%0 Journal Article %T Unification theorems in algebraic geometry %A E. Daniyarova %A A. Myasnikov %A V. Remeslennikov %J Mathematics %D 2008 %I arXiv %X In this paper, for a given finitely generated algebra (an algebraic structure with arbitrary operations and no predicates) A we study finitely generated limit algebras of A, approaching them via model theory and algebraic geometry. Along the way we lay down foundations of algebraic geometry over arbitrary algebraic structures. %U http://arxiv.org/abs/0808.2522v1