東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Formal matrices

Krylov, Piotr.

Linked to FindBook

Google Book

Amazon

博客來

Formal matrices

Record Type:	Electronic resources : Monograph/item
Title/Author:	Formal matrices/ by Piotr Krylov, Askar Tuganbaev.
Author:	Krylov, Piotr.
other author:	Tuganbaev, Askar.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	viii, 156 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Construction of Formal Matrix Rings of Order 2 -- Modules over Formal Matrix Rings -- Formal Matrix Rings over a Given Ring -- Grothendieck and Whitehead Groups of Formal Matrix Rings.
Contained By:	Springer eBooks
Subject:	Matrices. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-53907-2
ISBN:	9783319539072

Formal matrices
Krylov, Piotr.

Formal matrices[electronic resource] /by Piotr Krylov, Askar Tuganbaev. - Cham :Springer International Publishing :2017. - viii, 156 p. :ill., digital ;24 cm. - Algebra and applications,v.231572-5553 ;. - Algebra and applications ;v.23..

Introduction -- Construction of Formal Matrix Rings of Order 2 -- Modules over Formal Matrix Rings -- Formal Matrix Rings over a Given Ring -- Grothendieck and Whitehead Groups of Formal Matrix Rings.

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.

ISBN: 9783319539072

Standard No.: 10.1007/978-3-319-53907-2doiSubjects--Topical Terms:

516894
Matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Formal matrices
LDR:02228nmm a2200325 a 4500 001 2092995
003 DE-He213
005 20170330100659.0
006 m d
007 cr nn 008maaau
008 171117s2017 gw s 0 eng d
020 $a 9783319539072 $q (electronic bk.)
020 $a 9783319539065 $q (paper)
024 7 $a 10.1007/978-3-319-53907-2 $2 doi
035 $a 978-3-319-53907-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA188
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 512.9434 $2 23
090 $a QA188 $b .K94 2017
100 1 $a Krylov, Piotr. $3 3227451
245 1 0 $a Formal matrices $h [electronic resource] / $c by Piotr Krylov, Askar Tuganbaev.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a viii, 156 p. : $b ill., digital ; $c 24 cm.
490 1 $a Algebra and applications, $x 1572-5553 ; $v v.23
505 0 $a Introduction -- Construction of Formal Matrix Rings of Order 2 -- Modules over Formal Matrix Rings -- Formal Matrix Rings over a Given Ring -- Grothendieck and Whitehead Groups of Formal Matrix Rings.
520 $a This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.
650 0 $a Matrices. $3 516894
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a Category Theory, Homological Algebra. $3 899944
650 2 4 $a K-Theory. $3 897432
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
700 1 $a Tuganbaev, Askar. $3 3227452
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Algebra and applications ; $v v.23. $3 3227453
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-53907-2
950 $a Mathematics and Statistics (Springer-11649)