Edit Profile (opens in new tab) Janelidze, Zurab Compute Distance To: Compute Author ID: janelidze.zurab Published as: Janelidze, Zurab; Janelidze, Z. Homepage: http://zurab.online External Links: MGP · ORCID · dblp Documents Indexed: 38 Publications since 2003 Co-Authors: 13 Co-Authors with 24 Joint Publications 111 Co-Co-Authors all top 5 Co-Authors 14 single-authored 5 Bourn, Dominique 5 Gran, Marino 4 Rodelo, Diana 3 Ursini, Aldo 3 Weighill, Thomas 2 Goswami, Amartya 2 Jacqmin, Pierre-Alain 2 Martins-Ferreira, Nelson 1 Abdalla, Abdurahman Masoud 1 Duckerts-Antoine, Mathieu 1 Hoefnagel, Michael Anton 1 van der Linden, Tim 1 Vitale, Enrico Maria all top 5 Serials 9 Theory and Applications of Categories 7 Applied Categorical Structures 4 Algebra Universalis 4 Journal of Pure and Applied Algebra 3 Journal of Homotopy and Related Structures 2 Advances in Mathematics 2 Journal of Algebra 2 Homology, Homotopy and Applications 1 Communications in Algebra 1 Quaestiones Mathematicae 1 Georgian Mathematical Journal 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Algebra and its Applications all top 5 Fields 37 Category theory; homological algebra (18-XX) 29 General algebraic systems (08-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Group theory and generalizations (20-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 260 times in 84 Documents Cited by ▼ Year ▼ The pointed subobject functor, \(3\times 3\) lemmas, and subtractivity of spans. Zbl 1234.18009Janelidze, Zurab 33 2010 Subtractive categories. Zbl 1095.18002Janelidze, Zurab 33 2005 Approximate Mal’tsev operations. Zbl 1172.18001Bourn, Dominique; Janelidze, Zurab 18 2008 Closedness properties of internal relations. I. A unified approach to Mal’tsev, unital and subtractive categories. Zbl 1104.18002Janelidze, Zurab 15 2006 Closedness properties of internal relations. V: Linear Mal’tsev conditions. Zbl 1133.08002Janelidze, Zurab 12 2008 Subtractive categories and extended subtractions. Zbl 1176.18005Bourn, Dominique; Janelidze, Zurab 12 2009 Pointed protomodularity via natural imaginary subtractions. Zbl 1167.18002Bourn, Dominique; Janelidze, Zurab 10 2009 A good theory of ideals in regular multi-pointed categories. Zbl 1257.18011Gran, Marino; Janelidze, Zurab; Ursini, Aldo 8 2012 \(3 \times 3\) lemma for star-exact sequences. Zbl 1258.18011Gran, Marino; Janelidze, Zurab; Rodelo, Diana 8 2012 Closedness properties of internal relations. II: Bourn localization. Zbl 1104.18003Janelidze, Zurab 7 2006 Duality in non-abelian algebra. I: From cover relations to Grandis ex2-categories. Zbl 1305.18028Janelidze, Zurab; Weighill, Thomas 7 2014 Categorical (binary) difference terms and protomodularity. Zbl 1231.08004Bourn, Dominique; Janelidze, Zurab 7 2011 Closedness properties of internal relations. VI: Approximate operations. Zbl 1188.18002Janelidze, Zurab 7 2009 Cover relations on categories. Zbl 1177.18002Janelidze, Zurab 7 2009 On the form of subobjects in semi-abelian and regular protomodular categories. Zbl 1309.18008Janelidze, Zurab 7 2014 Characterization of pointed varieties of universal algebras with normal projections. Zbl 1018.18001Janelidze, Zurab 6 2003 Split short five lemma for clots and subtractive categories. Zbl 1217.18008Janelidze, Zurab; Ursini, Aldo 5 2011 A note on the abelianization functor. Zbl 1375.18052Bourn, Dominique; Janelidze, Zurab 5 2016 Closedness properties of internal relations. III: Pointed protomodular categories. Zbl 1124.18002Janelidze, Zurab 5 2007 Closedness properties of internal relations. IV: Expressing additivity of a category via subtractivity. Zbl 1124.18003Janelidze, Zurab 5 2006 An axiomatic survey of diagram