Geodesic
Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 201-222

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In the paper the main attention is paid to conditions on algebras from a given variety which provide coincidence of their algebraic geometries. The main part here play the notions mentioned in the title of the paper. 
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     author = {B. I. Plotkin},
     title = {Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {201--222},
     publisher = {mathdoc},
     volume = {330},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a10/}
}
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B. I. Plotkin. Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 201-222. http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a10/