Edit Profile (opens in new tab) Cabrer, Leonardo Manuel Co-Author Distance Author ID: cabrer.leonardo-manuel Published as: Cabrer, Leonardo Manuel; Cabrer, Leonardo; Cabrer, Leonardo M.; Cabrer, L. M. more...less External Links: ORCID Documents Indexed: 45 Publications since 2005, including 4 Additional arXiv Preprints Reviewing Activity: 7 Reviews Co-Authors: 15 Co-Authors with 39 Joint Publications 205 Co-Co-Authors all top 5 Co-Authors 6 single-authored 13 Mundici, Daniele 11 Priestley, Hilary A. 6 Celani, Sergio Arturo 4 Busaniche, Manuela 3 Metcalfe, George 1 Aguzzoli, Stefano 1 Bova, Simone 1 Craig, Andrew P. K. 1 Freisberg, Benjamin 1 Gil-Férez, José 1 Marra, Vincenzo 1 Montangie, Daniela 1 Rivieccio, Umberto 1 Rodríguez, Ricardo Oscar 1 Spada, Luca all top 5 Serials 7 Algebra Universalis 4 Journal of Pure and Applied Algebra 2 Journal of Algebra 2 Annals of Pure and Applied Logic 2 Forum Mathematicum 2 Central European Journal of Mathematics 1 Discrete Mathematics 1 Fuzzy Sets and Systems 1 Mathematica Slovaca 1 Notre Dame Journal of Formal Logic 1 Reports on Mathematical Logic 1 Studia Logica 1 Bulletin of the Section of Logic 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Order 1 International Journal of Approximate Reasoning 1 Journal of Logic and Computation 1 Archive for Mathematical Logic 1 Mathematical Logic Quarterly (MLQ) 1 Discrete and Continuous Dynamical Systems 1 Logic Journal of the IGPL 1 Communications in Contemporary Mathematics 1 ACM Transactions on Computational Logic 1 Journal of Multiple-Valued Logic and Soft Computing 1 Logical Methods in Computer Science all top 5 Fields 40 Order, lattices, ordered algebraic structures (06-XX) 29 Mathematical logic and foundations (03-XX) 21 General algebraic systems (08-XX) 10 Convex and discrete geometry (52-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 4 Category theory; homological algebra (18-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 179 times in 118 Documents Cited by ▼ Year ▼ Representation and duality for Hilbert algebras. Zbl 1184.03064 Celani, Sergio A.; Cabrer, Leonardo M.; Montangie, Daniela 17 2009 Topological duality for Tarski algebras. Zbl 1136.03046 Celani, Sergio A.; Cabrer, Leonardo M. 12 2008 Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras. Zbl 1114.06010 Cabrer, Leonardo Manuel; Celani, Sergio Arturo 12 2006 Admissibility via natural dualities. Zbl 1346.08005 Cabrer, Leonardo; Metcalfe, George 11 2015 Rational polyhedra and projective lattice-ordered abelian groups with order unit. Zbl 1275.06002 Cabrer, Leonardo; Mundici, Daniele 10 2012 Projective MV-algebras and rational polyhedra. Zbl 1196.06004 Cabrer, Leonardo Manuel; Mundici, Daniele 9 2009 Coproducts of distributive lattice-based algebras. Zbl 1312.06009 Cabrer, L. M.; Priestley, H. A. 8 2014 Distributive bilattices from the perspective of natural duality theory. Zbl 1319.06011 Cabrer, L. M.; Priestley, H. A. 8 2015 Simplicial geometry of unital lattice-ordered abelian groups. Zbl 1330.06013 Cabrer, Leonardo Manuel 8 2015 Classifying orbits of the affine group over the integers. Zbl 1417.37114 Cabrer, Leonardo Manuel; Mundici, Daniele 7 2017 Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups. Zbl 1277.06007 Busaniche, Manuela; Cabrer, Leonardo; Mundici, Daniele 6 2012 MV-algebras, infinite dimensional polyhedra, and natural dualities. Zbl 1367.06006 Cabrer, Leonardo M.; Spada, Luca 6 2017 A general framework for product representations: bilattices and beyond. Zbl 1405.06002 Cabrer, L. M.; Priestley, H. A. 6 2015 Product representation for default