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• W2044952079 abstract "Using an analogue of Makanin-Razborov diagrams, we give a description of the solution set of systems of equations over an equationally Noetherian free product of groups $G$. Equivalently, we give a parametrisation of the set $Hom(H, G)$ of all homomorphisms from a finitely generated group $H$ to $G$. Furthermore, we show that every algebraic set over $G$ can be decomposed as a union of finitely many images of algebraic sets of NTQ systems. If the universal Horn theory of $G$ (the theory of quasi-identities) is decidable, then our constructions are effective." @default.
• W2044952079 created "2016-06-24" @default.
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• W2044952079 date "2009-03-12" @default.
• W2044952079 modified "2023-09-27" @default.
• W2044952079 title "On Systems of Equations over Free Products of Groups" @default.
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