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Эта публикация цитируется в 53 научных статьях (всего в 53 статьях)
Сверхтождества в алгебрах и многообразиях
Ю. М. Мовсисян
Ереванский государственный университет
DOI:
https://doi.org/10.4213/rm9
 Полный текст:
PDF файл (519 kB)
Список литературы:
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Англоязычная версия:
Russian Mathematical Surveys, 1998, 53:1, 57–108
Реферативные базы данных:
    
УДК:
512.57+512.8
MSC: 08Bxx, 08C05, 17C27
Поступила в редакцию: 30.01.1997
Образец цитирования:
Ю. М. Мовсисян, “Сверхтождества в алгебрах и многообразиях”, УМН, 53:1(319) (1998), 61–114; Russian Math. Surveys, 53:1 (1998), 57–108
Цитирование в формате AMSBIB
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http://mi.mathnet.ru/umn9https://doi.org/10.4213/rm9 http://mi.mathnet.ru/rus/umn/v53/i1/p61
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
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С. Н. Тронин, “Операды в категории конвексоров. I”, Изв. вузов. Матем., 2002, № 3, 42–50
  ; S. N. Tronin, “Operads in the category of convexors. I”, Russian Math. (Iz. VUZ), 46:3 (2002), 38–46 -
С. С. Давидов, “Линейные представления бинарных абелевых алгебр”, Уч. записки ЕГУ, сер. Физика и Математика, 2005, № 3, 58–63
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Л. Р. Нурбекян, “Теорема Кэли для алгебр Дэ Моргана”, Уч. записки ЕГУ, сер. Физика и Математика, 2006, № 3, 136–138
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Smith, JDH, “Evans' normal form theorem revisited”, International Journal of Algebra and Computation, 17:8 (2007), 1577
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С. С. Давидов, “Коммутативные абелевые алгебры”, Уч. записки ЕГУ, сер. Физика и Математика, 2007, № 3, 44–51
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Movsisyan Yu., Toghanyan V., “On t-stochastic algebras”, Aequationes Mathematicae, 76:3 (2008), 241–248
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С. С. Давидов, “О парастрофах абелевых обратимых алгебр”, Уч. записки ЕГУ, сер. Физика и Математика, 2008, № 3, 39–43
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Movsisyan, YM, “BINARY REPRESENTATIONS OF ALGEBRAS WITH AT MOST TWO BINARY OPERATIONS. A CAYLEY THEOREM FOR DISTRIBUTIVE LATTICES”, International Journal of Algebra and Computation, 19:1 (2009), 97
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H. E. Ghumashyan, “On $\{2,3\}$-hyperidentities in invertible $\{2,3\}$-algebras with a binary group operation”, Уч. записки ЕГУ, сер. Физика и Математика, 2009, № 3, 37–41
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A. M. Gevorgyan, “On $q$-lattices and $q$-algebras”, Уч. записки ЕГУ, сер. Физика и Математика, 2009, № 1, 29–35
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Pashazadeh J., Movsisyan Yu., “Characterization of Ternary Algebraic Operations of Idempotent Algebras”, Internat J Algebra Comput, 20:8 (2010), 991–999
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Amir Ehsani, “On a generalized entropic property”, Уч. записки ЕГУ, сер. Физика и Математика, 2010, № 2, 55–57
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Ю. М. Мовсисян, “Бирешетки и сверхтождества”, Алгоритмические вопросы алгебры и логики, Сборник статей. К 80-летию со дня рождения академика Сергея Ивановича Адяна, Тр. МИАН, 274, МАИК «Наука/Интерпериодика», М., 2011, 191–209 ; Yu. M. Movsisyan, “Bilattices and hyperidentities”, Proc. Steklov Inst. Math., 274 (2011), 174–192
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Movsisyan Yu.M., Hakobyan T.A., “Distributive Hyperidentities in Semigroups”, Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 46:6 (2011), 293–298
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Pashazadeh J., Movsisyan Yu.M., “A Characterization of Triple Semigroup of Ternary Functions and Demorgan Triple Semigroup of Ternary Functions”, Bulletin of the Iranian Mathematical Society, 37:1 (2011), 29–41
