Edit Profile (opens in new tab) Kreuzer, Alexander Co-Author Distance Author ID: kreuzer.alexander Published as: Kreuzer, Alexander; Kreuzer, A. External Links: MGP Documents Indexed: 75 Publications since 1987, including 2 Books 6 Contributions as Editor · 1 Further Contribution Co-Authors: 17 Co-Authors with 27 Joint Publications 212 Co-Co-Authors all top 5 Co-Authors 48 single-authored 4 Havlicek, Hans 4 Maxson, Carlton James 4 Sörensen, Kay 3 Czado, Claudia 3 Karzel, Helmut 2 Huang, Wenling 2 Jaritz, Renate 2 Kiechle, Hubert 2 Konrad, Angelika 2 Kreuzer, Margarete 2 Valle, Luciana Dalla 2 Wefelscheid, Heinrich 1 Bauer, Joachim 1 Benz, Walter 1 Bernays, Paul 1 Blunck, Andrea 1 Dumbaugh, Della 1 Freitag, Reinhard 1 Hilbert, David 1 Höppner, Hans-Joachim 1 Issa, A. Nourou 1 Kroll, Hans-Joachim 1 Mačák, Karel 1 Mumm, Jenny 1 Odefey, Alexander 1 Reich, Karin 1 Schröder, Eberhard M. 1 Sperner, Emanuel 1 Thiele, Rüdiger 1 Thomsen, Momme Johs 1 Toepell, Michael-Markus all top 5 Serials 19 Journal of Geometry 11 Mitteilungen der Mathematischen Gesellschaft in Hamburg 9 TUM. Mathematisches Institut. Beiträge zur Geometrie und Algebra 6 Results in Mathematics 4 Geometriae Dedicata 2 Discrete Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Archiv der Mathematik 2 Journal of Combinatorial Theory. Series A 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Commentationes Mathematicae Universitatis Carolinae 1 Le Matematiche 1 Monatshefte für Mathematik 1 Forum Mathematicum 1 Aequationes Mathematicae 1 Computational Statistics and Data Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of the Royal Statistical Society. Series C. Applied Statistics 1 Algorismus 1 Teubner-Archiv zur Mathematik. Supplement 1 Journal of Computational and Graphical Statistics 1 London Mathematical Society. Newsletter all top 5 Fields 49 Geometry (51-XX) 18 History and biography (01-XX) 15 Group theory and generalizations (20-XX) 5 General and overarching topics; collections (00-XX) 5 Associative rings and algebras (16-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 175 times in 117 Documents Cited by ▼ Year ▼ On \(K\)-loops of finite order. Zbl 0803.20052 Kreuzer, Alexander; Wefelscheid, Heinrich 18 1994 Inner mappings of Bruck loops. Zbl 0895.20052 Kreuzer, Alexander 16 1998 Examples of finite and infinite \(K\)-loops. (Beispiele endlicher und unendlicher \(K\)-Loops.) Zbl 0788.20036 Kreuzer, Alexander 12 1993 Klassifizierung von Halbordnungen. (On classifications of halforderings). Zbl 0653.51014 Kreuzer, Alexander 10 1988 Zur Einbettung von Inzidenzräumen und angeordneten Räumen. (On the embedding of incidence spaces and ordered spaces). Zbl 0678.51007 Kreuzer, Alexander 10 1989 \(E\)-locally cyclic Abelian groups and maximal near-rings of mappings. Zbl 1100.20037 Kreuzer, A.; Maxson, C. J. 9 2006 Geometry of kinematic \(K\)-loops. Zbl 0852.20062 Kolb, E.; Kreuzer, A. 8 1995 Hjelmslev-Räume. (Hjelmslev spaces). Zbl 0639.51006 Kreuzer, Alexander 8 1987 On isomorphisms of Grassmann spaces. Zbl 0927.51001 Kreuzer, Alexander 7 1998 Locally projective spaces which satisfy the bundle theorem. Zbl 0853.51004 Kreuzer, Alexander 5 1996 Forcing linearity numbers for injective modules over PID’s. Zbl 1095.13514 Kreuzer, A.; Maxson, C. J. 5 2001 Zur Abhängigkeit von Anordnungsaxiomen. (On relations between axioms of betweenness). Zbl 0639.51016 Kreuzer, Alexander 5 1988 A system of axioms for projective Hjelmslev spaces. Zbl 0727.51003 Kreuzer, Alexander 5 1991 Forcing linearity numbers for modules over PID’s. Zbl 1063.13010 Kreuzer, A.; Maxson, C. J. 4 2000 Foundations of geometry. With supplementary material by Paul Bernays. With contributions by Michael Toepell, Hubert Kiechle, Alexander Kreuzer and Heinrich Wefelscheid. Ed. and with appendixes by Michael Toepell. 