Generalized derivations and commutativity of rings with involution.
Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
Similarity:
Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
Similarity:
Andrzej Nowicki (2002)
Banach Center Publications
Similarity:
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.
Andrzej Nowicki (1984)
Colloquium Mathematicae
Similarity:
Piotr Jędrzejewicz (2011)
Colloquium Mathematicae
Similarity:
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.
Surender K. Gupta (1974)
Mathematische Zeitschrift
Similarity:
Wolmer V. Vasconcelos (1969)
Mathematische Zeitschrift
Similarity:
Bell, Howard E., Klein, Abraham A. (2010)
Beiträge zur Algebra und Geometrie
Similarity:
Manfred Knebusch (1976)
Journal für die reine und angewandte Mathematik
Similarity:
Neshtiman Nooraldeen Suliman (2015)
Discussiones Mathematicae - General Algebra and Applications
Similarity:
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.
Michael G. Voskoglou (1985)
Publications de l'Institut Mathématique
Similarity:
Dhara, Basudeb, Sharma, R.K. (2009)
Sibirskij Matematicheskij Zhurnal
Similarity:
H.E. BELL (1969)
Mathematische Annalen
Similarity:
Alberto Facchini, Catia Parolin (2011)
Colloquium Mathematicae
Similarity:
We show that practically all the properties of almost perfect rings, proved by Bazzoni and Salce [Colloq. Math. 95 (2003)] for commutative rings, also hold in the non-commutative setting.
Ajda Fošner (2014)
Colloquium Mathematicae
Similarity:
Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.
Samman, M.S. (2009)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Lăcrimioara Iancu, Maria S. Pop (2000)
Discussiones Mathematicae - General Algebra and Applications
Similarity:
We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.