Edit Profile (opens in new tab) Toffalori, Carlo Compute Distance To: Compute Author ID: toffalori.carlo Published as: Toffalori, Carlo; Toffalori, C. External Links: Wikidata · GND Documents Indexed: 112 Publications since 1977, including 4 Books 3 Contributions as Editor Reviewing Activity: 200 Reviews Co-Authors: 21 Co-Authors with 61 Joint Publications 344 Co-Co-Authors all top 5 Co-Authors 54 single-authored 14 L’Innocente, Sonia 14 Marcja, Annalisa 12 Leonesi, Stefano 11 Puninski, Gena 8 Puninskaya, Vera 4 Prest, Mike 4 Telloni, Agnese Ilaria 3 Cittadini, Saverio 3 Gregory, Lorna 3 Point, Françoise 2 Vozoris, Kathryn 1 Baratella, Stefano 1 Corradini, Flavio 1 Di Nola, Antonio 1 Koenigsmann, Jochen 1 Macpherson, Dugald 1 Macpherson, Hugh Dugald 1 Mundici, Daniele 1 Pillay, Anand 1 Příhoda, Pavel 1 Steinhorn, Charles I. 1 Tordini, S. 1 Ursini, Aldo 1 van den Dries, Lou 1 Wilkie, Alex James all top 5 Serials 13 Mathematical Logic Quarterly (MLQ) 8 Communications in Algebra 7 The Journal of Symbolic Logic 6 Annals of Pure and Applied Logic 5 Notre Dame Journal of Formal Logic 5 Rendiconti del Seminario Matematico della Università di Padova 4 Journal of Pure and Applied Algebra 4 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 4 Bollettino della Unione Matemàtica Italiana. Serie VII. B 4 Archive for Mathematical Logic 4 Lettera Matematica. International Edition 3 Journal of the London Mathematical Society. Second Series 3 Bollettino della Unione Matematica Italiana. Series V. B 2 Illinois Journal of Mathematics 2 Rendiconti del Seminario Matematico 2 Bollettino della Unione Matemàtica Italiana. Serie VI. D. Algebra e Geometria 2 Bollettino della Unione Matemàtica Italiana. Supplemento 2 Bollettino della Unione Matemàtica Italiana. Serie VI. B 2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 2 Journal of Algebra and its Applications 2 Unitext 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Le Matematiche 1 Studia Logica 1 Note di Matematica 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Soft Computing 1 Lettera Matematica Pristem 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Lecture Notes in Mathematics 1 Quaderni dell’Unione Matematica Italiana 1 Electronic Notes in Theoretical Computer Science 1 Trends in Logic – Studia Logica Library 1 La Matematica nella Società e nella Cultura. Serie I 1 Confluentes Mathematici all top 5 Fields 103 Mathematical logic and foundations (03-XX) 26 Commutative algebra (13-XX) 25 Group theory and generalizations (20-XX) 21 Associative rings and algebras (16-XX) 10 General and overarching topics; collections (00-XX) 9 Field theory and polynomials (12-XX) 7 History and biography (01-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 145 times in 70 Documents Cited by ▼ Year ▼ Notes on local o-minimality. Zbl 1222.03045Toffalori, Carlo; Vozoris, Kathryn 10 2009 Decidability of the theory of modules over commutative valuation domains. Zbl 1111.03011Puninski, G.; Puninskaya, V.; Toffalori, C. 9 2007 Decidability for \(\mathbb{Z}[G]\)-modules when \(G\) is cyclic of prime order. Zbl 0865.03024Toffalori, Carlo 7 1996 Lattice ordered o-minimal structures. Zbl 0973.03051Toffalori, Carlo 7 1998 Some model theory of modules over Bézout