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

Christian.U Jensen (Autor)

Buch | Hardcover

458 Seiten

1989
Gordon & Breach Science Publishers SA (Verlag)
978-2-88124-717-0 (ISBN)

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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)

Introduction, ultraproducts, definitions and examples; elementary equivalence - axiomatizable and finitely axiomatizable classes - examples and results in field theory; elementary definability - applications to polynomial and power series rings and their quotient fields; peano rings and peano fields; hilbertian fields and realizations of finite groups as galois groups; the language of modules over a fixed ring; algebraically compact modules; decompositions and algebraic compactness; the two sorted language of modules over unspecified rings; the first order theory of rings; pure global dimension and algebraically compact rings; representation theory of finite dimensional algebras; problems; tables; basic notions and definitions from homological algebra; functor categories on finitely presented modules.

Erscheint lt. Verlag	26.7.1989
Reihe/Serie	Algebra, Logic and Applications
Sprache	englisch
Maße	152 x 229 mm
Gewicht	816 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	2-88124-717-2 / 2881247172
ISBN-13	978-2-88124-717-0 / 9782881247170
Zustand	Neuware