bilattices: an application of natural duality theory. Zbl 1311.06009 Cabrer, L. M.; Craig, A. P. K.; Priestley, H. A. 5 2015 Gödel algebras: interactive dualities and their applications. Zbl 1334.06011 Cabrer, L. M.; Priestley, H. A. 5 2015 Canonicity in subvarieties of BL-algebras. Zbl 1200.03049 Busaniche, Manuela; Cabrer, Leonardo Manuel 5 2009 Finitely presented lattice-ordered abelian groups with order-unit. Zbl 1261.06022 Cabrer, Leonardo; Mundici, Daniele 4 2011 Duality for finite Hilbert algebras. Zbl 1084.03050 Celani, Sergio; Cabrer, Leonardo 4 2005 Bouligand-Severi \(k\)-tangents and strongly semisimple MV-algebras. Zbl 1319.06010 Cabrer, Leonardo Manuel 4 2014 Łukasiewicz public announcement logic. Zbl 1455.03017 Cabrer, Leonardo; Rivieccio, Umberto; Rodriguez, Ricardo Oscar 4 2016 Interval MV-algebras and generalizations. Zbl 1326.06011 Cabrer, Leonardo Manuel; Mundici, Daniele 3 2014 Exact unification and admissibility. Zbl 1384.08001 Cabrer, Leonardo; Metcalfe, George 3 2015 Sugihara algebras: admissibility algebras via the test spaces method. Zbl 1480.03062 Cabrer, Leonardo M.; Priestley, Hilary A. 3 2020 Checking admissibility using natural dualities. Zbl 1407.03010 Cabrer, Leonardo M.; Freisberg, Benjamin; Metcalfe, George; Priestley, Hilary A. 3 2019 Polyhedral MV-algebras. Zbl 1385.06003 Busaniche, Manuela; Cabrer, Leonardo; Mundici, Daniele 2 2016 Unification and projectivity in De Morgan and Kleene algebras. Zbl 1303.06009 Bova, Simone; Cabrer, Leonardo 2 2014 Natural dualities through product representations: bilattices and beyond. Zbl 1360.08005 Cabrer, L. M.; Priestley, H. A. 2 2016 A Stone-Weierstrass theorem for MV-algebras and unital \(\ell\)-groups. Zbl 1323.06011 Cabrer, Leonardo Manuel; Mundici, Daniele 2 2015 MV-algebras freely generated by finite Kleene algebras. Zbl 1316.06013 Aguzzoli, Stefano; Cabrer, Leonardo M.; Marra, Vincenzo 2 2013 Some remarks on Ockham congruences. Zbl 1135.06006 Cabrer, Leonardo; Celani, Sergio 1 2006 Idempotent endomorphisms of free MV-algebras and unital \(\ell\)-groups. Zbl 1362.06003 Cabrer, Leonardo Manuel; Mundici, Daniele 1 2017 Severi-Bouligand tangents, Frenet frames and Riesz spaces. Zbl 1322.46005 Cabrer, Leonardo Manuel; Mundici, Daniele 1 2015 Sugihara algebras and Sugihara monoids: multisorted dualities. Zbl 1505.03141 Cabrer, Leonardo M.; Priestley, Hilary A. 1 2020 Classifying GL\((n,\mathbb{Z})\)-orbits of points and rational subspaces. Zbl 1369.37034 Mundici, Daniele; Cabrer, Leonardo Manuel 1 2016 Leibniz interpolation properties. Zbl 1306.03029 Cabrer, Leonardo; Gil-Férez, José 1 2014 Sugihara algebras: admissibility algebras via the test spaces method. Zbl 1480.03062 Cabrer, Leonardo M.; Priestley, Hilary A. 3 2020 Sugihara algebras and Sugihara monoids: multisorted dualities. Zbl 1505.03141 Cabrer, Leonardo M.; Priestley, Hilary A. 1 2020 Checking admissibility using natural dualities. Zbl 1407.03010 Cabrer, Leonardo M.; Freisberg, Benjamin; Metcalfe, George; Priestley, Hilary A. 3 2019 Classifying orbits of the affine group over the integers. Zbl 1417.37114 Cabrer, Leonardo Manuel; Mundici, Daniele 7 2017 MV-algebras, infinite dimensional polyhedra, and natural dualities. Zbl 1367.06006 Cabrer, Leonardo M.; Spada, Luca 6 2017 Idempotent endomorphisms of free MV-algebras and unital \(\ell\)-groups. Zbl 1362.06003 Cabrer, Leonardo Manuel; Mundici, Daniele 1 2017 Łukasiewicz public announcement logic. Zbl 1455.03017 Cabrer, Leonardo; Rivieccio, Umberto; Rodriguez, Ricardo Oscar 4 2016 Polyhedral MV-algebras. Zbl 1385.06003 