Edit Profile (opens in new tab) Solovyov, Sergey A. Compute Distance To: Compute Author ID: solovyov.sergey-a Published as: Solovyov, Sergey A.; Solovjovs, Sergejs; Solovyov, Sergey; Solovyov, S. External Links: MGP · Wikidata · ResearchGate Documents Indexed: 59 Publications since 2003, including 3 Books Reviewing Activity: 113 Reviews Co-Authors: 7 Co-Authors with 10 Joint Publications 129 Co-Co-Authors all top 5 Co-Authors 49 single-authored 4 Paseka, Jan 3 Denniston, Jeffrey T. 3 Guido, Cosimo 3 Melton, Austin C. jun. 3 Rodabaugh, Stephen Ernest 3 Stehlík, Milan 2 Frascella, Anna all top 5 Serials 20 Fuzzy Sets and Systems 5 Iranian Journal of Fuzzy Systems 4 Soft Computing 2 Algebra Universalis 2 Quaestiones Mathematicae 2 Applied Categorical Structures 2 Discussiones Mathematicae. General Algebra and Applications 1 Journal of Mathematical Analysis and Applications 1 Demonstratio Mathematica 1 Kybernetika 1 Matematički Vesnik 1 Mathematica Slovaca 1 Bulletin of the Section of Logic 1 Glasnik Matematički. Serija III 1 Acta Universitatis Matthiae Belii. Series Mathematics 1 Proceedings of the Latvian Academy of Sciences. Section B. Natural, Exact, and Applied Sciences 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Hacettepe Journal of Mathematics and Statistics 1 Applied General Topology 1 Mathematics for Applications 1 Journal of Mathematics all top 5 Fields 45 Category theory; homological algebra (18-XX) 34 General topology (54-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 21 Mathematical logic and foundations (03-XX) 9 General algebraic systems (08-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 280 times in 91 Documents Cited by ▼ Year ▼ Sobriety and spatiality in varieties of algebras. Zbl 1177.54004Solovyov, Sergey A. 25 2008 Variable-basis topological systems versus variable-basis topological spaces. Zbl 1197.54018Solovyov, Sergey A. 23 2010 On the category \(Q\)-Mod. Zbl 1145.06008Solovyov, Sergey A. 20 2008 From quantale algebroids to topological spaces: fixed- and variable-basis approaches. Zbl 1193.54010Solovyov, Sergey A. 16 2010 A representation theorem for quantale algebras. Zbl 1147.06010Solovyov, Sergey A. 16 2008 Categorical foundations of variety-based topology and topological systems. Zbl 1241.54005Solovyov, Sergey A. 15 2012 On the category \(\mathcal {S}et(\mathcal {JCP}os)\). Zbl 1081.18007Solovyov, Sergey A. 15 2006 Categorical frameworks for variable-basis sobriety and spatiality. Zbl 1157.18002Solovyov, Sergey A. 12 2008 Localification of variable-basis topological systems. Zbl 1274.06043Solovyov, Sergey A. 10 2011 Powerset operator foundations for catalg fuzzy set theories. Zbl 1260.03098Solovyov, Sergey A. 10 2011 On a categorical generalization of the concept of fuzzy set. Basic definitions, properties, examples. Zbl 1291.18001Solovjovs, Sergejs 8 2008 Categories of lattice-valued sets as categories of arrows. Zbl 1090.18001Solovyov, Sergey A. 8 2006 Fuzzy algebras as a framework for fuzzy topology. Zbl 1225.54002Solovyov, Sergey A. 6 2011 Generalized fuzzy topology versus non-commutative topology. Zbl 1225.54003Solovyov, Sergey A. 6 2011 Dual attachment pairs in categorically-algebraic topology. Zbl 1251.54009Frascella, Anna; Guido, Cosimo; Solovyov, Sergey A. 6 2011 On a generalization of the concept