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@article{AL_2010_49_6_a1, author = {\'E Yu. Daniyarova and A. G. Myasnikov and V. N. Remeslennikov}, title = {Algebraic geometry over algebraic {structures.~IV.} {Equational} domains and codomains}, journal = {Algebra i logika}, pages = {715--756}, publisher = {mathdoc}, volume = {49}, number = {6}, year = {2010}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2010_49_6_a1/} }
TY - JOUR AU - É Yu. Daniyarova AU - A. G. Myasnikov AU - V. N. Remeslennikov TI - Algebraic geometry over algebraic structures.~IV. Equational domains and codomains JO - Algebra i logika PY - 2010 SP - 715 EP - 756 VL - 49 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AL_2010_49_6_a1/ LA - ru ID - AL_2010_49_6_a1 ER -
%0 Journal Article %A É Yu. Daniyarova %A A. G. Myasnikov %A V. N. Remeslennikov %T Algebraic geometry over algebraic structures.~IV. Equational domains and codomains %J Algebra i logika %D 2010 %P 715-756 %V 49 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/AL_2010_49_6_a1/ %G ru %F AL_2010_49_6_a1
É Yu. Daniyarova; A. G. Myasnikov; V. N. Remeslennikov. Algebraic geometry over algebraic structures.~IV. Equational domains and codomains. Algebra i logika, Tome 49 (2010) no. 6, pp. 715-756. http://geodesic.mathdoc.fr/item/AL_2010_49_6_a1/
[1] E. Daniyarova, A. Myasnikov, V. Remeslennikov, “Unification theorems in algebraic geometry”, Aspects of infinite groups. A Festschrift in honor of A. Gaglione, Papers of the conf. in honour of A. Gaglione's 60th birthday (Fairfield, USA, March 2007), Algebra Discr. Math. (Hackensack), 1, eds. B. Fine et al., World Sci., Hackensack, NJ, 2008, 80–111 | MR | Zbl
[2] E. Daniyarova, A. Miasnikov, V. Remeslennikov, Algebraic geometry over algebraic structures. II: Foundations, submitted to J. Algebra, arXiv: 1002.3562v2[math.AG]
[3] E. Daniyarova, A. Miasnikov, V. Remeslennikov, Algebraic geometry over algebraic structures. III: Equationally Noetherian property and compactness, submitted to South. Asian Bull. Math., arXiv: 1002.4243v2[math.AG]
[4] R. Khartskhorn, Algebraicheskaya geometriya, Mir, M., 1970
[5] I. R. Shafarevich, Osnovy algebraicheskoi geometrii, MTsNMO, M., 2007
[6] G. Baumslag, A. Myasnikov, V. Remeslennikov, “Algebraic geometry over groups. I: Algebraic sets and ideal theory”, J. Algebra, 219:1 (1999), 16–79 | DOI | MR | Zbl
[7] G. Baumslag, A. Myasnikov, V. Remeslennikov, “Discriminating and codiscriminating groups”, J. Group Theory, 3:4 (2000), 467–479 | DOI | MR | Zbl
[8] V. A. Gorbunov, Algebraicheskaya teoriya kvazimnogoobrazii, Sib. shkola algebry i logiki, Nauchnaya kniga (IDMI), Novosibirsk, 1999 | Zbl
[9] E. Yu. Daniyarova, V. N. Remeslennikov, “Ogranichennaya algebraicheskaya geometriya nad svobodnoi algebroi Li”, Algebra i logika, 44:3 (2005), 269–304 | MR | Zbl
[10] I. V. Chirkov, M. A. Shevelin, “Deliteli nulya v svobodnykh proizvedeniyakh algebr Li s ob'edineniem”, Sib. matem. zh., 45:1 (2004), 229–238 | MR | Zbl
[11] V. N. Latyshev, “O delitelyakh nulya v konechnomernykh antikommutativnykh algebrakh”, Izv. vuzov. Matem., 1961, no. 2, 100–108 | MR | Zbl
[12] V. T. Filippov, “Pervichnye algebry Maltseva”, Matem. zametki, 31:5 (1982), 669–678 | MR | Zbl
[13] K. A. Zhevlakov, A. M. Slinko, I. P. Shestakov, A. I. Shirshov, Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl
[14] S. V. Pchelintsev, “Pervichnye alternativnye algebry i absolyutnye deliteli nulya”, Izv. RAN. Ser. matem., 50:1 (1986), 79–100 | MR | Zbl
[15] I. P. Shestakov, “Absolyutnye deliteli nulya i radikaly konechno porozhdënnykh alternativnykh algebr”, Algebra i logika, 15:5 (1976), 585–602 | MR | Zbl
[16] M. Casals-Ruiz, I. Kazachkov, “Elements of algebraic geometry and the positive theory of partially commutative groups”, Can. J. Math., 62:3 (2010), 481–519, arXiv: 0710.4077v2[math.GR] | DOI | MR | Zbl
[17] A. Yu. Ol'shanskii, “On residualing homomorphisms and G-subgroups of hyperbolic groups”, Int. J. Algebra Comput., 3:4 (1993), 365–409 | DOI | MR
[18] A. Myasnikov, V. Remeslennikov, “Algebraic geometry over groups. II: Logical foundations”, J. Algebra, 234:1 (2000), 225–276 | DOI | MR | Zbl
[19] P. Morar, A. Shevlyakov, “Algebraic geometry over additive positive monoids. Systems of coefficient free equations”, Combinatorial and geometric group theory, Dortmund Carleton Conf., 2010, 261–278 | Zbl
[20] A. N. Shevlyakov, “Algebraic geometry over natural numbers. The classification of coordinate monoids”, Groups, Complex. Cryptol., 2:1 (2010), 91–111 | DOI | MR | Zbl