Algebraic geometry over algebraic structures.~II. Foundations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 1, pp. 65-106
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In this paper, we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove so-called unification theorems which describe coordinate algebras of algebraic sets in several different ways.
@article{FPM_2012_17_1_a4,
author = {E. Yu. Daniyarova and A. G. Myasnikov and V. N. Remeslennikov},
title = {Algebraic geometry over algebraic {structures.~II.} {Foundations}},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {65--106},
publisher = {mathdoc},
volume = {17},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a4/}
}
TY - JOUR AU - E. Yu. Daniyarova AU - A. G. Myasnikov AU - V. N. Remeslennikov TI - Algebraic geometry over algebraic structures.~II. Foundations JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2012 SP - 65 EP - 106 VL - 17 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a4/ LA - ru ID - FPM_2012_17_1_a4 ER -
%0 Journal Article %A E. Yu. Daniyarova %A A. G. Myasnikov %A V. N. Remeslennikov %T Algebraic geometry over algebraic structures.~II. Foundations %J Fundamentalʹnaâ i prikladnaâ matematika %D 2012 %P 65-106 %V 17 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a4/ %G ru %F FPM_2012_17_1_a4
E. Yu. Daniyarova; A. G. Myasnikov; V. N. Remeslennikov. Algebraic geometry over algebraic structures.~II. Foundations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 1, pp. 65-106. http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a4/