He obtained his Ph.D. under Alfred Goldie in 1965 and has been a professor at the University of Leeds since 1989. He and his colleague Chris Robson are the authors of Noncommutative Noetherian Rings.S.DepartamentoC.DepartamentoCoutinhoJ.DepartamentoC.DepartamentoMcConnellDepartamento...
Tortosa, "Key exchange protocols over noncommutative rings. The case of," Int. J. Comput. Math., vol. 89, pp. 1753-1763, 2012.Climent., Joan-Josep., Pedro R. Navarro., Leandro Tortosa. "Key exchange protocols over noncommutative rings". The case of." International Journal of Computer ...
Hajarnavis, C. ROxford University PressBulletin of the London Mathematical SocietyK. Goodearl and R. Warfield, "An Introduction to Noncommutative Noetherian Rings," London Mathematical Society Student Texts, Vol. 16, Cambridge Univ. Press, Cambridge, UK, 1989....
LOCALIZATION OF NONCOMMUTATIVE RINGSdoi:10.1112/blms/9.1.124Alfred GoldieOxford University Press (OUP)Bulletin of the London Mathematical Society
T. Y. Lam (2001), A First Course in Noncommutative Rings, 2nd edition, Springer, New York.T. Y. Lam, A First Course in Noncommutative rings, Graduate Texts in Mathematic 131, Springer-Verlag, 2001.T.Y. Lam, A First Course in Noncommutative Rings, Springer-Verlag, New York, 1991....
noncommutative ringstracesums of powersWaring's problemPrimary 11P0515A3015B33Secondary 16S50S. A. Katre and Anuradha Garge obtained necessary and sufficient trace conditions for matrices over commutative rings with unity to be sums of kth powers. In this paper, we show that these conditions hold...
In this work, we propose a method for computing noncommutative Grbner bases over a noetherian valuation ring. We have generalized the fundamental theorem on normal forms over an arbitrary ring. The classical method of dynamical commutative Grbner bases is generalized to Buchberger's algorithm over R...
In the present note, we continue to study zero-divisor properties of general skew inverse Laurent series rings R((x 1; σ, δ)), where R is an associative ring equipped with an automorphism σ and a σ-derivation δ. Extending the results of a large number of papers on the McCoy ...
As in the classical Remainder Theorem over a commutative ring, , but . As consequences, a pair of generalizations of the classical Factor Theorem is obtained, as well as a new characterization of commutative rings. This note could find classroom/homework use in a course on abstract algebra as...
Noncommutative Prfifer rings appear naturally when one wants to transfer the known results for rings which arise in algebraic geometry (such as Dedekind, Krull and Priifer, valuation rings ...) to noncommutative rings. We remove the left-right symmetry condition of the noncommutative Prfifer ...