1 edition of **Commutative Algebra, Singularities and Computer Algebra** found in the catalog.

- 122 Want to read
- 37 Currently reading

Published
**2003**
by Springer Netherlands in Dordrecht
.

Written in English

**Commutative Algebra, Singularities and Computer Algebra** presents current trends in commutative algebra, algebraic combinatorics, singularity theory and computer algebra, and highlights the interaction between these disciplines. Contributions by leading international mathematicians thoroughly discuss topics in: modules theory, integrally closed ideals and determinantal ideals, singularities in projective spaces and Castelnuovo-Mumford regularity, Groebner and SAGBI basis, and the use of the computer packages Bergman, CoCoA and SINGULAR.

**Edition Notes**

Other titles | Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002 |

Statement | edited by Jürgen Herzog, Victor Vuletescu |

Series | NATO Science Series, A Series presenting the results of scientific meetings supported under the NATO Science Programme, 1568-2609 -- 115, NATO Science Series, A Series presenting the results of scientific meetings supported under the NATO Science Programme -- 115. |

Contributions | Vuletescu, Victor |

The Physical Object | |
---|---|

Format | [electronic resource] : |

Pagination | 1 online resource (288 pages). |

Number of Pages | 288 |

ID Numbers | |

Open Library | OL27025212M |

ISBN 10 | 9400710925 |

ISBN 10 | 9789400710924 |

OCLC/WorldCa | 840303444 |

Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Introduction to Commutative Algebra of Singularities Kei-ichi Watanabe (College of Humanity and Sciences, Nihon Univ.) 1 Preface In the theory of commutative rings, there are many cases where we must use methods of singularity theory or algebraic geometry. For example, if we want to.

There is no shortage of books on Commutative Algebra, but the present book is ﬀt. Most books are monographs, with extensive coverage. There is one notable exception: Atiyah and Macdonald’s classic [2]. It is a clear, concise, and ﬃt textbook, aimed at beginners, with a good selection of topics. So it has remained popular. However File Size: 1MB. Syllabus Readings Assignments Download Course Materials; Course Meeting Times. Lectures: 2 sessions / week, hours / session. Description. In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization.

Commutative Algebra, Singularities and Computer Algebra: Proceedings of the NATO Commutative Algebra, Singularities $ Algebra, and Singularities Commutative Computer NATO of Proceedings Algebra: the the Algebra: Proceedings Algebra, Computer NATO and of Commutative Singularities. Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings, rings of algebraic integers, including the ordinary integers, and p-adic integers.

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Critical, historical, and miscellaneous essays and poems, by Lord Macaulay; with a memoir and index.

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Commutative Algebra, Singularities and Computer Algebra Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computer Algebra Sinaia, Romania 17–22 September Editors: Herzog, Jürgen, Vuletescu, Victor (Eds.) Singularities and Computer Algebra book Preview.

Buy Commutative Algebra, Singularities and Computer Algebra: Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and September (Nato Science Series II:) on FREE SHIPPING on qualified ordersFormat: Hardcover.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Commutative Algebra, Singularities and Computer Algebra Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computer Algebra Sinaia, Romania 17–22 September Commutative Algebra, Singularities and Computer Algebra: Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computer Algebra Sinaia, Romania 17–22 September Ciprian S.

Borcea (auth.), Jürgen Herzog, Victor Vuletescu (eds.). “This book is a pleasant elementary course in commutative algebra with views toward algebraic geometry, computer algebra and invariant theory. It also studies Noetherian topological spaces and their irreducible components with an application to the spectrum of a Noetherian ring.

Cited by: Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

This is not to say that no one else cares about my "great 21st century commutative algebra book". I have gotten a lot of feedback to the contrary, and I do think it -- or rather, parts of it -- are being read by a worldwide audience. Conversely, I regularly peruse other people's great 21st century commutative algebra books for nuggets of insight.

Commutative Algebra, Singularities and Computer Algebra presents current trends in commutative algebra, algebraic combinatorics, singularity theory and computer algebra, and highlights the interaction between these disciplines.

Contributions by leading international mathematicians thoroughly discuss topics in: modules theory, integrally closed ideals and determinantal ideals, singularities in Brand: Jurgen Herzog; Victor Vuletescu.

Get this from a library. Commutative Algebra, Singularities and Computer Algebra: Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computer Algebra Sinaia, Romania September This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

The motivation for this book comes from the research of the distinguished mathematician, Antonio Campillo. Commutative Algebra, Singularities and Computer Algebra: Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computer Algebra Sinaia, Romania September by Jurgen Herzog.

Starting at $ This book can be understood as a model for teaching commutative algebra, and takes into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, the authors show how the concept can be worked on using a computer. Algebra by Lang is definitely not a reference for discover commutative algebra, this is more a reference book which is useful once you know the subject.

Finally, if you want to study algebraic geometry, I would advice to start studying algebraic geometry the earlier you can for still being motivated.

The workshop will examine the interplay between measures of singularities coming both from characteristic p methods of commutative algebra, and invariants of singularities coming from birational algebraic geometry.

There is a long history of this interaction which arises via the "reduction to characteristic p" procedure. Singular is a computer algebra system for polynomial computations, with special emphasis on commutative and non-commutative algebra, algebraic geometry, and singularity theory.

It is free and open-source under the GNU General Public Licence. Singular provides. highly efficient core algorithms, a multitude of advanced algorithms in the above fields, an intuitive, C-like programming language.

The book can be used for courses, seminars and as a basis for studying research papers in commutative algebra, computer algebra and algebraic geometry. The text starts with the theory of rings and modules and standard bases with emphasis on local rings and localization.

Overview. Commutative algebra is essentially the study of the rings occurring in algebraic number theory and algebraic geometry.

In algebraic number theory, the rings of algebraic integers are Dedekind rings, which constitute therefore an important class of commutative erations related to modular arithmetic have led to the notion of a valuation ring. Applications of the theory and even suggestions for computer algebra projects are included.

This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear.

In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry.

In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory/5.

Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 with some twists, starting with the differently coloured cover : Martin Kreuzer, Lorenzo Robbiano.A Term of Commutative Algebra.

This book is a clear, concise, and efficient textbook, aimed at beginners, with a good selection of topics. Topics covered includes: Rings and Ideals, Radicals, Filtered Direct Limits, Cayley–Hamilton Theorem, Localization of Rings and Modules, Krull–Cohen–Seidenberg Theory, Rings and Ideals, Direct Limits, Filtered direct limit.Book Description.

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.