Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AL_2019_58_2_a2, author = {A. V. Kravchenko and A. M. Nurakunov and M. V. Schwidefsky}, title = {Structure of quasivariety lattices. {II.} {Undecidable} problems}, journal = {Algebra i logika}, pages = {179--199}, publisher = {mathdoc}, volume = {58}, number = {2}, year = {2019}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2019_58_2_a2/} }
TY - JOUR AU - A. V. Kravchenko AU - A. M. Nurakunov AU - M. V. Schwidefsky TI - Structure of quasivariety lattices. II. Undecidable problems JO - Algebra i logika PY - 2019 SP - 179 EP - 199 VL - 58 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AL_2019_58_2_a2/ LA - ru ID - AL_2019_58_2_a2 ER -
A. V. Kravchenko; A. M. Nurakunov; M. V. Schwidefsky. Structure of quasivariety lattices. II. Undecidable problems. Algebra i logika, Tome 58 (2019) no. 2, pp. 179-199. http://geodesic.mathdoc.fr/item/AL_2019_58_2_a2/
[1] A. V. Kravchenko, A. M. Nurakunov, M. V. Shvidefski, “O stroenii reshetok kvazimnogoobrazii. I. Nezavisimaya aksiomatiziruemost”, Algebra i logika, 57:6 (2018), 684–710 | MR
[2] A. Basheyeva, A. Nurakunov, M. Schwidefsky, A. Zamojska-Dzienio, “Lattices of subklasses. III”, Sib. elektron. matem. izv., 14 (2017), 252–263 http://semr.math.nsc.ru/v14/p252-263.pdf | MR | Zbl
[3] A. I. Maltsev, Algebraicheskie sistemy, Nauka, M., 1970 | MR
[4] W. Dziobiak, Selected topics in quasivarieties of algebraic systems, Manuscript of the lecture notes delivered at the Workshop on Comput. Algebra and Appl. to Semigroup Theory (the Center of Algebra of Lisbon Univ., Portugal, 17–21 November, 1997), 61 pp.
[5] V. A. Gorbunov, Algebraicheskaya teoriya kvazimnogoobrazii, Sibirskaya shkola algebry i logiki, Nauch. kniga, Novosibirsk, 1999
[6] S. S. Goncharov, Yu. L. Ershov, Konstruktivnye modeli, Sibirskaya shkola algebry i logiki, Nauch. kniga, Novosibirsk, 1999
[7] V. K. Kartashov, “Kvazimnogoobraziya unarov s konechnym chislom tsiklov”, Algebra i logika, 19:2 (1980), 173–193 | MR
[8] S. V. Sizyi, “Kvazimnogoobraziya grafov”, Sib. matem. zh., 35:4 (1994), 879–892 | MR
[9] V. A. Gorbunov, “Pokrytiya v reshetkakh kvazimnogoobrazii i nezavisimaya aksiomatiziruemost”, Algebra i logika, 16:5 (1977), 507–548 | MR | Zbl
[10] V. Yu. Popov, “O nezavisimo razbivaemykh sistemakh kvazitozhdestv”, Izv. UrGU, ser. Matem., mekh. Kompyuter. n., 2005, no. 36, 139–144 | Zbl
[11] A. V. Kravchenko, “O reshetochnoi slozhnosti kvazimnogoobrazii grafov i endografov”, Algebra i logika, 36:3 (1997), 273–281 | MR | Zbl
[12] M. E. Adams, W. Dziobiak, “${\mathcal Q}$-universal quasivarieties of algebras”, Proc. Am. Math. Soc., 120:4 (1994), 1053–1059 | MR | Zbl
[13] M. S. Sheremet, “Quasivarieties of Cantor algebras”, Algebra Univers., 46:1/2 (2001), 193–201 | DOI | MR | Zbl
[14] A. M. Nurakunov, “Reshetki kvazimnogoobrazii tochechnykh abelevykh grupp”, Algebra i logika, 53:3 (2014), 372–400 | MR | Zbl
[15] R. Freese, “Projective geometries as projective modular lattices”, Trans. Am. Math. Soc., 251:2 (1979), 329–342 | DOI | MR | Zbl
[16] G. Grettser, Obschaya teoriya reshetok, Mir, M., 1982
[17] M. E. Adams, W. Dziobiak, “Finite-to-finite universal quasivarieties are ${\mathcal Q}$-universal”, Algebra Univers, 46:1/2 (2001), 253–283 | DOI | MR | Zbl
[18] P. Goralčík, V. Koubek, J. Sichler, “Universal varieties of $(0,1)$-lattices”, Can. J. Math., 42:3 (1990), 470–490 | DOI | MR | Zbl
[19] M. E. Adams, W. Dziobiak, “The lattice of quasivarieties of undirected graphs”, Algebra Univers, 47:1 (2002), 7–11 | DOI | MR | Zbl
[20] A. V. Kravchenko, “${\mathcal Q}$-universalnye kvazimnogoobraziya grafov”, Algebra i logika, 41:3 (2002), 311–325 | MR | Zbl
[21] V. Dzebyak, “Kvazimnogoobraziya polureshetok Sugikhara s involyutsiei”, Algebra i logika, 39:1 (2000), 47–65 | MR
[22] M. E. Adams, V. Koubek, J. Sichler, “Homomorphisms and endomorphisms of distributive lattices”, Houston J. Math., 11 (1985), 129–145 | MR | Zbl
[23] A. V. Kravchenko, A. V. Yakovlev, “Kvazimnogoobraziya grafov i nezavisimaya baziruemost”, Matem. tr., 20:2 (2017), 80–89 | Zbl
[24] A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “On quasi-equational bases for differential groupoids and unary algebras”, Sib. elektron. matem. izv., 14 (2017), 1330–1337 http://semr.math.nsc.ru/v14/p1330-1337.pdf | MR | Zbl
[25] A. V. Kravchenko, “O slozhnosti reshetok kvazimnogoobrazii dlya mnogoobrazii unarnykh algebr. II”, Sib. elektron. matem. izv., 13 (2016), 388–394 http://semr.math.nsc.ru/v13/p388-394.pdf | Zbl
[26] A. Romanowska, J. D. H. Smith, Modes, World Scientific, Singapore, 2002 | MR | Zbl
[27] A. V. Kravchenko, “Slozhnost reshetok kvazimnogoobrazii dlya mnogoobrazii unarnykh algebr”, Matem. tr., 4:2 (2001), 113–127 | MR | Zbl
[28] L. V. Shabunin, “Teorema vlozheniya dlya mnogoobrazii Kantora”, Algebra i logika, 40:3 (2001), 352–369 | MR | Zbl
[29] A. V. Kravchenko, “Slozhnost reshetok kvazimnogoobrazii dlya mnogoobrazii differentsialnykh gruppoidov”, Matem. tr., 12:1 (2009), 26–39 | MR | Zbl
[30] M. V. Shvidefski, “O slozhnosti reshetok kvazimnogoobrazii”, Algebra i logika, 54:3 (2015), 381–398 | MR
[31] A. M. Nurakunov, “Unreasonable lattices of quasivarieties”, Internat. J. Algebra Comput., 22:3 (2012), 1250006, 17 pp. | DOI | MR | Zbl