Lectures on Rings and Modules (AMS Chelsea Publishing)

0 avg rating
( 0 ratings by Goodreads )
 
9780821849002: Lectures on Rings and Modules (AMS Chelsea Publishing)

This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments.

"synopsis" may belong to another edition of this title.

Review:

"An introduction to associative rings and modules which requires of the reader only the mathematical maturity which one would attain in a first-year graduate algebra [course] ... in order to make the contents of the book as accessible as possible, the author develops all the fundamentals he will need. In addition to covering the basic topics ... the author covers some topics not so readily available to the nonspecialist ... the chapters are written to be as independent as possible ... [which will be appreciated by] students making their first acquaintance with the subject ... one of the most successful features of the book is that it can be read by graduate students with little or no help from a specialist." ---- American Mathematical Monthly

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Joachim Lambek
Published by American Mathematical Society (2009)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Seller:
Sequitur Books
(Boonsboro, MD, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2009. Hardcover. Book Condition: New. 3rd. Brand new. We distribute directly for the publisher. This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients.A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments. Bookseller Inventory # 1602160029

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 31.00
Convert Currency

Add to Basket

Shipping: US$ 4.00
Within U.S.A.
Destination, Rates & Speeds

2.

Joachim Lambek
Published by American Mathematical Society (2009)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2009. Hardcover. Book Condition: New. book. Bookseller Inventory # M082184900X

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 48.49
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

3.

Joachim Lambek
Published by American Mathematical Society (2009)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2009. Hardcover. Book Condition: New. 3rd. Bookseller Inventory # DADAX082184900X

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 45.75
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

4.

Joachim Lambek
Published by American Mathematical Society, United States (2009)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, United States, 2009. Hardback. Book Condition: New. 3rd ed.. Language: English . Brand New Book. This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments. Table of Contents: Fundamental Concepts of Algebra: 1.1 Rings and related algebraic systems; 1.2 Subrings, homomorphisms, ideals; 1.3 Modules, direct products, and direct sums; 1.4 Classical isomorphism theorems. Selected Topics on Commutative Rings: 2.1 Prime ideals in commutative rings; 2.2 Prime ideals in special commutative rings; 2.3 The complete ring of quotients of a commutative ring; 2.4 Rings of quotients of commutative semiprime rings; 2.5 Prime ideal spaces. Classical Theory of Associative Rings: 3.1 Primitive rings; 3.2 Radicals; 3.3 Completely reducible modules; 3.4 Completely reducible rings; 3.5 Artinian and Noetherian rings; 3.6 On lifting idempotents; 3.7 Local and semiperfect rings. Injectivity and Related Concepts: 4.1 Projective modules; 4.2 Injective modules; 4.3 The complete ring of quotients; 4.4 Rings of endomorphisms of injective modules; 4.5 Regular rings of quotients; 4.6 Classical rings of quotients; 4.7 The Faith-Utumi theorem. Introduction to Homological Algebra: 5.1 Tensor products of modules; 5.2 Hom and $ otimes$ as functors; 5.3 Exact sequences; 5.4 Flat modules; 5.5 Torsion and extension products. Appendixes; Comments; Bibliography; Index. Review from Zentralblatt Math: Due to their clarity and intelligible presentation, these lectures on rings and modules are a particularly successful introduction to the surrounding circle of ideas. Review from American Mathematical Monthly: An introduction to associative rings and modules which requires of the reader only the mathematical maturity which one would attain in a first-year graduate algebra [course].in order to make the contents of the book as accessible as possible, the author develops all the fundamentals he will need. In addition to covering the basic topics.the author covers some topics not so readily available to the nonspecialist.the chapters are written to be as independent as possible.[which will be appreciated by] students making their first acquaintance with the subject.one of the most successful features of the book is that it can be read by graduate students with little or no help from a specialist. (CHEL/283.H). Bookseller Inventory # AAZ9780821849002

