Decomposition of Mal'cev-Neumann division algebras with involution.
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H. Dherte (1994)
Mathematische Zeitschrift
Marius Crainic, Ieke Moerdijk (2008)
Journal of the European Mathematical Society
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
Leonid Makar-Limanov, Jie-Tai Yu (2008)
Journal of the European Mathematical Society
We develop a new combinatorial method to deal with a degree estimate for subalgebras generated by two elements in different environments. We obtain a lower bound for the degree of the elements in two-generated subalgebras of a free associative algebra over a field of zero characteristic. We also reproduce a somewhat refined degree estimate of Shestakov and Umirbaev for the polynomial algebra, which plays an essential role in the recent celebrated solution of the Nagata conjecture and the strong...
Ali, Faisal, Chaudhry, Muhammad Anwar (2009)
International Journal of Mathematics and Mathematical Sciences
Swain, Gordon A. (2006)
Mathematica Pannonica
O. M. Di Vincenzo (1989)
Rendiconti del Seminario Matematico della Università di Padova
Silvana Mauceri (1990)
Rendiconti del Seminario Matematico della Università di Padova
Ivan Dimitrov Trendafilov (2012)
Discussiones Mathematicae - General Algebra and Applications
The goal of this paper is to provide some basic structure information on derivations in finite semirings.
Luh, Jiang, Ye, Youpei (1998)
International Journal of Mathematics and Mathematical Sciences
Naoki Hamaguchi, Atsushi Nakajima (2002)
Publications de l'Institut Mathématique
Ben Yakoub, L., Louly, A. (2009)
Beiträge zur Algebra und Geometrie
Tsiu-Kwen Lee (2005)
Studia Mathematica
We discuss range inclusion results for derivations on noncommutative Banach algebras from the point of view of ring theory.
Andrzej Nowicki (1989)
Colloquium Mathematicae
Jacek Brodzki (1993)
Journal für die reine und angewandte Mathematik
Shuliang Huang (2011)
Czechoslovak Mathematical Journal
Let be a prime ring, a nonzero ideal of , a derivation of and fixed positive integers. (i) If for all , then is commutative. (ii) If and for all , then is commutative. Moreover, we also examine the case when is a semiprime ring.
Basudeb Dhara, Rajendra K. Sharma (2008)
Czechoslovak Mathematical Journal
Let be a prime ring of char with a nonzero derivation and let be its noncentral Lie ideal. If for some fixed integers , for all , then satisfies , the standard identity in four variables.
Vincenzo De Filippis (2000)
Bollettino dell'Unione Matematica Italiana
A. Cardon, M. Crochemore (1980)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
A. WIDIGER (1974)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Cătălin Ciupală (2005)
Archivum Mathematicum
In this paper we introduce a new class of differential graded algebras named DG -algebras and present Lie operations on this kind of algebras. We give two examples: the algebra of forms and the algebra of noncommutative differential forms of a -algebra. Then we introduce linear connections on a -bimodule over a -algebra and extend these connections to the space of forms from to . We apply these notions to the quantum hyperplane.
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