Busaniche, Manuela; Cabrer, Leonardo; Mundici, Daniele 2 2016 Natural dualities through product representations: bilattices and beyond. Zbl 1360.08005 Cabrer, L. M.; Priestley, H. A. 2 2016 Classifying GL\((n,\mathbb{Z})\)-orbits of points and rational subspaces. Zbl 1369.37034 Mundici, Daniele; Cabrer, Leonardo Manuel 1 2016 Admissibility via natural dualities. Zbl 1346.08005 Cabrer, Leonardo; Metcalfe, George 11 2015 Distributive bilattices from the perspective of natural duality theory. Zbl 1319.06011 Cabrer, L. M.; Priestley, H. A. 8 2015 Simplicial geometry of unital lattice-ordered abelian groups. Zbl 1330.06013 Cabrer, Leonardo Manuel 8 2015 A general framework for product representations: bilattices and beyond. Zbl 1405.06002 Cabrer, L. M.; Priestley, H. A. 6 2015 Product representation for default bilattices: an application of natural duality theory. Zbl 1311.06009 Cabrer, L. M.; Craig, A. P. K.; Priestley, H. A. 5 2015 Gödel algebras: interactive dualities and their applications. Zbl 1334.06011 Cabrer, L. M.; Priestley, H. A. 5 2015 Exact unification and admissibility. Zbl 1384.08001 Cabrer, Leonardo; Metcalfe, George 3 2015 A Stone-Weierstrass theorem for MV-algebras and unital \(\ell\)-groups. Zbl 1323.06011 Cabrer, Leonardo Manuel; Mundici, Daniele 2 2015 Severi-Bouligand tangents, Frenet frames and Riesz spaces. Zbl 1322.46005 Cabrer, Leonardo Manuel; Mundici, Daniele 1 2015 Coproducts of distributive lattice-based algebras. Zbl 1312.06009 Cabrer, L. M.; Priestley, H. A. 8 2014 Bouligand-Severi \(k\)-tangents and strongly semisimple MV-algebras. Zbl 1319.06010 Cabrer, Leonardo Manuel 4 2014 Interval MV-algebras and generalizations. Zbl 1326.06011 Cabrer, Leonardo Manuel; Mundici, Daniele 3 2014 Unification and projectivity in De Morgan and Kleene algebras. Zbl 1303.06009 Bova, Simone; Cabrer, Leonardo 2 2014 Leibniz interpolation properties. Zbl 1306.03029 Cabrer, Leonardo; Gil-Férez, José 1 2014 MV-algebras freely generated by finite Kleene algebras. Zbl 1316.06013 Aguzzoli, Stefano; Cabrer, Leonardo M.; Marra, Vincenzo 2 2013 Rational polyhedra and projective lattice-ordered abelian groups with order unit. Zbl 1275.06002 Cabrer, Leonardo; Mundici, Daniele 10 2012 Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups. Zbl 1277.06007 Busaniche, Manuela; Cabrer, Leonardo; Mundici, Daniele 6 2012 Finitely presented lattice-ordered abelian groups with order-unit. Zbl 1261.06022 Cabrer, Leonardo; Mundici, Daniele 4 2011 Representation and duality for Hilbert algebras. Zbl 1184.03064 Celani, Sergio A.; Cabrer, Leonardo M.; Montangie, Daniela 17 2009 Projective MV-algebras and rational polyhedra. Zbl 1196.06004 Cabrer, Leonardo Manuel; Mundici, Daniele 9 2009 Canonicity in subvarieties of BL-algebras. Zbl 1200.03049 Busaniche, Manuela; Cabrer, Leonardo Manuel 5 2009 Topological duality for Tarski algebras. Zbl 1136.03046 Celani, Sergio A.; Cabrer, Leonardo M. 12 2008 Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras. Zbl 1114.06010 Cabrer, Leonardo Manuel; Celani, Sergio Arturo 12 2006 Some remarks on Ockham congruences. Zbl 1135.06006 Cabrer, Leonardo; Celani, Sergio 1 2006 Duality for finite Hilbert algebras. Zbl 1084.03050 Celani, Sergio; Cabrer, Leonardo 4 2005 all cited Publications top 5 cited Publications all top 5 Cited by 105 Authors 17 Cabrer, Leonardo Manuel 13 Celani, Sergio Arturo 12 Mundici, Daniele 10 Priestley, Hilary A. 7 Castiglioni, José Luis 6 Di Nola, Antonio 5 Montangie, Daniela 5 Rivieccio, Umberto 4 Busaniche, Manuela 4 Davey, Brian A. 4 Lenzi, Giacomo 4 Marra, Vincenzo 4 Spada, Luca 4 Ugolini, Sara 3 