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 52.32
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Joachim Lambek
Published by American Mathematical Society, United States (2009)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, United States, 2009. Hardback. Book Condition: New. 3rd ed.. Language: English . Brand New Book. This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments. Table of Contents: Fundamental Concepts of Algebra: 1.1 Rings and related algebraic systems; 1.2 Subrings, homomorphisms, ideals; 1.3 Modules, direct products, and direct sums; 1.4 Classical isomorphism theorems. Selected Topics on Commutative Rings: 2.1 Prime ideals in commutative rings; 2.2 Prime ideals in special commutative rings; 2.3 The complete ring of quotients of a commutative ring; 2.4 Rings of quotients of commutative semiprime rings; 2.5 Prime ideal spaces. Classical Theory of Associative Rings: 3.1 Primitive rings; 3.2 Radicals; 3.3 Completely reducible modules; 3.4 Completely reducible rings; 3.5 Artinian and Noetherian rings; 3.6 On lifting idempotents; 3.7 Local and semiperfect rings. Injectivity and Related Concepts: 4.1 Projective modules; 4.2 Injective modules; 4.3 The complete ring of quotients; 4.4 Rings of endomorphisms of injective modules; 4.5 Regular rings of quotients; 4.6 Classical rings of quotients; 4.7 The Faith-Utumi theorem. Introduction to Homological Algebra: 5.1 Tensor products of modules; 5.2 Hom and $ otimes$ as functors; 5.3 Exact sequences; 5.4 Flat modules; 5.5 Torsion and extension products. Appendixes; Comments; Bibliography; Index. Review from Zentralblatt Math: Due to their clarity and intelligible presentation, these lectures on rings and modules are a particularly successful introduction to the surrounding circle of ideas. Review from American Mathematical Monthly: An introduction to associative rings and modules which requires of the reader only the mathematical maturity which one would attain in a first-year graduate algebra [course].in order to make the contents of the book as accessible as possible, the author develops all the fundamentals he will need. In addition to covering the basic topics.the author covers some topics not so readily available to the nonspecialist.the chapters are written to be as independent as possible.[which will be appreciated by] students making their first acquaintance with the subject.one of the most successful features of the book is that it can be read by graduate students with little or no help from a specialist. (CHEL/283.H). Bookseller Inventory # AAZ9780821849002

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 53.83
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Joachim Lambek
ISBN 10: 082184900X ISBN 13: 9780821849002
New Quantity Available: 1
Seller:
Speedy Hen LLC
(Sunrise, FL, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # ST082184900X. Bookseller Inventory # ST082184900X

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 60.16
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

7.

Joachim Lambek
Published by American Mathematical Society (2009)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Quantity Available: 1
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, 2009. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # GB-9780821849002

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 50.03
Convert Currency

Add to Basket

Shipping: US$ 11.93
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Lambek, Joachim
Published by American Mathematical Society (2009)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Rating
[?]

Book Description American Mathematical Society, 2009. Book Condition: New. Editor(s): Lambek, Joachim. Series: AMS Chelsea Publishing. Num Pages: 185 pages. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 159 x 232 x 16. Weight in Grams: 400. . 2009. 3rd. Hardcover. . . . . . Bookseller Inventory # V9780821849002

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 67.55
Convert Currency

Add to Basket

Shipping: FREE
From Ireland to U.S.A.
Destination, Rates & Speeds

9.

Joachim Lambek
Published by American Mathematical Society (2010)
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, 2010. Book Condition: New. book. Bookseller Inventory # ria9780821849002_rkm

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 63.26
Convert Currency

Add to Basket

Shipping: US$ 5.13
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Lambek, Joachim
Published by American Mathematical Society
ISBN 10: 082184900X ISBN 13: 9780821849002
New Hardcover Quantity Available: 1
Seller:
Kennys Bookstore
(Olney, MD, U.S.A.)
Rating
[?]

Book Description American Mathematical Society. Book Condition: New. Editor(s): Lambek, Joachim. Series: AMS Chelsea Publishing. Num Pages: 185 pages. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 159 x 232 x 16. Weight in Grams: 400. . 2009. 3rd. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780821849002

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 68.99
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book