lemmas for non-abelian group-like structures. Zbl 1277.18015Janelidze, Zurab 4 2012 Varieties of universal algebras with normal local projections. Zbl 1052.18007Janelidze, Z. 4 2004 Weakly Mal’tsev categories and strong relations. Zbl 1252.18008Janelidze, Zurab; Martins-Ferreira, Nelson 4 2012 Symmetry of regular diamonds, the Goursat property, and subtractivity. Zbl 1252.18022Gran, Marino; Janelidze, Zurab; Rodelo, Diana; Ursini, Aldo 4 2012 Hagemann’s theorem for regular categories. Zbl 1374.18004Janelidze, Zurab; Rodelo, Diana; Van der Linden, Tim 4 2014 Duality in non-abelian algebra. II: From Isbell bicategories to Grandis exact categories. Zbl 1359.18004Janelidze, Zurab; Weighill, Thomas 4 2016 Star-regularity and regular completions. Zbl 1301.18006Gran, Marino; Janelidze, Zurab 3 2014 The snail lemma in a pointed regular category. Zbl 1346.18022Janelidze, Zurab; Vitale, Enrico M. 3 2017 Duality in non-abelian algebra. IV. Duality for groups and a universal isomorphism theorem. Zbl 07060775Goswami, Amartya; Janelidze, Zurab 3 2019 Duality in non-abelian algebra. III. Normal categories and 0-regular varieties. Zbl 1359.18002Janelidze, Zurab; Weighill, Thomas 3 2017 Involution-rigidness – a new exactness property, and its weak version. Zbl 1376.08002Janelidze, Zurab; Martins-Ferreira, Nelson 2 2017 On difunctionality of class relations. Zbl 1455.08001Hoefnagel, Michael; Janelidze, Zurab; Rodelo, Diana 2 2020 On stability of exactness properties under the pro-completion. Zbl 1452.18005Jacqmin, Pierre-Alain; Janelidze, Zurab 2 2021 On linear exactness properties. Zbl 1472.18002Jacqmin, Pierre-Alain; Janelidze, Zurab 1 2021 On stability of exactness properties under the pro-completion. Zbl 1452.18005Jacqmin, Pierre-Alain; Janelidze, Zurab 2 2021 On linear exactness properties. Zbl 1472.18002Jacqmin, Pierre-Alain; Janelidze, Zurab 1 2021 On difunctionality of class relations. Zbl 1455.08001Hoefnagel, Michael; Janelidze, Zurab; Rodelo, Diana 2 2020 Duality in non-abelian algebra. IV. Duality for groups and a universal isomorphism theorem. Zbl 07060775Goswami, Amartya; Janelidze, Zurab 3 2019 The snail lemma in a pointed regular category. Zbl 1346.18022Janelidze, Zurab; Vitale, Enrico M. 3 2017 Duality in non-abelian algebra. III. Normal categories and 0-regular varieties. Zbl 1359.18002Janelidze, Zurab; Weighill, Thomas 3 2017 Involution-rigidness – a new exactness property, and its weak version. Zbl 1376.08002Janelidze, Zurab; Martins-Ferreira, Nelson 2 2017 A note on the abelianization functor. Zbl 1375.18052Bourn, Dominique; Janelidze, Zurab 5 2016 Duality in non-abelian algebra. II: From Isbell bicategories to Grandis exact categories. Zbl 1359.18004Janelidze, Zurab; Weighill, Thomas 4 2016 Duality in non-abelian algebra. I: From cover relations to Grandis ex2-categories. Zbl 1305.18028Janelidze, Zurab; Weighill, Thomas 7 2014 On the form of subobjects in semi-abelian and regular protomodular categories. Zbl 1309.18008Janelidze, Zurab 7 2014 Hagemann’s theorem for regular categories. Zbl 1374.18004Janelidze, Zurab; Rodelo, Diana; Van der Linden, Tim 4 2014 Star-regularity and regular completions. Zbl 1301.18006Gran, Marino; Janelidze, Zurab 3 2014 A good theory of ideals in regular multi-pointed categories. Zbl 1257.18011Gran, Marino; Janelidze, Zurab; Ursini, Aldo 8 2012 \(3 \times 3\) lemma for star-exact sequences. Zbl 1258.18011Gran, Marino; Janelidze, Zurab; Rodelo, Diana 8 2012 An axiomatic survey of diagram lemmas for non-abelian group-like structures. Zbl 1277.18015Janelidze, Zurab 4 2012 Weakly Mal’tsev categories and strong relations. Zbl 1252.18008Janelidze, Zurab; Martins-Ferreira, Nelson 4 2012 