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@article{AL_2011_50_2_a3, author = {A. G. Pinus}, title = {New algebraic invariants for definable subsets in universal algebra}, journal = {Algebra i logika}, pages = {209--230}, publisher = {mathdoc}, volume = {50}, number = {2}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2011_50_2_a3/} }
A. G. Pinus. New algebraic invariants for definable subsets in universal algebra. Algebra i logika, Tome 50 (2011) no. 2, pp. 209-230. http://geodesic.mathdoc.fr/item/AL_2011_50_2_a3/
[1] I. R. Shafarevich, Osnovy algebraicheskoi geometrii, Nauka, M., 1972 | Zbl
[2] R. Khartskhorn, Algebraicheskaya geometriya, Mir, M., 1981
[3] B. I. Plotkin, “Nekotorye ponyatiya algebraicheskoi geometrii v universalnoi algebre”, Algebra i analiz, 9:4 (1997), 224–248 | MR | Zbl
[4] B. Plotkin, “Some results and problems related to universal algebraic geometry”, Int. J. Algebra Comput., 17:5/6 (2007), 1133–1164 | DOI | MR | Zbl
[5] 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
[6] A. Myasnikov, V. Remeslennikov, “Algebraic geometry over groups. II. Logical foundations”, J. Algebra, 234:1 (2000), 225–276 | DOI | MR | Zbl
[7] 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
[8] E. Daniyarova, A. Myasnikov, V. Remeslennikov, “Algebraic geometry over algebraic structures. Foundations”, J. Algebra, (submitted), arXiv: 1002.3562v2[mathAG]
[9] B. Plotkin, G. Zhitomirski, “Some logical invariants of algebras and logical relations between algebras”, Algebra i analiz, 19:5 (2007), 214–245 | MR
[10] B. Plotkin, Unityped algebras, preprint
[11] A. G. Pinus, “Uslovnye termy i ikh prilozheniya v algebre i teorii vychislenii”, Uspekhi matem. n., 56:4(340) (2001), 35–72 | MR | Zbl
[12] A. G. Pinus, Uslovnye termy i ikh primenenie v algebre i teorii vychislenii, Izd-vo NGTU, Novosibirsk, 2002
[13] A. G. Pinus, “Geometricheskie shkaly mnogoobrazii i kvazitozhdestva”, Matem. tr., 12:2 (2009), 160–169 | MR
[14] S. Burris, H. P. Sankappanavar, A course in universal algebra, Springer-Verlag, New York, 1981
[15] V. A. Artamonov, V. N. Salii, L. A. Skornyakov i dr., Obschaya algebra, v. 2, ed. L. A. Skornyakov, Nauka, M., 1991
[16] A. G. Pinus, Osnovy universalnoi algebry, Izd-vo NGTU, Novosibirsk, 2005
[17] V. A. Gorbunov, Algebraicheskaya teoriya kvazimnogoobrazii, Sibirskaya shkola algebry i logiki, Nauch. kniga, Novosibirsk, 1999 | Zbl
[18] V. V. Bludov, B. V. Gusev, “Geometricheskaya ekvivalentnost grupp”, Tr. In-ta matem. mekhan. UrO RAN, 13, no. 1, 2007, 57–78 | MR
[19] A. G. Pinus, “Ob algebrakh, izomorfnykh lyuboi svoei podalgebre”, Vestnik NGU, 9:3 (2009), 115–119
[20] A. G. Pinus, “O geometricheski blizkikh algebrakh”, Algebra i teoriya modelei, 8, Izd-vo NGTU, Novosibirsk, 2009, 85–95
[21] A. G. Pinus, Boolean constructions in universal algebra, Kluwer Acad. Publ., Dordrecht–Boston–London, 1993 | Zbl
[22] A. G. Pinus, “Bulevy konstruktsii v universalnoi algebre”, Uspekhi matem. n., 47:4(286) (1992), 145–180 | MR | Zbl