Dewey Class |
512.44 |
Title |
Computations and Combinatorics in Commutative Algebra : EACA School, Valladolid 2013 ([Ebook]) / editors Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón |
Added Personal Name |
Bigatti, Anna Maria |
Gimenez, Philippe |
Sáenz-de-Cabezón, Eduardo |
Other name(s) |
SpringerLink (Online resource) |
Publication |
Cham : Springer International Publishing , 2017 |
Physical Details |
1 online resource (viii, 129 pages : illustrations) |
Series |
Lecture Notes in Mathematics ; 2176 |
ISBN |
978-3-319-51319-5 |
Summary Note |
This is a book on combinatorial commutative algebra, more precisely, it describes some applications of the combinatorics of monomial ideals to more general results in commutative algebra. It covers three topics giving a good perspective of the different facets of this subject including recent developments as well as insights on some celebrated results. While each chapter can be read independently, the book as a whole has the extra value of providing a balanced overview of the richness of approaches to combinatorial commutative algebra. Moreover, the volume has also a strong computational flavor. The three chapters contain computer sections, examples, and exercises for the reader. In the last years, very strong efforts have been made on the development of computational tools in commutative algebra and algebraic geometry, which have resulted in powerful computer algebra systems that are widely used by researchers. In this volume, chapter “Koszul Algebras and Computations” uses CoCoA [3], while chapters “Primary Decompositions” and “Combinatorics and Algebra of Geometric Subdivision Operations” use Macaulay2 [62]. Along the three chapters, we will assume that the basics on Gröbner bases and elimination contained in the celebrated book by Cox et al. [39] are known (cit. from the Preface of the book): |
Mode of acces to digital resource |
Digital book.- Cham : Springer, 2017. - Mode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in PDF format. ( PDF, 1579 KB) or ePub (1363 KB) |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org//10.1007/978-3-319-51319-5 |
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