Definability of a Field in Sufficiently Rich Incidence Systems PDF Download
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Author: E. D. Rabinovich
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 124
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Book Description
Author: E. D. Rabinovich
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 124
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Book Description
Author: David Marker
Publisher: Cambridge University Press
ISBN: 1107168074
Category : Mathematics
Languages : en
Pages : 165
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Book Description
This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.
Author: Olivier Frécon
Publisher: American Mathematical Soc.
ISBN: 1470429233
Category : Mathematics
Languages : en
Pages : 112
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Book Description
The author analyzes the abstract structure of algebraic groups over an algebraically closed field . For of characteristic zero and a given connected affine algebraic Q -group, the main theorem describes all the affine algebraic Q -groups such that the groups and are isomorphic as abstract groups. In the same time, it is shown that for any two connected algebraic Q -groups and , the elementary equivalence of the pure groups and implies that they are abstractly isomorphic. In the final section, the author applies his results to characterize the connected algebraic groups, all of whose abstract automorphisms are standard, when is either Q or of positive characteristic. In characteristic zero, a fairly general criterion is exhibited.
Author: Carl D. Murray
Publisher:
ISBN:
Category : Orbital mechanics
Languages : en
Pages : 460
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 38
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Author: Othon C. Winter
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 414
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Book Description
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 2000
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Author: Anand Pillay
Publisher: World Scientific
ISBN: 9811243824
Category : Mathematics
Languages : en
Pages : 151
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Book Description
This book has two chapters. The first is a modern or contemporary account of stability theory. A focus is on the local (formula-by-formula) theory, treated a little differently from in the author's book Geometric Stability Theory. There is also a survey of general and geometric stability theory, as well as applications to combinatorics (stable regularity lemma) using pseudofinite methods.The second is an introduction to 'continuous logic' or 'continuous model theory,' drawing on the main texts and papers, but with an independent point of view. This chapter includes some historical background, including some other formalisms for continuous logic and a discussion of hyperimaginaries in classical first order logic.These chapters are based around notes, written by students, from a couple of advanced graduate courses in the University of Notre Dame, in Autumn 2018, and Spring 2021.
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696
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Author:
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 3116
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