of state property system. Zbl 1246.18002Solovyov, Sergey A. 6 2011 On algebraic and coalgebraic categories of variety-based topological systems. Zbl 1260.54020Solovyov, Sergey A. 6 2011 Hypergraph functor and attachment. Zbl 1207.18007Solovyov, Sergey A. 5 2010 Lattice-valued soft algebras. Zbl 1327.08003Solovyov, Sergey A. 5 2013 Categorically-algebraic dualities. Zbl 1223.08004Solovyov, Sergey A. 4 2010 Lattice-valued preordered sets as lattice-valued topological systems. Zbl 1360.54012Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2015 Lattice-valued topological systems as a framework for lattice-valued formal concept analysis. Zbl 1403.06009Solovyov, Sergey A. 4 2013 Algebraically-topological systems and attachments. Zbl 1335.54009Frascella, Anna; Guido, Cosimo; Solovyov, Sergey A. 4 2013 Sobriety and spatiality in categories of lattice-valued algebras. Zbl 1261.18003Solovyov, Sergey A. 3 2012 Categorically algebraic topology versus universal topology. Zbl 1294.54006Solovyov, Sergey A. 3 2013 Lattice-valued bornological systems. Zbl 1376.54011Paseka, Jan; Solovyov, Sergey A.; Stehlík, Milan 3 2015 Categorically-algebraic topology and its applications. Zbl 1406.54006Solovyov, Sergey A. 3 2015 Quantale algebras as a generalization of lattice-valued frames. Zbl 1373.06020Solovyov, Sergey A. 3 2016 Localification procedure for affine systems. Zbl 1326.18003Solovyov, Sergey A. 3 2015 A note on nuclei of quantale algebras. Zbl 1286.06028Solovyov, Sergey A. 3 2011 On fuzzification of the notion of quantaloid. Zbl 1218.06012Solovyov, S. 3 2010 Categorically-algebraic frameworks for Priestley duality. Zbl 1248.08003Solovyov, Sergey A. 2 2010 On monadic quantale algebras: basic properties and representation theorems. Zbl 1220.03052Solovyov, Sergey A. 2 2010 Composite variety-based topological theories. Zbl 1256.54030Solovyov, Sergey A. 2 2012 Functorial semantics of topological theories. Zbl 1408.54001Solovyov, Sergey A. 2 2015 On the category of lattice-valued bornological vector spaces. Zbl 1333.54019Paseka, Jan; Solovyov, Sergey A.; Stehlík, Milan 2 2014 On a generalization of Goguen’s category \({\mathcal S}et(L)\). Zbl 1107.18002Solovyov, Sergey A. 2 2007 On coproducts of quantale algebras. Zbl 1160.06007Solovyov, Sergey 2 2008 Topological systems as a framework for institutions. Zbl 1394.18002Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 2 2016 Completion of partially ordered sets. Zbl 1141.18005Solovyov, Sergey A. 1 2007 Topological systems versus attachment relations. Zbl 1426.54010Guido, Cosimo; Solovyov, Sergey A. 1 2014 Extended-order algebras as a generalization of posets. Zbl 1260.06007Solovyov, Sergey A. 1 2011 On limits and colimits of variety-based topological systems. Zbl 1237.18006Solovyov, Sergey A. 1 2011 Sierpinski object for affine systems. Zbl 1372.54007Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 1 2017 On ordered categories as a framework for fuzzification of algebraic and topological structures. Zbl 1182.18003Solovyov, Sergey A. 1 2009 Sierpinski object for affine systems. Zbl 1372.54007Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 1 2017 Quantale algebras as a generalization of lattice-valued frames. Zbl 1373.06020Solovyov, Sergey A. 3 2016 Topological systems as a framework for institutions. Zbl 