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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)

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
Creator
Subject
Language
eng
Summary
This book gives a thorough and entirely self-contained, in-depth 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.--
Member of
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-57219-2
Instantiates
Publication
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
978-3-319-57219-2
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, non-commercial 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
10.1007/978-3-319-57219-2
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-57219-2
Publication
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
978-3-319-57219-2
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, non-commercial 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
10.1007/978-3-319-57219-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)990778731

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