Symmetry of regular diamonds, the Goursat property, and subtractivity. Zbl 1252.18022Gran, Marino; Janelidze, Zurab; Rodelo, Diana; Ursini, Aldo 4 2012 Categorical (binary) difference terms and protomodularity. Zbl 1231.08004Bourn, Dominique; Janelidze, Zurab 7 2011 Split short five lemma for clots and subtractive categories. Zbl 1217.18008Janelidze, Zurab; Ursini, Aldo 5 2011 The pointed subobject functor, \(3\times 3\) lemmas, and subtractivity of spans. Zbl 1234.18009Janelidze, Zurab 33 2010 Subtractive categories and extended subtractions. Zbl 1176.18005Bourn, Dominique; Janelidze, Zurab 12 2009 Pointed protomodularity via natural imaginary subtractions. Zbl 1167.18002Bourn, Dominique; Janelidze, Zurab 10 2009 Closedness properties of internal relations. VI: Approximate operations. Zbl 1188.18002Janelidze, Zurab 7 2009 Cover relations on categories. Zbl 1177.18002Janelidze, Zurab 7 2009 Approximate Mal’tsev operations. Zbl 1172.18001Bourn, Dominique; Janelidze, Zurab 18 2008 Closedness properties of internal relations. V: Linear Mal’tsev conditions. Zbl 1133.08002Janelidze, Zurab 12 2008 Closedness properties of internal relations. III: Pointed protomodular categories. Zbl 1124.18002Janelidze, Zurab 5 2007 Closedness properties of internal relations. I. A unified approach to Mal’tsev, unital and subtractive categories. Zbl 1104.18002Janelidze, Zurab 15 2006 Closedness properties of internal relations. II: Bourn localization. Zbl 1104.18003Janelidze, Zurab 7 2006 Closedness properties of internal relations. IV: Expressing additivity of a category via subtractivity. Zbl 1124.18003Janelidze, Zurab 5 2006 Subtractive categories. Zbl 1095.18002Janelidze, Zurab 33 2005 Varieties of universal algebras with normal local projections. Zbl 1052.18007Janelidze, Z. 4 2004 Characterization of pointed varieties of universal algebras with normal projections. Zbl 1018.18001Janelidze, Zurab 6 2003 all cited Publications top 5 cited Publications all top 5 Cited by 45 Authors 22 Janelidze, Zurab 16 Gran, Marino 11 Rodelo, Diana 9 Bourn, Dominique 9 Jacqmin, Pierre-Alain 7 Montoli, Andrea 6 Janelidze, George 6 Martins-Ferreira, Nelson 5 Clementino, Maria Manuel 5 Mantovani, Sandra 5 van der Linden, Tim 4 Goswami, Amartya 4 Gray, James Richard Andrew 4 Hoefnagel, Michael Anton 4 Metere, Giuseppe 4 Ursini, Aldo 4 Vitale, Enrico Maria 3 Shaumbwa, Vaino Tuhafeni 3 Weighill, Thomas 2 Facchini, Alberto 2 Garner, Richard 2 Hofmann, Dirk 1 Arroyo Paniagua, María José 1 Broodryk, David Neal 1 Cho, Kenta 1 Duckerts-Antoine, Mathieu 1 Everaert, Tomas 1 Finocchiaro, Carmelo Antonio 1 Goedecke, Julia 1 Jacobs, Bart 1 Janelidze-Gray, Tamar 1 Lack, Stephen 1 López Franco, Ignacio L. 1 Lowen, Wendy 1 Márki, László 1 Mestdagh, Joris 1 Michael, Friday Ifeanyi 1 Michel, Aline 1 Ngaha Ngaha, Olivette 1 Nguefeu, Idriss Tchoffo 1 Sobral, Manuela 1 Sterck, Florence 1 Van Niekerk, Francois Koch 1 Westerbaan, Bas 1 Westerbaan, Bram all top 5 Cited in 10 Serials 25 Applied Categorical Structures 16 Journal of Pure and Applied Algebra 13 Theory and Applications of Categories 6 Journal of Algebra 5 Algebra Universalis 4 Journal of Algebra and its Applications 3 Communications in Algebra 3 Advances in Mathematics 3 Journal of Homotopy and Related Structures 1 Bulletin des Sciences Mathématiques all top 5 Cited in 11 Fields 82 Category theory; homological algebra (18-XX) 51 General algebraic systems (08-XX) 9 Group theory and generalizations (20-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 Associative rings and algebras (16-XX) 4 Mathematical logic and foundations (03-XX) 2 General topology (54-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year