domains. The width. Zbl 1393.03021Puninski, Gena; Toffalori, Carlo 7 2015 The stability classification for abelian-by-finite groups and modules over a group ring. Zbl 0810.03030Marcja, Annalisa; Prest, Mike; Toffalori, Carlo 7 1993 A guide to classical and modern model theory. Zbl 1023.03026Marcja, Annalisa; Toffalori, Carlo 7 2003 Decidable representations. Zbl 0838.16010Marcja, Annalisa; Toffalori, Carlo 6 1995 On the decidability of the theory of modules over the ring of algebraic integers. Zbl 1422.03017L’Innocente, Sonia; Toffalori, Carlo; Puninski, Gena 6 2017 Some decidability results for \(\mathbb{Z} [G]\)-modules when \(G\) is cyclic of squarefree order. Zbl 0878.03031Toffalori, Carlo 5 1996 Decidability for modules over a group ring. Zbl 0787.03025Marcja, Annalisa; Toffalori, Carlo 5 1993 Krull-Gabriel dimension and the model-theoretic complexity of the category of modules over group rings of finite groups. Zbl 1155.20005Puninski, Gena; Puninskaya, Vera; Toffalori, Carlo 5 2008 The torsionfree part of the Ziegler spectrum of \(RG\) when \(R\) is a Dedekind domain and \(G\) is a finite group. Zbl 1024.03035Marcja, A.; Prest, M.; Toffalori, C. 4 2002 Decidability of modules over a Bézout domain \(D+XQ[X]\) with \(D\) a principal ideal domain and \(Q\) its field of fractions. Zbl 1337.03051Puninski, Gena; Toffalori, Carlo 4 2014 Superdecomposable pure-injective modules and integral group rings. Zbl 1089.16007Puninski, Gena; Puninskaya, Vera; Toffalori, Carlo 4 2006 The Ziegler spectrum of the ring of entire complex valued functions. Zbl 1437.13020L’Innocente, Sonia; Point, Françoise; Puninski, Gena; Toffalori, Carlo 4 2019 The theory of \({\mathbf Z}C(2)^2\)-lattices is decidable. Zbl 0899.03011Baratella, Stefano; Toffalori, Carlo 3 1998 On the undecidability of some classes of abelian-by-finite groups. Zbl 0784.03011Marcja, Annalisa; Prest, Mike; Toffalori, Carlo 3 1993 Decidability for modules over a group ring. II. Zbl 0791.03017Toffalori, Carlo 3 1994 Decidability of the theory of modules over Prüfer domains with infinite residue fields. Zbl 06997545Gregory, Lorna; L’Innocente, Sonia; Puninski, Gena; Toffalori, Carlo 3 2018 Classification theory for a 1-ary function. Zbl 0696.03018Toffalori, Carlo 2 1991 1-ary functions and the f.c.p. Zbl 0716.03027Toffalori, Carlo 2 1991 Minimalities and modules over Dedekind-like rings. Zbl 1110.03018L’Innocente, Sonia; Puninskaya, Vera; Toffalori, Carlo 2 2006 Strongly minimal modules over group rings. Zbl 1086.16014L’Innocente, Sonia; Puninskaya, Vera; Toffalori, Carlo 2 2005 Weakly minimal modules over integral group rings and over related classes of rings. Zbl 1080.03018Leonesi, Stefano; L’Innocente, Sonia; Toffalori, Carlo 2 2005 An undecidability theorem for lattices over group rings. Zbl 0893.03013Toffalori, Carlo 2 1997 Towards the decidability of the theory of modules over finite commutative rings. Zbl 1168.03024Puninski, Gena; Toffalori, Carlo 2 2009 Classification theory for abelian groups with an endomorphism. Zbl 0723.03020Marcja, Annalisa; Prest, Mike; Toffalori, Carlo 2 1991 The Boolean spectrum of an o-minimal theory. Zbl 0686.03016Steinhorn, Charles; Toffalori, Carlo 1 1989 Strutture esistenzialmente complete per certe classi