Rings of Quotients: An Introduction to Methods of Ring Theory (Grundlehren der mathematischen Wissenschaften)

0 avg rating
( 0 ratings by Goodreads )
 
9783642660689: Rings of Quotients: An Introduction to Methods of Ring Theory (Grundlehren der mathematischen Wissenschaften)

The theory of rings of quotients has its origin in the work of (j). Ore and K. Asano on the construction of the total ring of fractions, in the 1930's and 40's. But the subject did not really develop until the end of the 1950's, when a number of important papers appeared (by R. E. Johnson, Y. Utumi, A. W. Goldie, P. Gabriel, J. Lambek, and others). Since then the progress has been rapid, and the subject has by now attained a stage of maturity, where it is possible to make a systematic account of it (which is the purpose of this book). The most immediate example of a ring of quotients is the field of fractions Q of a commutative integral domain A. It may be characterized by the two properties: (i) For every qEQ there exists a non-zero SEA such that qSEA. (ii) Q is the maximal over-ring of A satisfying condition (i). The well-known construction of Q can be immediately extended to the case when A is an arbitrary commutative ring and S is a multiplicatively closed set of non-zero-divisors of A. In that case one defines the ring of fractions Q = A [S-l] as consisting of pairs (a, s) with aEA and SES, with the declaration that (a, s)=(b, t) if there exists UES such that uta = usb. The resulting ring Q satisfies (i), with the extra requirement that SES, and (ii).

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

Buy New View Book
List Price: US$ 119.00
US$ 103.88

Convert Currency

Shipping: US$ 5.20
From United Kingdom to U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Stenstr M., B.
Published by Springer (2016)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9783642660689_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 103.88
Convert Currency

Add to Basket

Shipping: US$ 5.20
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

B. STENSTRÇÔM
Published by Springer (2011)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 2011. Paperback. Book Condition: NEW. 9783642660689 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Bookseller Inventory # HTANDREE0364189

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 104.96
Convert Currency

Add to Basket

Shipping: US$ 10.73
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

B. Stenstrom
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9783642660689

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 113.17
Convert Currency

Add to Basket

Shipping: US$ 12.07
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

B. Stenstrom
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9783642660689

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 126.72
Convert Currency

Add to Basket

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

5.

Stenstr?m, B.
Published by Springer (2011)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Paperback Quantity Available: 10
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2011. Paperback. Book Condition: New. Bookseller Inventory # INGM9783642660689

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 131.22
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds

6.

B. Stenström
Published by Springer (1975)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Softcover Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Springer, 1975. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9783642660689

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 135.33
Convert Currency

Add to Basket

Shipping: US$ 3.54
From Germany to U.S.A.
Destination, Rates & Speeds

7.

B. Stenström
Published by Springer (2011)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Springer, 2011. Paperback. Book Condition: New. book. Bookseller Inventory # M3642660681

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 142.96
Convert Currency

Add to Basket

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

8.

B. Stenstrà m
Published by Springer
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Paperback Quantity Available: > 20
Seller:
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Rating
[?]

Book Description Springer. Paperback. Book Condition: New. 309 pages. Dimensions: 9.6in. x 6.7in. x 0.7in.The theory of rings of quotients has its origin in the work of (j). Ore and K. Asano on the construction of the total ring of fractions, in the 1930s and 40s. But the subject did not really develop until the end of the 1950s, when a number of important papers appeared (by R. E. Johnson, Y. Utumi, A. W. Goldie, P. Gabriel, J. Lambek, and others). Since then the progress has been rapid, and the subject has by now attained a stage of maturity, where it is possible to make a systematic account of it (which is the purpose of this book). The most immediate example of a ring of quotients is the field of fractions Q of a commutative integral domain A. It may be characterized by the two properties: (i) For every qEQ there exists a non-zero SEA such that qSEA. (ii) Q is the maximal over-ring of A satisfying condition (i). The well-known construction of Q can be immediately extended to the case when A is an arbitrary commutative ring and S is a multiplicatively closed set of non-zero-divisors of A. In that case one defines the ring of fractions Q A S-l as consisting of pairs (a, s) with aEA and SES, with the declaration that (a, s)(b, t) if there exists UES such that uta usb. The resulting ring Q satisfies (i), with the extra requirement that SES, and (ii). This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9783642660689

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 149.26
Convert Currency

Add to Basket

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

9.

Stenström, B.
Published by Springer (2017)
ISBN 10: 3642660681 ISBN 13: 9783642660689
New Paperback Quantity Available: 2
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2017. Paperback. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # P113642660681

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 162.28
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

10.

Stenström, B.
Published by Springer
ISBN 10: 3642660681 ISBN 13: 9783642660689
New PAPERBACK Quantity Available: > 20
Seller:
Russell Books
(Victoria, BC, Canada)
Rating
[?]

Book Description Springer. PAPERBACK. Book Condition: New. 3642660681 Special order direct from the distributor. Bookseller Inventory # ING9783642660689

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 160.65
Convert Currency

Add to Basket

Shipping: US$ 7.00
From Canada to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book