The Algebraic Theory of Modular Systems
Author | : Francis Sowerby Macaulay |
Publisher | : |
Total Pages | : 138 |
Release | : 1916 |
Genre | : Elimination |
ISBN | : |
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Author | : Francis Sowerby Macaulay |
Publisher | : |
Total Pages | : 138 |
Release | : 1916 |
Genre | : Elimination |
ISBN | : |
Author | : Francis Sowerby Macaulay |
Publisher | : |
Total Pages | : 132 |
Release | : 1916 |
Genre | : Elimination |
ISBN | : |
Author | : F S Macaulay |
Publisher | : Legare Street Press |
Total Pages | : 0 |
Release | : 2023-07-18 |
Genre | : |
ISBN | : 9781019399620 |
This classic work by Francis S. Macaulay is a comprehensive exploration of the algebraic theory of modular systems. The book covers a range of topics, including the theory of groups, rings, fields, and modules, and provides a detailed analysis of the properties of modular systems. It is an essential resource for anyone interested in abstract algebra or mathematics in general. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author | : FRANCIS SOWERBY. MACAULAY |
Publisher | : |
Total Pages | : 0 |
Release | : 2019 |
Genre | : |
ISBN | : 9781033349946 |
Author | : Francis Sowerby Macaulay |
Publisher | : |
Total Pages | : 112 |
Release | : 1992 |
Genre | : Elimination |
ISBN | : |
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : 562 |
Release | : 1907 |
Genre | : Mathematics |
ISBN | : |
Author | : Teo Mora |
Publisher | : Cambridge University Press |
Total Pages | : 833 |
Release | : 2016-04-01 |
Genre | : Mathematics |
ISBN | : 1316381382 |
In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Author | : Teo Mora |
Publisher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 2015-08-07 |
Genre | : Mathematics |
ISBN | : 1316297969 |
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni–Kalkbrener Theorem, Stetter Algorithm, Cardinal–Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Author | : Serban Stratila |
Publisher | : Cambridge University Press |
Total Pages | : 461 |
Release | : 2020-12-03 |
Genre | : Mathematics |
ISBN | : 1108489605 |
The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsid ) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.