1394.18002Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 2 2016 Lattice-valued preordered sets as lattice-valued topological systems. Zbl 1360.54012Denniston, Jeffrey T.; Melton, Austin; Rodabaugh, Stephen E.; Solovyov, Sergey A. 4 2015 Lattice-valued bornological systems. Zbl 1376.54011Paseka, Jan; Solovyov, Sergey A.; Stehlík, Milan 3 2015 Categorically-algebraic topology and its applications. Zbl 1406.54006Solovyov, Sergey A. 3 2015 Localification procedure for affine systems. Zbl 1326.18003Solovyov, Sergey A. 3 2015 Functorial semantics of topological theories. Zbl 1408.54001Solovyov, Sergey A. 2 2015 On the category of lattice-valued bornological vector spaces. Zbl 1333.54019Paseka, Jan; Solovyov, Sergey A.; Stehlík, Milan 2 2014 Topological systems versus attachment relations. Zbl 1426.54010Guido, Cosimo; Solovyov, Sergey A. 1 2014 Lattice-valued soft algebras. Zbl 1327.08003Solovyov, Sergey A. 5 2013 Lattice-valued topological systems as a framework for lattice-valued formal concept analysis. Zbl 1403.06009Solovyov, Sergey A. 4 2013 Algebraically-topological systems and attachments. Zbl 1335.54009Frascella, Anna; Guido, Cosimo; Solovyov, Sergey A. 4 2013 Categorically algebraic topology versus universal topology. Zbl 1294.54006Solovyov, Sergey A. 3 2013 Categorical foundations of variety-based topology and topological systems. Zbl 1241.54005Solovyov, Sergey A. 15 2012 Sobriety and spatiality in categories of lattice-valued algebras. Zbl 1261.18003Solovyov, Sergey A. 3 2012 Composite variety-based topological theories. Zbl 1256.54030Solovyov, Sergey A. 2 2012 Localification of variable-basis topological systems. Zbl 1274.06043Solovyov, Sergey A. 10 2011 Powerset operator foundations for catalg fuzzy set theories. Zbl 1260.03098Solovyov, Sergey A. 10 2011 Fuzzy algebras as a framework for fuzzy topology. Zbl 1225.54002Solovyov, Sergey A. 6 2011 Generalized fuzzy topology versus non-commutative topology. Zbl 1225.54003Solovyov, Sergey A. 6 2011 Dual attachment pairs in categorically-algebraic topology. Zbl 1251.54009Frascella, Anna; Guido, Cosimo; Solovyov, Sergey A. 6 2011 On a generalization of the concept of state property system. Zbl 1246.18002Solovyov, Sergey A. 6 2011 On algebraic and coalgebraic categories of variety-based topological systems. Zbl 1260.54020Solovyov, Sergey A. 6 2011 A note on nuclei of quantale algebras. Zbl 1286.06028Solovyov, Sergey A. 3 2011 Extended-order algebras as a generalization of posets. Zbl 1260.06007Solovyov, Sergey A. 1 2011 On limits and colimits of variety-based topological systems. Zbl 1237.18006Solovyov, Sergey A. 1 2011 Variable-basis topological systems versus variable-basis topological spaces. Zbl 1197.54018Solovyov, Sergey A. 23 2010 From quantale algebroids to topological spaces: fixed- and variable-basis approaches. Zbl 1193.54010Solovyov, Sergey A. 16 2010 Hypergraph functor and attachment. Zbl 1207.18007Solovyov, Sergey A. 5 2010 Categorically-algebraic dualities. Zbl 1223.08004Solovyov, Sergey A. 4 2010 On fuzzification of the notion of quantaloid. Zbl 1218.06012Solovyov, S. 3 2010 Categorically-algebraic frameworks for Priestley duality. Zbl 1248.08003Solovyov, Sergey A. 2 2010 On monadic quantale algebras: basic properties and representation theorems. Zbl 1220.03052Solovyov, Sergey A. 2 2010 On