di anelli. Zbl 0485.03013Toffalori, Carlo 1 1982 Teoria dei modelli per alcune classi di anelli locali. Zbl 0501.03016Toffalori, Carlo 1 1982 Comparing first order theories of modules over group rings. II: Decidability. Zbl 1013.03041Cittadini, Saverio; Toffalori, Carlo 1 2002 p-\(\aleph _ 0\)-categorical structures. Zbl 0595.03033Toffalori, Carlo 1 1986 Decidability for modules over a group ring. III. Zbl 0842.03030Toffalori, Carlo 1 1996 The decision problem for \(\mathbf Z C(p^3)\)-lattices with \(p\) prime. Zbl 0905.03023Toffalori, Carlo 1 1998 On the elementarity of some classes of abelian-by-infinite groups. Zbl 1018.03035Marcja, Annalisa; Toffalori, Carlo 1 1999 An introduction to algebra. (Un invito all’algebra.) Zbl 1234.00004Leonesi, Stefano; Toffalori, Carlo 1 2006 \(\omega\)-stable theories with a model of CB-rank 1. Zbl 0641.03025Toffalori, Carlo 1 1987 Pairs of o-minimal structures. Zbl 0649.03017Toffalori, Carlo 1 1985 Cantor-Bendixson spectra of \(\omega\)-stable theories. Zbl 0652.03022Toffalori, Carlo 1 1987 On pseudo-\(\aleph_ 0\)-categorical theories. Zbl 0561.03017Marcja, Annalisa; Toffalori, Carlo 1 1984 An elementary class extending abelian-by-\(G\) groups, for \(G\) infinite. Zbl 0871.03025Toffalori, Carlo 1 1996 Two questions concerning decidability for lattices over a group ring. Zbl 0883.16019Toffalori, Carlo 1 1996 Wildness implies undecidability for lattices over group rings. Zbl 0901.16007Toffalori, Carlo 1 1997 Numbers and cryptography. (Numeri e crittografia.) Zbl 1151.11002Leonesi, Stefano; Toffalori, Carlo 1 2006 The stability problem for 2-ary functions. Zbl 0778.03008Toffalori, Carlo 1 1993 Abelian-by-\(G\) groups, for \(G\) finite, from the model theoretic point of view. Zbl 0808.03020Marcja, Annalisa; Toffalori, Carlo 1 1994 Introduction to model theory. (Introduzione alla teoria dei modelli.) Zbl 0937.03044Marcja, Annalisa; Toffalori, Carlo 1 1998 The Ziegler spectrum of the ring of entire complex valued functions. Zbl 1437.13020L’Innocente, Sonia; Point, Françoise; Puninski, Gena; Toffalori, Carlo 4 2019 Decidability of the theory of modules over Prüfer domains with infinite residue fields. Zbl 06997545Gregory, Lorna; L’Innocente, Sonia; Puninski, Gena; Toffalori, Carlo 3 2018 On the decidability of the theory of modules over the ring of algebraic integers. Zbl 1422.03017L’Innocente, Sonia; Toffalori, Carlo; Puninski, Gena 6 2017 Some model theory of modules over Bézout domains. The width. Zbl 1393.03021Puninski, Gena; Toffalori, Carlo 7 2015 Decidability of modules over a Bézout domain \(D+XQ[X]\) with \(D\) a principal ideal domain and \(Q\) its field of fractions. Zbl 1337.03051Puninski, Gena; Toffalori, Carlo 4 2014 Notes on local o-minimality. Zbl 1222.03045Toffalori, Carlo; Vozoris, Kathryn 10 2009 Towards the decidability of the theory of modules over finite commutative rings. Zbl 1168.03024Puninski, Gena; Toffalori, Carlo 2 2009 Krull-Gabriel dimension and the model-theoretic complexity of the category of modules over group rings of finite groups. Zbl 1155.20005Puninski, Gena; Puninskaya, Vera; Toffalori, Carlo 5 2008 Decidability of the theory of modules over commutative valuation domains. Zbl 1111.03011Puninski, G.; Puninskaya, V.; Toffalori, C. 