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1. |
Record Nr. |
UNINA9910159532103321 |
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Autore |
Wang Fanggui |
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Titolo |
Foundations of Commutative Rings and Their Modules / / by Fanggui Wang, Hwankoo Kim |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2016 |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (XXII, 699 p. 273 illus.) |
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Collana |
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Algebra and Applications, , 2192-2950 ; ; 22 |
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Disciplina |
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Soggetti |
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Commutative algebra |
Commutative rings |
Algebra, Homological |
Commutative Rings and Algebras |
Category Theory, Homological Algebra |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Basic Theory of Rings and Modules -- 2 The Category of Modules -- 3 Homological Methods -- 4 Basic Theory of Noetherian Rings -- 5 Extensions of Rings -- 6 w-Modules over Commutative Rings -- 7 Multiplicative Ideal Theory over Integral Domains -- 8 Structural Theory of Milnor Squares -- 9 Coherent Rings with Finite Weak Global Dimension -- 10 The Grothendieck Group of a Ring -- 11 Relative Homological Algebra -- References -- Index of Symbols -- Index. |
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Sommario/riassunto |
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This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that the topics covered are ones that usually are included in any commutative algebra text. However, the contents of this book differ significantly from most commutative algebra texts: namely, its treatment of the Dedekind–Mertens formula, the (small) finitistic dimension of a ring, Gorenstein rings, valuation overrings and the valuative dimension, and Nagata rings. Going further, Chapter 6 presents w-modules over commutative rings as they can be most commonly used by torsion theory and multiplicative ideal theory. Chapter 7 deals with multiplicative ideal theory over integral domains. Chapter 8 collects various results of the pullbacks, especially Milnor |
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squares and D+M constructions, which are probably the most important example-generating machines. In Chapter 9, coherent rings with finite weak global dimensions are probed, and thelocal ring of weak global dimension two is elaborated on by combining homological tricks and methods of star operation theory. Chapter 10 is devoted to the Grothendieck group of a commutative ring. In particular, the Bass–Quillen problem is discussed. Finally, Chapter 11 aims to introduce relative homological algebra, especially where the related concepts of integral domains which appear in classical ideal theory are defined and investigated by using the class of Gorenstein projective modules. Each section of the book is followed by a selection of exercises of varying degrees of difficulty. This book will appeal to a wide readership from graduate students to academic researchers who are interested in studying commutative algebra. |
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2. |
Record Nr. |
UNINA9910254834003321 |
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Titolo |
Engineering Applications of Neural Networks : 18th International Conference, EANN 2017, Athens, Greece, August 25–27, 2017, Proceedings / / edited by Giacomo Boracchi, Lazaros Iliadis, Chrisina Jayne, Aristidis Likas |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (XIX, 737 p. 225 illus.) |
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Collana |
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Communications in Computer and Information Science, , 1865-0937 ; ; 744 |
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Disciplina |
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Soggetti |
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Artificial intelligence |
Data mining |
Image processing - Digital techniques |
Computer vision |
Application software |
Computational intelligence |
Computers - Law and legislation |
Information technology - Law and legislation |
Artificial Intelligence |
Data Mining and Knowledge Discovery |
Computer Imaging, Vision, Pattern Recognition and Graphics |
Computer and Information Systems Applications |
Computational Intelligence |
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Legal Aspects of Computing |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di contenuto |
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ANN in engineering applications -- Classification pattern recognition -- Deep learning convolutional ANN -- Deep learning image analysis -- Fuzzy - neuro fuzzy -- Learning generalization -- Learning in financial applications -- Medical AI applications -- Optimization data mining -- Recommendation systems -- Robotics and machine vision -- MHDW2017 -- 5GPINE2017. |
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Sommario/riassunto |
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This book constitutes the refereed proceedings of the 18th International Conference on Engineering Applications of Neural Networks, EANN 2017, held in Athens, Greece, in August 2017. The 40 revised full papers and 5 revised short papers presented were carefully reviewed and selected from 83 submissions. The papers cover the topics of deep learning, convolutional neural networks, image processing, pattern recognition, recommendation systems, machine learning, and applications of Artificial Neural Networks (ANN) applications in engineering, 5G telecommunication networks, and audio signal processing. The volume also includes papers presented at the 6th Mining Humanistic Data Workshop (MHDW 2017) and the 2nd Workshop on 5G-Putting Intelligence to the Network Edge (5G-PINE). |
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