The Resource From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories, by Dominique Bourn, (electronic resource)
From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories, by Dominique Bourn, (electronic resource)
Resource Information
The item From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories, by Dominique Bourn, (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 From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories, by Dominique Bourn, (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 book gives a thorough and entirely selfcontained, indepth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”. This method of categorical algebra, is actually not limited to the study of groups alone, but applies equally well to other similar categories of algebraic objects. By introducing protomodular categories and Mal’tsev categories, which form a larger class, the structural properties of the category Gp of groups, show how they emerge from four very basic observations about the algebraic litteral calculus and how, studied for themselves at the conceptual categorical level, they lead to the main striking features of the category Gp of groups. Hardly any previous knowledge of category theory is assumed, and just a little experience with standard algebraic structures such as groups and monoids. Examples and exercises help understanding the basic definitions and results throughout the text.
 Language
 eng
 Extent
 1 online resource (XII, 106 pages)
 Contents

 Basic concepts in category theory
 Internal structures
 Four basic facts in Algebra
 Unital and protomodular categories
 Regular and homological categories
 Linear and additive categories
 Mal’tsev, naturally Mal’tsev categories
 Isbn
 9783319572192
 Label
 From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories
 Title
 From Groups to Categorial Algebra
 Title remainder
 Introduction to Protomodular and Mal’tsev Categories
 Statement of responsibility
 by Dominique Bourn
 Language
 eng
 Summary
 This book gives a thorough and entirely selfcontained, indepth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”. This method of categorical algebra, is actually not limited to the study of groups alone, but applies equally well to other similar categories of algebraic objects. By introducing protomodular categories and Mal’tsev categories, which form a larger class, the structural properties of the category Gp of groups, show how they emerge from four very basic observations about the algebraic litteral calculus and how, studied for themselves at the conceptual categorical level, they lead to the main striking features of the category Gp of groups. Hardly any previous knowledge of category theory is assumed, and just a little experience with standard algebraic structures such as groups and monoids. Examples and exercises help understanding the basic definitions and results throughout the text.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Bourn, Dominique
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer eBooks
 Compact Textbooks in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Category theory (Mathematics)
 Homological algebra
 Algebra
 Label
 From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories, by Dominique Bourn, (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
 Basic concepts in category theory  Internal structures  Four basic facts in Algebra  Unital and protomodular categories  Regular and homological categories  Linear and additive categories  Mal’tsev, naturally Mal’tsev categories
 Control code
 9783319572192
 Dimensions
 unknown
 Extent
 1 online resource (XII, 106 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
 9783319572192
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319572192
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)990778731
 Label
 From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories, by Dominique Bourn, (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
 Basic concepts in category theory  Internal structures  Four basic facts in Algebra  Unital and protomodular categories  Regular and homological categories  Linear and additive categories  Mal’tsev, naturally Mal’tsev categories
 Control code
 9783319572192
 Dimensions
 unknown
 Extent
 1 online resource (XII, 106 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
 9783319572192
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319572192
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)990778731
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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/FromGroupstoCategorialAlgebraIntroduction/q0nsx0wCUoU/" 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/FromGroupstoCategorialAlgebraIntroduction/q0nsx0wCUoU/">From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories, by Dominique Bourn, (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>