Displaying similar documents to “Some model theory of simple algebraic groups over algebraically closed fields”

Relative geometries

Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner (2015)

Journal of the European Mathematical Society

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In this paper, we shall study type-definable groups in a simple theory with respect to one or several stable reducts. While the original motivation came from the analysis of definable groups in structures obtained by Hrushovski's amalgamation method, the notions introduced are in fact more general, and in particular can be applied to certain expansions of algebraically closed fields by operators.

Hypersatisfaction of formulas in agebraic systems

Klaus Denecke, Dara Phusanga (2009)

Discussiones Mathematicae - General Algebra and Applications

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In [2] the theory of hyperidentities and solid varieties was extended to algebraic systems and solid model classes of algebraic systems. The disadvantage of this approach is that it needs the concept of a formula system. In this paper we present a different approach which is based on the concept of a relational clone. The main result is a characterization of solid model classes of algebraic systems. The results will be applied to study the properties of the monoid of all hypersubstitutions...

An essay on model theory

Ludomir Newelski (2003)

Open Mathematics

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Some basic ideas of model theory are presented and a personal outlook on its perspectives is given.