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Commutative Algebra

Commutative Algebra

Hardcover

Series: Graduate Texts in Mathematics, Book 309

Algebra

Currently unavailable to order

ISBN10: 981954226X
ISBN13: 9789819542260
Publisher: Springer
Published: Oct 1 2026
Pages: 402
Language: English
This text is a direct translation from the Japanese book published in 2011 and includes considerable updates and four new appendices by M. Hashimoto. It provides a concise and readable introduction to modern commutative algebra written by two researchers who have explored the area extensively. The book is also meant to supply the reader with sufficient tools to challenge unsolved questions related to commutative ring theory. Commutative algebra arose from number theory, algebraic geometry, and invariant theory, to describe ideal numbers, algebraic functions, and invariant functions, '' respectively. After the introduction of homological methods, the field acquired independent interest, methods and the status as an area of study in its own right. With the birth of modern commutative algebra, new connections arose with algebraic geometry through projective geometry and singularity theory. Nowadays, commutative algebra is related to many branches of mathematics including those mentioned above as well as to topology, combinatorics, and group theory.

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