ordered categories as a framework for fuzzification of algebraic and topological structures. Zbl 1182.18003Solovyov, Sergey A. 1 2009 Sobriety and spatiality in varieties of algebras. Zbl 1177.54004Solovyov, Sergey A. 25 2008 On the category \(Q\)-Mod. Zbl 1145.06008Solovyov, Sergey A. 20 2008 A representation theorem for quantale algebras. Zbl 1147.06010Solovyov, Sergey A. 16 2008 Categorical frameworks for variable-basis sobriety and spatiality. Zbl 1157.18002Solovyov, Sergey A. 12 2008 On a categorical generalization of the concept of fuzzy set. Basic definitions, properties, examples. Zbl 1291.18001Solovjovs, Sergejs 8 2008 On coproducts of quantale algebras. Zbl 1160.06007Solovyov, Sergey 2 2008 On a generalization of Goguen’s category \({\mathcal S}et(L)\). Zbl 1107.18002Solovyov, Sergey A. 2 2007 Completion of partially ordered sets. Zbl 1141.18005Solovyov, Sergey A. 1 2007 On the category \(\mathcal {S}et(\mathcal {JCP}os)\). Zbl 1081.18007Solovyov, Sergey A. 15 2006 Categories of lattice-valued sets as categories of arrows. Zbl 1090.18001Solovyov, Sergey A. 8 2006 all cited Publications top 5 cited Publications all top 5 Cited by 64 Authors 29 Solovyov, Sergey A. 11 Zhao, Bin 9 Han, Shengwei 9 Rodabaugh, Stephen Ernest 6 Paseka, Jan 5 Denniston, Jeffrey T. 5 Melton, Austin C. jun. 4 El-Saady, Kamal 4 Srivastava, Arun Kamar 4 Xia, Changchun 4 Zhang, Xia 3 Demirci, Mustafa 3 Močkoř, Jiří 3 Singh, Sheo Kumar 3 Stehlík, Milan 3 Wang, Kaiyun 2 Chakraborty, Mihir Kumar 2 Guido, Cosimo 2 Höhle, Ulrich 2 Jana, Purbita 2 Noor, Rana 2 Ojeda-Aciego, Manuel 2 Pan, Fangfang 2 Srivastava, Rekha 2 Temraz, Ayat A. 2 Tiwari, Harshita 2 Xu, Xiaoting 1 Abd-Allah, Mohammed Azab 1 Ajmal, Naseem 1 Aygün, Halis 1 Bayoumi, Fatma 1 Borzooei, Rajab Ali 1 Cabrera, Inma P. 1 Çetkin, Vildan 1 Ciungu, Lavinia Corina 1 Cordero, Pablo 1 Das, Litan Kumar 1 Della Stella, Maria Emilia 1 Dvurečenskij, Anatolij 1 Ghareeb, A. 1 Gutiérrez, Gloria 1 Holcapek, Michal 1 Jäger, Gunther 1 Jain, Aparna 1 Klement, Erich Peter 1 Krídlo, Ondrej 1 Lu, Jing 1 Martínez del Castillo, Javier 1 Ray, Kumar Sankar 1 Scarciglia, Vittoria 1 Seal, Gavin J. 1 Sharqawy, Saad 1 Singh, Prem Kumar 1 Šlesinger, Radek 1 Stout, Lawrence Neff 1 Wang, Rongrong 1 Wang, Shunqin 1 Wu, Hongwei 1 Wu, Supeng 1 Wu, Tao 1 Xiao, Zhijiang 1 Yao, Wei 1 Zahiri, Omid 1 Zhou, Yunyan all top 5 Cited in 27 Serials 41 Fuzzy Sets and Systems 11 Soft Computing 6 Iranian Journal of Fuzzy Systems 4 Semigroup Forum 3 Algebra Universalis 2 Quaestiones Mathematicae 2 Journal of the Egyptian Mathematical Society 2 Annals of Mathematics and Artificial Intelligence 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Pure and Applied Algebra 1 Kybernetika 1 Mathematica Slovaca 1 Studia Logica 1 Order 1 International Journal of Approximate Reasoning 1 Journal of Applied Non-Classical Logics 1 Kragujevac Journal of Mathematics 1 Journal of Algebra and its Applications 1 Fuzzy Information and Engineering 1 Journal of Mathematics 1 Open Mathematics all top 5 Cited in 12 Fields 51 Order, lattices, ordered algebraic structures (06-XX) 50 Category theory; homological algebra (18-XX) 49 General topology (54-XX) 28 Mathematical logic and foundations (03-XX) 14 General algebraic systems (08-XX) 5 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.