語系:
繁體中文
English
日文
簡体中文
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Free ideal rings and localization in...
~
Cohn, P. M.
Free ideal rings and localization in general rings /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
512.4
書名/作者:
Free ideal rings and localization in general rings // P.M. Cohn.
其他題名:
Free Ideal Rings & Localization in General Rings
作者:
Cohn, P. M.
面頁冊數:
1 online resource (xxii, 572 pages) : : digital, PDF file(s).
附註:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:
Rings (Algebra)
標題:
Ideals (Algebra)
標題:
Associative algebras.
ISBN:
9780511542794 (ebook)
摘要、提要註:
Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.
電子資源:
http://dx.doi.org/10.1017/CBO9780511542794
Free ideal rings and localization in general rings /
Cohn, P. M.
Free ideal rings and localization in general rings /
Free Ideal Rings & Localization in General RingsP.M. Cohn. - 1 online resource (xxii, 572 pages) :digital, PDF file(s). - New mathematical monographs ;3. - New mathematical monographs ;3..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Generalities on rings and modules --1.
Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.
ISBN: 9780511542794 (ebook)Subjects--Topical Terms:
486779
Rings (Algebra)
LC Class. No.: QA247 / .C636 2006
Dewey Class. No.: 512.4
Free ideal rings and localization in general rings /
LDR
:02198nam a22003138i 4500
001
448387
003
UkCbUP
005
20151005020624.0
006
m|||||o||d||||||||
007
cr||||||||||||
008
161201s2006||||enk o ||1 0|eng|d
020
$a
9780511542794 (ebook)
020
$z
9780521853378 (hardback)
035
$a
CR9780511542794
040
$a
UkCbUP
$b
eng
$e
rda
$c
UkCbUP
050
4
$a
QA247
$b
.C636 2006
082
0 4
$a
512.4
$2
22
100
1
$a
Cohn, P. M.
$3
567547
245
1 0
$a
Free ideal rings and localization in general rings /
$c
P.M. Cohn.
246
3
$a
Free Ideal Rings & Localization in General Rings
264
1
$a
Cambridge :
$b
Cambridge University Press,
$c
2006.
300
$a
1 online resource (xxii, 572 pages) :
$b
digital, PDF file(s).
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
490
1
$a
New mathematical monographs ;
$v
3
500
$a
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505
0 0
$t
Generalities on rings and modules --
$g
1.
$t
Principal ideal domains --
$g
2.
$t
Firs, semifirs and the weak algorithm --
$g
3.
$t
Factorization in semifirs --
$g
4.
$t
Rings with a distributive factor lattice --
$g
5.
$t
Modules over firs and semifirs --
$g
6.
$t
Centralizers and subalgebras --
$g
7.
$t
Skew fields of fractions.
520
$a
Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.
650
0
$a
Rings (Algebra)
$3
486779
650
0
$a
Ideals (Algebra)
$3
642978
650
0
$a
Associative algebras.
$3
567631
776
0 8
$i
Print version:
$z
9780521853378
830
0
$a
New mathematical monographs ;
$v
3.
$3
642977
856
4 0
$u
http://dx.doi.org/10.1017/CBO9780511542794
筆 0 讀者評論
多媒體
多媒體檔案
http://dx.doi.org/10.1017/CBO9780511542794
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入