Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings
Basudeb Dhara, R. K. Sharma (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Derivations satisfying polynomial identities”
Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings
A Note on Posner s Theorem with Generalized Derivations on Lie Ideals
Vincenzo De Filippis, M. S. Tammam El-Sayiad (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Local derivations in polynomial and power series rings
Janusz Zieliński (2002)
Colloquium Mathematicae
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We give a description of all local derivations (in the Kadison sense) in the polynomial ring in one variable in characteristic two. Moreover, we describe all local derivations in the power series ring in one variable in any characteristic.
A result on vanishing derivations for commutators on right ideals.
De Filippis, Vincenzo (2005)
Mathematica Pannonica
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Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals
Nurcan Argaç, Vincenzo De Filippis, H. G. Inceboz (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Posner's second theorem and an annihilator condition.
De Filippis, V., Di Vincenzo, O.M. (2001)
Mathematica Pannonica
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Inversion of Monic polynomials and Existence of Unimodular Elements (II).
S.M. Bhatwadekar (1988/89)
Mathematische Zeitschrift
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On derivations and commutativity in prime rings.
De Filippis, Vincenzo (2004)
International Journal of Mathematics and Mathematical Sciences
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On polynomials taking small values at integral arguments II
Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
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Products of derivations which act as Lie derivations on commutators of right ideals.
De Filippis, V. (2006)
International Journal of Mathematics and Mathematical Sciences
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Inversion of Monic Polynomials and Existence of Unimodular Elements.
Amit Roy, Shrikant M. Bhatwadekar (1983)
Mathematische Zeitschrift
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A characterization of p-bases of rings of constants
Piotr Jędrzejewicz (2013)
Open Mathematics
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We obtain two equivalent conditions for m polynomials in n variables to form a p-basis of a ring of constants of some polynomial K-derivation, where K is a unique factorization domain of characteristic p > 0. One of these conditions involves Jacobians while the other some properties of factors. In the case m = n this extends the known theorem of Nousiainen, and we obtain a new formulation of the Jacobian conjecture in positive characteristic.