commutative algebra london mathematical society lecture note series

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Commutative Algebra

Author : J. T. Knight
ISBN : 9780521081931
Genre : Mathematics
File Size : 50. 18 MB
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This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry. It assumes only that the reader has completed an undergraduate algebra course. The fresh approach and simplicity of proof enable a large amount of material to be covered; exercises and examples are included throughout the notes.

Commutative Algebra

Author : R. Y. Sharp
ISBN : 9780521271257
Genre : Mathematics
File Size : 35. 98 MB
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This book is concerned with the research conducted in the late 1970s and early 1980s in the theory of commutative Neotherian rings. It consists of articles by invited speakers at the Symposium of Commutative Algebra held at the University of Durham in July 1981; these articles are all based on lectures delivered at the Symposium. The purpose of this book is to provide a record of at least some aspects of the Symposium, which several of the world leaders in the field attended. Several articles are included which provide surveys, incorporating historical perspective, details of progress made and indications of possible future lines of investigation. The book will be of interest to scholars of commutative and local algebra.

Representation Theory And Algebraic Geometry

Author : A. Martsinkovsky
ISBN : 0521577896
Genre : Mathematics
File Size : 50. 19 MB
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For any researcher working in representation theory, algebraic or arithmetic geometry.

Commutative Algebra

Author : Alberto Corso
ISBN : 1420028324
Genre : Mathematics
File Size : 31. 23 MB
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Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles presented during two conferences held in Spain and Portugal in June, 2003. It encompasses a variety of topics, including blowup algebras, Castelnuovo-Mumford regularity, integral closure and normality, Koszul homology, liaison theory, multiplicities, polarization, and reductions of ideals. This comprehensive volume will stimulate further research in the field.

London Mathematical Society Lecture Note Series

Author :
ISBN : UCAL:B5111468
Genre : Mathematics
File Size : 43. 11 MB
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Commutative Algebra And Its Interactions To Algebraic Geometry

Author : Nguyen Tu CUONG
ISBN : 9783319755656
Genre : Mathematics
File Size : 90. 20 MB
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This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties.

Commutative Algebra And Noncommutative Algebraic Geometry

Author :
ISBN : 9781107065628
Genre :
File Size : 76. 70 MB
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London Mathematical Society Lecture Note Series

Author : Jan R. Strooker
ISBN : UCAL:B5111471
Genre :
File Size : 26. 97 MB
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London Mathematical Society Lecture Note Series

Author : Yūji Yoshino
ISBN : UCAL:B5111472
Genre :
File Size : 53. 62 MB
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Approximate Commutative Algebra

Author : Lorenzo Robbiano
ISBN : 9783211993149
Genre : Mathematics
File Size : 43. 3 MB
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Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seen enormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific modelling, it is very natural to want to extend these ideas to handle approximate, empirical data deriving from physical measurements of phenomena in the real world. In this volume nine contributions from established researchers describe various approaches to tackling a variety of problems arising in Approximate Commutative Algebra.

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