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Movsisyan Yu.M., Hakobyan T.A., “Associative Nontrivial Hyperidentities in Semigroups”, Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 46:3 (2011), 121–130
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Davidov S.S., “Commutative medial ternary groupoids”, Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 46:4 (2011), 183–199
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Nazari E.M., “Invertible medial algebras and a group of operations”, Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 46:2 (2011), 101–105
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Ehsani A., “The generalized entropic property for a pair of operations”, Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 46:1 (2011), 56–60
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Amir Ehsani, “The generalized entropic property for the mono-$n$-ary algebra”, Уч. записки ЕГУ, сер. Физика и Математика, 2011, № 2, 63–66
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D. S. Davidova, “On $q$-bilattices”, Уч. записки ЕГУ, сер. Физика и Математика, 2011, № 3, 9–16
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Nazari E. Movsisyan Yu.M., “A Cayley Theorem for the Multiplicative Semigroup of a Field”, J. Algebra. Appl., 11:2 (2012), 1250042
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Movsisyan Yu.M. Aslanyan V.A., “Hyperidentities of de Morgan Algebras”, Log. J. IGPL, 20:6 (2012), 1153–1174
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С. С. Давидов, “О разрешимости эквациональной теории коммутативных медиальных $n$-арных группоидов”, Дискрет. матем., 25:1 (2013), 121–136 ; S. S. Davidov, “On the solvability of the equational theory of commutative medial $n$-ary groupoids”, Discrete Math. Appl., 23:2 (2013), 125–143
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Movsisyan Yu.M., Aslanyan V.A., “Algebras with Hyperidentities of the Variety of de Morgan Algebras”, J. Contemp. Math. Anal.-Armen. Aca., 48:5 (2013), 233–240
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Ehsani A. Movsisyan Yu., “Linear Representation of Medial-Like Algebras”, Commun. Algebr., 41:9 (2013), 3429–3444
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Movsisyan Yu.M., Aslanyan V.A., “Subdirectly Irreducible Algebras with Hyperidentities of the Variety of de Morgan Algebras”, J. Contemp. Math. Anal.-Armen. Aca., 48:6 (2013), 241–246
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Movsisyan Yu.M. Aslanyan V.A., “A Functional Completeness Theorem for de Morgan Functions”, Discrete Appl. Math., 162 (2014), 1–16
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П. С. Геворкян, “О бинарных $G$-пространствах”, Матем. заметки, 96:4 (2014), 623–626 ; P. S. Gevorgyan, “On Binary $G$-Spaces”, Math. Notes, 96:4 (2014), 600–602
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Movsisyan Yu.M. Aslanyan V.A., “Super-de Morgan Functions and Free de Morgan Quasilattices”, Cent. Eur. J. Math., 12:12 (2014), 1749–1761
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Pashazadeh J., Movsisyan Yu., “Matrix Characterization of 4-Ary Algebraic Operations of Idempotent Algebras”, Commun. Algebr., 42:6 (2014), 2533–2543
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Ehsani A., “Characterization of Regular Medial Algebras”, Scienceasia, 40:2 (2014), 175–181
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Movsisyan Yu.M., Aslanyan V.A., “Boole-de Morgan Algebras and Quasi-de Morgan Functions”, Commun. Algebr., 42:11 (2014), 4757–4777
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С. С. Давидов, “Свободные коммутативные медиальные $n$-арные группоиды”, Дискрет. матем., 27:1 (2015), 34–43 ; S. S. Davidov, “Free commutative medial $n$-ary groupoids”, Discrete Math. Appl., 25:4 (2015), 203–210
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Davidova D.S., Movsisyan Yu.M., “Hyperidentities of weakly idempotent lattices”, Izv. Nats. Akad. Nauk Armenii Mat., 50:6 (2015), 259–264 ; Davidova D.S., Movsisyan Yu.M., “Hyperidentities of weakly idempotent lattices”, J. Contemp. Math. Anal., 50:6 (2015), 259–264
