ENGLISH

Commutative Algebra: Constructive Methods: Finite Projective Modules

By Henri Lombardi , Claude Quitté

Book information

Publisher
Springer
Year
2015
ISBN
9789401799430, 9401799431, 9789401799447, 940179944X
DOI
10.1007/978-3-319-19494-3
ISSN
1572-5553
Language
english
Format
PDF
Filesize
11 MB (11223592 bytes)
Series
Algebras and Applications 20
Pages
996\1033
Topic
Mathematics Algebra
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2015-07-25 13:19:12
Commutative Rings and Algebras; Mathematical Logic

Description

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.

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