky (1993)
Mathematische Zeitschrift
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