14. Aufl. (Grundlagen der Geometrie. Mit Supplementen von Paul Bernays. Mit Beiträgen von Michael Toepell, Hubert Kiechle, Alexander Kreuzer and Heinrich Wefelscheid. Herausgegeben und mit Anhängen von Michael Toepell.) Zbl 0933.01031 Hilbert, David 4 1999 Semiaffine spaces. Zbl 0806.51003 Kreuzer, Alexander 4 1993 Projektive Hjelmslev-Räume. (Projective Hjelmslev spaces). Zbl 0678.51004 Kreuzer, Alexander 4 1988 On the definition of isomorphisms of linear spaces. Zbl 0856.51002 Kreuzer, Alexander 3 1996 Basis preserving maps of linear spaces. Zbl 0820.51001 Huang, Wen-Ling; Kreuzer, Alexander 3 1995 Halbgeordnete Ebenen. (On halfordered planes). Zbl 0668.51012 Kreuzer, Alexander 3 1989 Free modules over Hjelmslev rings in which not every maximal linearly independent subset is a basis. Zbl 0765.51004 Kreuzer, Alexander 3 1992 Projective embedding of \([0,m]\)-spaces. Zbl 0826.51005 Kreuzer, Alexander 3 1995 \(K\)-loops and Bruck loops on \(\mathbb{R}\times\mathbb{R}\). Zbl 0788.20035 Kreuzer, Alexander 2 1993 Properties of ordered spaces with hyperbolic incidence structure. (Eigenschaften angeordneter Räume mit hyperbolischer Inzidenzstruktur. II.) Zbl 0873.51010 Karzel, Helmut; Konrad, Angelika; Kreuzer, Alexander 2 1995 Inner mappings of Bol loops. Zbl 0851.20066 Kreuzer, Alexander 2 1995 Algebraic structure of the relativistic velocity addition. (Algebraische Struktur der relativistischen Geschwindigkeitsaddition.) Zbl 0864.20042 Kreuzer, Alexander 2 1993 On the projective embedding of ordered spaces with hyperbolic incidence structure. (Zur projektiven Einbettung angeordneter Räume mit hyperbolischer Inzidenzstruktur.) Zbl 0873.51009 Karzel, Helmut; Konrad, Angelika; Kreuzer, Alexander 2 1995 On the theory of bundle spaces. (Zur Theorie der Bündelräume.) Zbl 0798.51007 Kreuzer, Alexander 2 1993 Emil Artin (1898–1962). Contributions to life, work and personality. (Emil Artin (1898–1962). Beiträge zu Leben, Werk und Persönlichkeit.) Zbl 1200.01039 2 2007 Efficient Bayesian inference for nonlinear state space models with univariate autoregressive state equation. Zbl 07499294 Kreuzer, Alexander; Czado, Claudia 2 2020 Exchange properties in closure spaces. Zbl 1219.51005 Kreuzer, Alexander; Sörensen, Kay 1 2010 11th international conference on geometry and applications. Zbl 1296.00037 1 2014 Projective embedding of not locally projective spaces. (Projektive Einbettung nicht lokal projektiver Räume.) Zbl 0828.51002 Kreuzer, Alexander 1 1994 Reflection loops of spaces with congruence and hyperbolic incidence structure. Zbl 1101.20044 Kreuzer, Alexander 1 2004 Construction of loops of even order. Zbl 0863.20034 Kreuzer, Alexander 1 1993 Central Bol loops. Zbl 0887.20037 Kreuzer, Alexander 1 1997 Characterization of harmoniously halfordered planes. (Charakterisierung harmonisch halbgeordneter Ebenen.) Zbl 0902.51009 Kreuzer, Alexander 1 1998 Linear spaces