The Resource Combinatorial Algebra: Syntax and Semantics, by Mark V. Sapir, (electronic resource)

Combinatorial Algebra: Syntax and Semantics, by Mark V. Sapir, (electronic resource)

Label
Combinatorial Algebra: Syntax and Semantics
Title
Combinatorial Algebra: Syntax and Semantics
Statement of responsibility
by Mark V. Sapir
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Combinatorial Algebra: Syntax and Semantics provides a comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass–Guivarc'h theorem about the growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several ``universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata. With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience. No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this book extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the “Further reading and open problems” sections at the end of Chapters 2 –5. The book can be used in a classroom and for self-study, engaging anyone who wishes to learn and better understand this important area of mathematics
Member of
http://library.link/vocab/creatorName
Sapir, Mark V
Image bit depth
0
LC call number
QA174-183
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • Combinatorics
  • Logic, Symbolic and mathematical
  • Mathematics
  • Group Theory and Generalizations
  • Combinatorics
  • Mathematical Logic and Foundations
Label
Combinatorial Algebra: Syntax and Semantics, by Mark V. Sapir, (electronic resource)
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
Introduction -- 1. Main definitions and basic fact -- 2. Words that can be avoided -- 3. Semigroups -- 4. Rings -- 5. Groups -- Bibliography -- Index
Dimensions
unknown
Extent
XVI, 355 p. 66 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319080314
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-08031-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-08031-4
Label
Combinatorial Algebra: Syntax and Semantics, by Mark V. Sapir, (electronic resource)
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
Introduction -- 1. Main definitions and basic fact -- 2. Words that can be avoided -- 3. Semigroups -- 4. Rings -- 5. Groups -- Bibliography -- Index
Dimensions
unknown
Extent
XVI, 355 p. 66 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319080314
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-08031-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-08031-4

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