Agliano, Paolo 3 Craig, Andrew P. K. 3 Fussner, Wesley 3 Gaitán, Hernando 3 Haviar, Miroslav 3 Jansana, Ramon 3 Orłowska, Ewa S. 2 Aguzzoli, Stefano 2 Bianchi, Matteo 2 Buşneag, Dumitru 2 Calomino, Ismael 2 Caramello, Olivia 2 Citkin, Alex 2 Dzik, Wojciech 2 Galatos, Nikolaos 2 Gehrke, Mai 2 González, Luciano Javier 2 Kala, Vítězslav 2 Lapenta, Serafina 2 Ledda, Antonio 2 Metcalfe, George 2 Montagna, Franco 2 Movsisyan, Yuri Movses 2 Paoli, Francesco 2 San Martín, Hernán Javier 2 Sedlár, Igor 2 Stronkowski, Michał Marek 2 van Gool, Samuel Jacob 1 Abbadini, Marco 1 Bakhtiari, Zeinab 1 Baldi, Michele Pra 1 Banerjee, Mohua 1 Belluce, Lawrence Peter 1 Benevides, Mario R. F. 1 Botero, William J. Zuluaga 1 Brunelli, Matteo 1 Castaño, Diego Nicolás 1 Cavallo, Bice 1 Ciabattoni, Agata 1 Davidova, Diana S. 1 D’Ottaviano, Itala M. Loffredo 1 Düntsch, Ivo 1 Fang, Jie 1 Font, Josep Maria 1 Freisberg, Benjamin 1 Freytes, Hector 1 Ghiţă, Mircea Gheorghe 1 Gispert, Joan 1 Golińska-Pilarek, Joanna 1 Gouveia, Maria João 1 Grigolia, Revaz 1 Iemhoff, Rosalie 1 Jana, Purbita 1 Jenei, Sándor 1 Korbelář, Miroslav 1 Koutras, Costas D. 1 Krawczyk, Krzysztof Aleksander 1 Kumar, Arun 1 Lacava, Francesco 1 Lattanzi, Marina Beatriz 1 Leichtnam, Eric 1 Leuştean, Ioana 1 Lubomirsky, Noemí 1 Madeira, Alexandre 1 Mallea, Héctor Federico 1 Marcos, Miguel Andrés 1 Martins, Manuel António 1 Mendan, Stacey P. 1 Menni, Matías 1 Moraschini, Tommaso 1 Pitsiladis, Georgios V. 1 Punčochář, Vít 1 Raftery, James G. 1 Raum, Sven 1 Rewitzky, Ingrid 1 Romanowska, Anna B. 1 Rudeanu, Sergiu 1 Russo, Anna Carla 1 Saeli, Donato 1 Siekmann, Jörg H. 1 Skalski, Adam G. 1 Smith, Jonathan Dallas Hayden 1 Solovyov, Sergey A. 1 Szabó, Peter 1 Tedder, Andrew 1 van Alten, Clint J. ...and 5 more Authors all top 5 Cited in 39 Serials 20 Algebra Universalis 10 Studia Logica 8 Fuzzy Sets and Systems 7 Annals of Pure and Applied Logic 6 Journal of Pure and Applied Algebra 4 Mathematica Slovaca 4 Forum Mathematicum 4 Archive for Mathematical Logic 4 Soft Computing 3 Journal of Algebra 3 Journal of Applied Non-Classical Logics 3 Central European Journal of Mathematics 2 Demonstratio Mathematica 2 Journal of Philosophical Logic 2 Order 2 International Journal of Approximate Reasoning 2 MSCS. Mathematical Structures in Computer Science 2 Categories and General Algebraic Structures with Applications 1 Communications in Algebra 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentationes Mathematicae Universitatis Carolinae 1 Mathematische Annalen 1 Semigroup Forum 1 Theoretical Computer Science 1 SIAM Journal on Discrete Mathematics 1 Applied Categorical Structures 1 Mathematical Logic Quarterly (MLQ) 1 The Bulletin of Symbolic Logic 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 ACM Transactions on Computational Logic 1 Journal of Multiple-Valued Logic and Soft Computing 1 Logica Universalis 1 Journal of Logic and Analysis 1 The Review of Symbolic Logic 1 Azerbaijan Journal of Mathematics 1 Journal of Logical and Algebraic Methods in Programming 1 European Journal of Mathematics all top 5 Cited in 22 Fields 78 Order, lattices, ordered algebraic structures (06-XX) 77 Mathematical logic and foundations (03-XX) 34 General algebraic systems (08-XX) 16 Category theory; homological algebra (18-XX) 8 Convex and discrete geometry (52-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 4 General topology (54-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Manifolds and cell complexes (57-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Mathematics education (97-XX) Citations by Year