9 2007 Superdecomposable pure-injective modules and integral group rings. Zbl 1089.16007Puninski, Gena; Puninskaya, Vera; Toffalori, Carlo 4 2006 Minimalities and modules over Dedekind-like rings. Zbl 1110.03018L’Innocente, Sonia; Puninskaya, Vera; Toffalori, Carlo 2 2006 An introduction to algebra. (Un invito all’algebra.) Zbl 1234.00004Leonesi, Stefano; Toffalori, Carlo 1 2006 Numbers and cryptography. (Numeri e crittografia.) Zbl 1151.11002Leonesi, Stefano; Toffalori, Carlo 1 2006 Strongly minimal modules over group rings. Zbl 1086.16014L’Innocente, Sonia; Puninskaya, Vera; Toffalori, Carlo 2 2005 Weakly minimal modules over integral group rings and over related classes of rings. Zbl 1080.03018Leonesi, Stefano; L’Innocente, Sonia; Toffalori, Carlo 2 2005 A guide to classical and modern model theory. Zbl 1023.03026Marcja, Annalisa; Toffalori, Carlo 7 2003 The torsionfree part of the Ziegler spectrum of \(RG\) when \(R\) is a Dedekind domain and \(G\) is a finite group. Zbl 1024.03035Marcja, A.; Prest, M.; Toffalori, C. 4 2002 Comparing first order theories of modules over group rings. II: Decidability. Zbl 1013.03041Cittadini, Saverio; Toffalori, Carlo 1 2002 On the elementarity of some classes of abelian-by-infinite groups. Zbl 1018.03035Marcja, Annalisa; Toffalori, Carlo 1 1999 Lattice ordered o-minimal structures. Zbl 0973.03051Toffalori, Carlo 7 1998 The theory of \({\mathbf Z}C(2)^2\)-lattices is decidable. Zbl 0899.03011Baratella, Stefano; Toffalori, Carlo 3 1998 The decision problem for \(\mathbf Z C(p^3)\)-lattices with \(p\) prime. Zbl 0905.03023Toffalori, Carlo 1 1998 Introduction to model theory. (Introduzione alla teoria dei modelli.) Zbl 0937.03044Marcja, Annalisa; Toffalori, Carlo 1 1998 An undecidability theorem for lattices over group rings. Zbl 0893.03013Toffalori, Carlo 2 1997 Wildness implies undecidability for lattices over group rings. Zbl 0901.16007Toffalori, Carlo 1 1997 Decidability for \(\mathbb{Z}[G]\)-modules when \(G\) is cyclic of prime order. Zbl 0865.03024Toffalori, Carlo 7 1996 Some decidability results for \(\mathbb{Z} [G]\)-modules when \(G\) is cyclic of squarefree order. Zbl 0878.03031Toffalori, Carlo 5 1996 Decidability for modules over a group ring. III. Zbl 0842.03030Toffalori, Carlo 1 1996 An elementary class extending abelian-by-\(G\) groups, for \(G\) infinite. Zbl 0871.03025Toffalori, Carlo 1 1996 Two questions concerning decidability for lattices over a group ring. Zbl 0883.16019Toffalori, Carlo 1 1996 Decidable representations. Zbl 0838.16010Marcja, Annalisa; Toffalori, Carlo 6 1995 Decidability for modules over a group ring. II. Zbl 0791.03017Toffalori, Carlo 3 1994 Abelian-by-\(G\) groups, for \(G\) finite, from the model theoretic point of view. Zbl 0808.03020Marcja, Annalisa; Toffalori, Carlo 1 1994 The stability classification for abelian-by-finite groups and modules over a group ring. Zbl 0810.03030Marcja, Annalisa; Prest, Mike; Toffalori, Carlo 7 1993 Decidability for modules over a group ring. Zbl 0787.03025Marcja, Annalisa; Toffalori, Carlo 5 1993 On the undecidability of some classes of abelian-by-finite groups. Zbl 0784.03011Marcja, Annalisa; Prest, Mike; Toffalori, Carlo 3 1993 The stability problem for 2-ary functions. Zbl 