with many projective planes. Zbl 1053.51001 Freitag, Reinhard; Kreuzer, Alexander 1 2004 Construction of finite loops of even order. Zbl 0838.20079 Kreuzer, Alexander 1 1995 Fundamental theorem of projective Hjelmslev spaces. Zbl 0751.51003 Kreuzer, A. 1 1991 Algebraic structure of the relativistic velocity addition. (Algebraische Struktur der relativistischen Geschwindigkeitsaddition.) Zbl 0961.20056 Kreuzer, Alexander 1 1999 Collected works. Edited by Walter Benz, Helmut Karzel and Alexander Kreuzer. (Gesammelte Werke.) Zbl 1084.01016 Sperner, Emanuel 1 2005 Modules over Hjelmslev rings. Zbl 0945.51512 Kreuzer, A. 1 1991 A remark on polar geometry. Zbl 0749.51006 Kreuzer, A. 1 1991 Convexity in halfordered planes. (Konvexität in halbgeordneten Ebenen.) Zbl 0840.51008 Jaritz, Renate; Kreuzer, Alexander 1 1995 Projective embedding of projective spaces. Zbl 0927.51022 Kreuzer, Alexander 1 1998 Klassifizierung endlicher halbgeordneter Ebenen. (On the classification of finite halfordered planes). Zbl 0666.51006 Kreuzer, Alexander 1 1989 Efficient Bayesian inference for nonlinear state space models with univariate autoregressive state equation. Zbl 07499294 Kreuzer, Alexander; Czado, Claudia 2 2020 11th international conference on geometry and applications. Zbl 1296.00037 1 2014 Exchange properties in closure spaces. Zbl 1219.51005 Kreuzer, Alexander; Sörensen, Kay 1 2010 Emil Artin (1898–1962). Contributions to life, work and personality. (Emil Artin (1898–1962). Beiträge zu Leben, Werk und Persönlichkeit.) Zbl 1200.01039 2 2007 \(E\)-locally cyclic Abelian groups and maximal near-rings of mappings. Zbl 1100.20037 Kreuzer, A.; Maxson, C. J. 9 2006 Collected works. Edited by Walter Benz, Helmut Karzel and Alexander Kreuzer. (Gesammelte Werke.) Zbl 1084.01016 Sperner, Emanuel 1 2005 Reflection loops of spaces with congruence and hyperbolic incidence structure. Zbl 1101.20044 Kreuzer, Alexander 1 2004 Linear spaces with many projective planes. Zbl 1053.51001 Freitag, Reinhard; Kreuzer, Alexander 1 2004 Forcing linearity numbers for injective modules over PID’s. Zbl 1095.13514 Kreuzer, A.; Maxson, C. J. 5 2001 Forcing linearity numbers for modules over PID’s. Zbl 1063.13010 Kreuzer, A.; Maxson, C. J. 4 2000 Foundations of geometry. With supplementary material by Paul Bernays. With contributions by Michael Toepell, Hubert Kiechle, Alexander Kreuzer and Heinrich Wefelscheid. Ed. and with appendixes by Michael Toepell. 14. Aufl. (Grundlagen der Geometrie. Mit Supplementen von Paul Bernays. Mit Beiträgen von Michael Toepell, Hubert Kiechle, Alexander Kreuzer and Heinrich Wefelscheid. Herausgegeben und mit Anhängen von Michael Toepell.) Zbl 0933.01031 Hilbert, David 4 1999 Algebraic structure of the relativistic velocity addition. (Algebraische Struktur der relativistischen Geschwindigkeitsaddition.) Zbl 0961.20056 Kreuzer, Alexander 1 1999 Inner mappings of Bruck loops. Zbl 0895.20052 Kreuzer, Alexander 16 1998 On isomorphisms of Grassmann spaces. Zbl 0927.51001 Kreuzer, Alexander 7 1998 Characterization of harmoniously halfordered planes. (Charakterisierung harmonisch halbgeordneter Ebenen.) Zbl 0902.51009 Kreuzer, Alexander 1 1998 Projective embedding of projective spaces. Zbl 0927.51022 Kreuzer, Alexander 1 1998 Central Bol loops. Zbl 0887.20037 Kreuzer, Alexander 1 1997 Locally projective spaces which