Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules

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A01=Christian.U Jensen
A01=Helmt Lenzing
advanced algebraic structures research
Algebraic Closure
algebraic model theory
Artinian Rings
Author_Christian.U Jensen
Author_Helmt Lenzing
axiomatizable classes
Category=PBF
Classical Krull Dimension
Commutative Local Noetherian Ring
Commutative Noetherian Ring
Dedekind Domain
Descending Chain Condition
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Dimensional Algebras
Finite Global Dimension
Full Matrix Ring
homological algebra concepts
Indecomposable Module
Left Coherent Ring
Left Noetherian
Left Noetherian Ring
logical foundations mathematics
Maximal Ideal
module theory applications
Noetherian Ring
Non-principal Ultrafilters
Power Series Rings
Pure Injective Envelope
Pure Injective Modules
Pure Submodule
Quotient Field
Real Closed Fields
representation theory methods
Valuation Ring
Von Neumann Regular Ring

Product details

  • ISBN 9782881247170
  • Weight: 816g
  • Dimensions: 152 x 229mm
  • Publication Date: 26 Jul 1989
  • Publisher: Gordon & Breach Science Publishers SA
  • Publication City/Country: NL
  • Product Form: Hardback
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This volume highlights the links between model theory and algebra. The work contains a definitive account of algebraically compact modules, a topic of central importance for both module and model theory. Using concrete examples, particular emphasis is given to model theoretic concepts, such as axiomizability. Pure mathematicians, especially algebraists, ring theorists, logicians, model theorists and representation theorists, should find this an absorbing and stimulating book.
Christian. U Jensen (University of Copenhagen, Denmark) (Author) , Helmt Lenzing (Paderborn University, Germany) (Author)

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