0778.03008Toffalori, Carlo 1 1993 Classification theory for a 1-ary function. Zbl 0696.03018Toffalori, Carlo 2 1991 1-ary functions and the f.c.p. Zbl 0716.03027Toffalori, Carlo 2 1991 Classification theory for abelian groups with an endomorphism. Zbl 0723.03020Marcja, Annalisa; Prest, Mike; Toffalori, Carlo 2 1991 The Boolean spectrum of an o-minimal theory. Zbl 0686.03016Steinhorn, Charles; Toffalori, Carlo 1 1989 \(\omega\)-stable theories with a model of CB-rank 1. Zbl 0641.03025Toffalori, Carlo 1 1987 Cantor-Bendixson spectra of \(\omega\)-stable theories. Zbl 0652.03022Toffalori, Carlo 1 1987 p-\(\aleph _ 0\)-categorical structures. Zbl 0595.03033Toffalori, Carlo 1 1986 Pairs of o-minimal structures. Zbl 0649.03017Toffalori, Carlo 1 1985 On pseudo-\(\aleph_ 0\)-categorical theories. Zbl 0561.03017Marcja, Annalisa; Toffalori, Carlo 1 1984 Strutture esistenzialmente complete per certe classi di anelli. Zbl 0485.03013Toffalori, Carlo 1 1982 Teoria dei modelli per alcune classi di anelli locali. Zbl 0501.03016Toffalori, Carlo 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 47 Authors 26 Toffalori, Carlo 9 L’Innocente, Sonia 8 Puninski, Gena 5 Prest, Mike 5 Puninskaya, Vera 5 Wencel, Roman 3 Gregory, Lorna 3 Leonesi, Stefano 3 Marcja, Annalisa 3 Pastuszak, Grzegorz 3 Point, Françoise 2 Dolich, Alfred 2 Ebrahimi Atani, Shahabaddin 2 Fujita, Masato 2 Novák, Vilém 1 Bedürftig, Thomas 1 Chen, Lei 1 Gehret, Allen 1 Goodrick, John 1 Harland, Richard 1 Hieronymi, Philipp 1 Ilić, Dejan B. 1 Kasjan, Stanisław 1 Kawakami, Tomohiro 1 Kudaĭbergenov, Kanat Zhanzakovich 1 Los, Inna 1 Mikhalëv, Aleksandr Vasil’evich 1 Miller, Chris 1 Milliet, Cédric 1 Murawski, Roman 1 Murinová, Petra 1 Newelski, Ludomir 1 Pankrat’ev, Evgeniĭ Vasil’evich 1 Rathjen, Michael 1 Ryaskin, A. N. 1 Schoutens, Hans 1 Shi, Niandong 1 Steinhorn, Charles I. 1 Takeuchi, Kota 1 Tanaka, Hiroshi L. 1 Tressl, Marcus 1 Tsuboi, Akito 1 Tychonievich, Michael A. 1 Ulrich, Douglas 1 Vassiliev, Evgueni V. 1 Walsberg, Erik 1 Wu, Guohua all top 5 Cited in 25 Serials 11 The Journal of Symbolic Logic 9 Communications in Algebra 8 Annals of Pure and Applied Logic 7 Journal of Pure and Applied Algebra 4 Rendiconti del Seminario Matematico della Università di Padova 3 Mathematical Logic Quarterly (MLQ) 2 Journal of Algebra 2 Transactions of the American Mathematical Society 2 Archive for Mathematical Logic 2 Lettera Matematica. International Edition 1 Mathematische Semesterberichte 1 Advances in Mathematics 1 Algebra and Logic 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Colloquium Mathematicum 1 Fuzzy Sets and Systems 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Notre Dame Journal of Formal Logic 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 The Bulletin of Symbolic Logic 1 Algebras and Representation Theory 1 Matematicheskie Trudy 1 Journal of Algebra and its Applications all top 5 Cited in 17 Fields 63 Mathematical logic and foundations (03-XX) 23 Associative rings and algebras (16-XX) 18 Commutative algebra (13-XX) 9 Group theory and generalizations (20-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 4 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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.