satisfy the bundle theorem. Zbl 0853.51004 Kreuzer, Alexander 5 1996 On the definition of isomorphisms of linear spaces. Zbl 0856.51002 Kreuzer, Alexander 3 1996 Geometry of kinematic \(K\)-loops. Zbl 0852.20062 Kolb, E.; Kreuzer, A. 8 1995 Basis preserving maps of linear spaces. Zbl 0820.51001 Huang, Wen-Ling; Kreuzer, Alexander 3 1995 Projective embedding of \([0,m]\)-spaces. Zbl 0826.51005 Kreuzer, Alexander 3 1995 Properties of ordered spaces with hyperbolic incidence structure. (Eigenschaften angeordneter Räume mit hyperbolischer Inzidenzstruktur. II.) Zbl 0873.51010 Karzel, Helmut; Konrad, Angelika; Kreuzer, Alexander 2 1995 Inner mappings of Bol loops. Zbl 0851.20066 Kreuzer, Alexander 2 1995 On the projective embedding of ordered spaces with hyperbolic incidence structure. (Zur projektiven Einbettung angeordneter Räume mit hyperbolischer Inzidenzstruktur.) Zbl 0873.51009 Karzel, Helmut; Konrad, Angelika; Kreuzer, Alexander 2 1995 Construction of finite loops of even order. Zbl 0838.20079 Kreuzer, Alexander 1 1995 Convexity in halfordered planes. (Konvexität in halbgeordneten Ebenen.) Zbl 0840.51008 Jaritz, Renate; Kreuzer, Alexander 1 1995 On \(K\)-loops of finite order. Zbl 0803.20052 Kreuzer, Alexander; Wefelscheid, Heinrich 18 1994 Projective embedding of not locally projective spaces. (Projektive Einbettung nicht lokal projektiver Räume.) Zbl 0828.51002 Kreuzer, Alexander 1 1994 Examples of finite and infinite \(K\)-loops. (Beispiele endlicher und unendlicher \(K\)-Loops.) Zbl 0788.20036 Kreuzer, Alexander 12 1993 Semiaffine spaces. Zbl 0806.51003 Kreuzer, Alexander 4 1993 \(K\)-loops and Bruck loops on \(\mathbb{R}\times\mathbb{R}\). Zbl 0788.20035 Kreuzer, Alexander 2 1993 Algebraic structure of the relativistic velocity addition. (Algebraische Struktur der relativistischen Geschwindigkeitsaddition.) Zbl 0864.20042 Kreuzer, Alexander 2 1993 On the theory of bundle spaces. (Zur Theorie der Bündelräume.) Zbl 0798.51007 Kreuzer, Alexander 2 1993 Construction of loops of even order. Zbl 0863.20034 Kreuzer, Alexander 1 1993 Free modules over Hjelmslev rings in which not every maximal linearly independent subset is a basis. Zbl 0765.51004 Kreuzer, Alexander 3 1992 A system of axioms for projective Hjelmslev spaces. Zbl 0727.51003 Kreuzer, Alexander 5 1991 Fundamental theorem of projective Hjelmslev spaces. Zbl 0751.51003 Kreuzer, A. 1 1991 Modules over Hjelmslev rings. Zbl 0945.51512 Kreuzer, A. 1 1991 A remark on polar geometry. Zbl 0749.51006 Kreuzer, A. 1 1991 Zur Einbettung von Inzidenzräumen und angeordneten Räumen. (On the embedding of incidence spaces and ordered spaces). Zbl 0678.51007 Kreuzer, Alexander 10 1989 Halbgeordnete Ebenen. (On halfordered planes). Zbl 0668.51012 Kreuzer, Alexander 3 1989 Klassifizierung endlicher halbgeordneter Ebenen. (On the classification of finite halfordered planes). Zbl 0666.51006 Kreuzer, Alexander 1 1989 Klassifizierung von Halbordnungen. (On classifications of halforderings). Zbl 0653.51014 Kreuzer, Alexander 10 1988 Zur Abhängigkeit von Anordnungsaxiomen. (On relations between axioms of betweenness). Zbl 0639.51016 Kreuzer, Alexander 5 1988 Projektive Hjelmslev-Räume. (Projective Hjelmslev spaces). Zbl 0678.51004 Kreuzer, Alexander 4 1988 Hjelmslev-Räume. (Hjelmslev spaces). Zbl 0639.51006 Kreuzer, Alexander 8 1987 all cited Publications