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44 p, 390.5 KB Elements of algebraic geometry and the positive theory of partially commutative groups / Casals-Ruiz, Montserrat ; Kazachkov, Ilya v. ; Centre de Recerca Matemàtica
The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). [...]
Centre de Recerca Matemàtica 2007 (Prepublicacions del Centre de Recerca Matemàtica ; 771)  

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