Geodesic
Algebras with identical algebraic sets
Algebra i logika, Tome 54 (2015) no. 4, pp. 493-502

Voir la notice de l'article provenant de la source Math-Net.Ru

We look into the relationship between the so-called additive universal algebras $\mathfrak A_0=\langle A;\sigma_0\rangle$ and $\mathfrak A_1=\langle A;\sigma_1\rangle$ with common universe $A$ having the same algebraic sets ($\operatorname{Alg}_n\mathfrak A_0=\operatorname{Alg}_n\mathfrak A_1$ for any $n\in\omega$) and subalgebras ($\operatorname{Sub}\mathfrak A_0=\operatorname{Sub}\mathfrak A_1$).
Keywords: algebraic geometry of universal algebras, algebraic set, additive universal algebra. 
@article{AL_2015_54_4_a4,
     author = {A. G. Pinus},
     title = {Algebras with identical algebraic sets},
     journal = {Algebra i logika},
     pages = {493--502},
     publisher = {mathdoc},
     volume = {54},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2015_54_4_a4/}
}
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A. G. Pinus. Algebras with identical algebraic sets. Algebra i logika, Tome 54 (2015) no. 4, pp. 493-502. http://geodesic.mathdoc.fr/item/AL_2015_54_4_a4/