The Resource Formal Matrices, by Piotr Krylov, Askar Tuganbaev, (electronic resource)
Formal Matrices, by Piotr Krylov, Askar Tuganbaev, (electronic resource)
Resource Information
The item Formal Matrices, by Piotr Krylov, Askar Tuganbaev, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Formal Matrices, by Piotr Krylov, Askar Tuganbaev, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 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 onesided nonsymmetric 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 selfcontained and accessible introduction to the topic, assuming a solid understanding of basic algebra.
 Language
 eng
 Extent
 1 online resource (VIII, 156 pages)
 Contents

 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
 Isbn
 9783319539072
 Label
 Formal Matrices
 Title
 Formal Matrices
 Statement of responsibility
 by Piotr Krylov, Askar Tuganbaev
 Language
 eng
 Summary
 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 onesided nonsymmetric 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 selfcontained and accessible introduction to the topic, assuming a solid understanding of basic algebra.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Krylov, Piotr
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Tuganbaev, Askar.
 Series statement

 Springer eBooks
 Algebra and Applications,
 Series volume
 23
 http://library.link/vocab/subjectName

 Mathematics
 Associative rings
 Rings (Algebra)
 Category theory (Mathematics)
 Homological algebra
 Ktheory
 Matrix theory
 Algebra
 Label
 Formal Matrices, by Piotr Krylov, Askar Tuganbaev, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 9783319539072
 Dimensions
 unknown
 Extent
 1 online resource (VIII, 156 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319539072
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319539072
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)980875046
 Label
 Formal Matrices, by Piotr Krylov, Askar Tuganbaev, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 9783319539072
 Dimensions
 unknown
 Extent
 1 online resource (VIII, 156 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319539072
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319539072
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)980875046
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/FormalMatricesbyPiotrKrylovAskar/sMW_3Zif1oM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/FormalMatricesbyPiotrKrylovAskar/sMW_3Zif1oM/">Formal Matrices, by Piotr Krylov, Askar Tuganbaev, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>