top 5 cited Publications all top 5 Cited by 101 Authors 20 Kreuzer, Alexander 12 Karzel, Helmut 9 Maxson, Carlton James 8 Pankov, Mark 8 Zizioli, Elena 6 Honold, Thomas 6 Pianta, Silvia 5 Im, Bokhee 5 Landzhev, Ivan Nikolov 5 Pambuccian, Victor V. 4 Pasotti, Stefano 4 Petelczyc, Krzysztof 4 Sörensen, Kay 4 Żynel, Mariusz 3 Havlicek, Hans 3 Kinyon, Michael K. 3 Lawson, Jimmie Don 3 Nagy, Gábor Péter 3 Ungar, Abraham Albert 3 Wefelscheid, Heinrich 2 Gabrieli, Elisabetta 2 Grishkov, Alexander Nikolaevich 2 Howell, Karin-Therese 2 Kiermaier, Michael 2 Kim, Sejong 2 Ko, Hayi-Joo 2 Konrad, Angelika 2 Kroll, Hans-Joachim 2 Napolitano, Vito 1 Allamigeon, Xavier 1 Arana, Andrew 1 Aschbacher, Michael George 1 Baumeister, Barbara 1 Beham, Bernhard 1 Benz, Walter 1 Bisztriczky, Tibor 1 Blunck, Andrea 1 Cannon, G. Alan 1 Chein, Orin 1 Dugas, Manfred H. 1 Durante, Nicola 1 Ehrlich, Philip 1 Ferrara Dentice, Eva 1 Figula, Ágota 1 Foguel, Tuval S. 1 Friedman, Michael 1 Friedman, Yaakov 1 Fuchs, László 1 Gaubert, Stéphane 1 Georgieva, Nevyana 1 Goodaire, Edgar G. 1 Horváth, Ákos G. 1 Huang, Wenling 1 Iannotta, Giusy 1 Issa, A. Nourou 1 Jaritz, Renate 1 Jones, Oliver 1 Jukl, Marek 1 Juklová, Lenka 1 Keppens, Dirk 1 Kiechle, Hubert 1 Kist, Günter Peter 1 Krammer, Werner 1 Lenz, Hanfried 1 Lim, Yongdo 1 Liu, Wen 1 Lorimer, Joseph Wilson 1 Lyons, Carter G. 1 Lyubimtsev, Oleg Vladimirovich 1 Magron, Victor 1 Mancosu, Paolo 1 Marchi, Mario 1 Metsch, Klaus 1 Meyer, Johan H. 1 Mikeš, Josef 1 Moch Ryan, A. 1 Moch, Amie E. 1 Movsisyan, Yuri Movses 1 Neuerburg, Kent M. 1 Olanda, Domenico 1 Pérez-Izquierdo, José María 1 Phillips, Jon D. 1 Prażmowska, Małgorzata 1 Prażmowski, Krzysztof 1 Rajah, Andrew 1 Robinson, D. A. 1 Schroth, Andreas E. 1 Sigmund, Karl 1 Smith, Jonathan Dallas Hayden 1 Smith, Kirby C. 1 Stein, Alexander A. 1 Strambach, Karl 1 Struve, Rolf 1 Urbantke, Helmuth K. 1 van der Merwe, Andries B. 1 Vojtěchovský, Petr 1 Walls, Gary Lee 1 Wang, Kaishun 1 Wang, Linhong 1 Werner, Benjamin ...and 1 more Authors all top 5 Cited in 38 Serials 27 Results in Mathematics 20 Journal of Geometry 12 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Journal of Algebra 5 Discrete Mathematics 4 Designs, Codes and Cryptography 4 Aequationes Mathematicae 3 Communications in Algebra 3 Linear Algebra and its Applications 2 Geometriae Dedicata 2 Journal of Combinatorial Theory. Series A 2 Journal of Algebraic Combinatorics 1 Archive for History of Exact Sciences 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Forum Mathematicum 1 Expositiones Mathematicae 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Finite Fields and their Applications 1 Journal of Applied Logic 1 Ars Mathematica Contemporanea 1 The Review of Symbolic Logic 1 Journal of Formalized Reasoning 1 Science China. Mathematics 1 Philosophy of Science all top 5 Cited in 27 Fields 74 Geometry (51-XX) 53 Group theory and generalizations (20-XX) 17 Associative rings and algebras (16-XX) 11 Combinatorics (05-XX) 8 Differential geometry (53-XX) 7 Relativity and gravitational theory (83-XX) 6 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 5 Algebraic geometry (14-XX) 4 Mathematical logic and foundations (03-XX) 4 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Nonassociative rings and algebras (17-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year