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Movsisyan Yu., Davidova D., “a Complete Characterization of Hyperidentities of the Variety of Weakly Idempotent Lattices”, Tenth International Conference on Computer Science and Information Technologies Revised Selected Papers CSIT-2015, ред. Shoukourian S., IEEE, 2015, 41–43
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Amir Ehsani, Aleksandar Krapež, Yuri Movsisyan, “Algebras with parastrophically uncancellable quasigroup equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 1, 41–63
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T. A. Hakobyan, “Transitive hyperidentity in semigroups”, Уч. записки ЕГУ, сер. Физика и Математика, 2016, № 3, 52–55
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Davidov S., “On paramedial division groupoids”, Asian-Eur. J. Math., 9:1 (2016), UNSP 1650008
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Margarov G., Markosyan M., Alaverdyan Y., “Real Time Streaming Algorithm”, Meeting Security Challenges Through Data Analytics and Decision Support, Nato Science For Peace and Security Series D-Information and Communication Security, 47, eds. Shahbazian E., Rogova G., Ios Press, 2016, 248–255
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Alaverdyan Y., “Efficiency of Generating Highly Nonlinear Boolean Functions Over Quasigroups”, Meeting Security Challenges Through Data Analytics and Decision Support, Nato Science For Peace and Security Series D-Information and Communication Security, 47, eds. Shahbazian E., Rogova G., Ios Press, 2016, 256–263
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Hakobyan T.A. Movsisyan Yu.M., “Artin theorem for semigroups”, J. Algebra. Appl., 16:2 (2017), 1750034
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Movsisyan Yu.M., “Hyperidentities and Related Concepts, i”, Armen. J. Math., 9:2 (2017), 146–222
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Yuri Movsisyan, “Dickson's theorem for Bol loops”, Algebra Discrete Math., 24:2 (2017), 297–301
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Movsisyan Yu., “On Belousov Quasigroups and Bigroups”, 2017 Eleventh International Conference on Computer Science and Information Technologies (Csit), ed. Shoukourian S., IEEE, 2017, 21–22
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Davidov S., “A Characterization of Invertible Algebras Linear Over a Group By Second-Order Formulas”, J. Algebra. Appl., 16:12 (2017), 1750238
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Shcherbacov V., “Elements of Quasigroup Theory and Applications”, Elements of Quasigroup Theory and Applications, Monographs and Research Notes in Mathematics, Crc Press-Taylor & Francis Group, 2017, 1–576
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Davidov S. Krapez A. Movsisyan Yu., “Functional Equations With Division and Regular Operations”, Asian-Eur. J. Math., 11:3 (2018), 1850033
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Movsisyan Yu.M., “Hyperidentities and Related Concepts, II”, Armen. J. Math., 10:4 (2018), 1–85
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Zhuchok A.V., “Structure of Free Strong Doppelsemigroups”, Commun. Algebr., 46:8 (2018), 3262–3279
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Movsisyan Yu., “On Functional Equations and Distributive Second Order Formulae With Specialized Quantifiers”, Algebra Discret. Math., 25:2 (2018), 269–285
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С. С. Давидов, “О структуре медиальных делимых $n$-арных группоидов”, Матем. заметки, 104:1 (2018), 33–44 ; S. S. Davidov, “On the Structure of Medial Divisible $n$-Ary Groupoids”, Math. Notes, 104:1 (2018), 29–38
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Zhuchok V A., Knauer K., “Abelian Doppelsemigroups”, Algebra Discret. Math., 26:2 (2018), 290–304
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