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Algebraic geometry over algebraic structures. IV. Equational domains and codomains |
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| Authors: | É Yu Daniyarova A G Myasnikov V N Remeslennikov |
| Institution: | 1.Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch,Russian Academy of Sciences,Omsk,Russia;2.Schaefer School of Engineering and Science, Department of Mathematical Sciences,Stevens Institute of Technology, Castle Point on Hudson,Hoboken,USA;3.Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch,Russian Academy of Sciences,Omsk,Russia |
| Abstract: | We introduce and study equational domains and equational codomains. Informally, an equational domain is an algebra every finite union of algebraic sets over which is an algebraic set; an equational codomain is an algebra every proper finite union of algebraic sets over which is not an algebraic set. |
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