Edit Profile (opens in new tab) Althoen, Steven C. Co-Author Distance Author ID: althoen.steven-c Published as: Althoen, Steven C.; Althoen, S. C. Documents Indexed: 20 Publications since 1974, including 4 Books Reviewing Activity: 210 Reviews Co-Authors: 10 Co-Authors with 17 Joint Publications 21 Co-Co-Authors all top 5 Co-Authors 3 single-authored 8 Hansen, Kasper D. 8 Kugler, Lawrence D. 3 Frank, Harry 1 Bumcrot, Robert J. 1 Lacampagne, Carole B. 1 McLaughlin, Renate 1 Schilling, Kenneth E. 1 Siefert, Amy Collins 1 Weidner, John F. 1 Wyneken, Matthew F. all top 5 Serials 4 Algebras, Groups and Geometries 3 American Mathematical Monthly 3 Journal of Pure and Applied Algebra 2 Journal of Algebra 1 Communications in Algebra 1 Mathematics Magazine 1 Acta Scientiarum Mathematicarum 1 The College Mathematics Journal all top 5 Fields 10 Nonassociative rings and algebras (17-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 59 times in 40 Documents Cited by ▼ Year ▼ When is \(R^ 2\) a division algebra? Zbl 0524.17001 Althoen, Steven C.; Kugler, Lawrence D. 17 1983 \(\mathbb{C}\)-associative algebras of dimension 4 over \(\mathbb{R}\). Zbl 0629.17004 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 5 1986 Two-dimensional real algebras with zero divisors. Zbl 0771.17003 Althoen, S. C.; Hansen, K. D. 5 1992 A van Kampen theorem. Zbl 0299.55002 Althoen, Steven C. 5 1975 Fused four-dimensional real division algebras. Zbl 0835.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 4 1994 Statistics: concepts and applications. Zbl 0818.62001 Frank, Harry; Althoen, Steven C. 4 1994 Gauss-Jordan reduction: A brief history. Zbl 0634.01013 Althoen, Steven C.; McLaughlin, Renate 3 1987 Rotational scaled quaternion division algebras. Zbl 0757.17001 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 3 1992 Four-dimensional real algebras satisfying left or right \(\mathbb{C}\)-associativity. Zbl 0943.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 3 1998 Four-dimensional real algebras satisfying two \(\mathbb C\)-associative conditions. Zbl 0641.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 2 1987 A geometrical realization of a construction of Bass and Serre. Zbl 0338.20065 Althoen, Steven C. 2 1974 Real division algebras and Dickson’s construction. Zbl 0404.17003 Althoen, Steven C.; Weidner, John F. 2 1978 Four-dimensional real algebras satisfying middle \(\mathbb{C}\)-associativity. Zbl 1009.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 2 2000 Cutting corners: a four-gon conclusion. Zbl 1291.28006 Althoen, S. C.; Schilling, K. E.; Wyneken, M. F. 1 1994 A survey of four-dimensional \(\mathbb{C}\)-associative algebras. Zbl 1092.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 1 2004 A survey of four-dimensional \(\mathbb{C}\)-associative algebras. Zbl 1092.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 1 2004 Four-dimensional real algebras satisfying middle \(\mathbb{C}\)-associativity. Zbl 1009.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 2 2000 Four-dimensional real algebras satisfying left or right \(\mathbb{C}\)-associativity. Zbl 0943.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 3 1998 Fused four-dimensional real division algebras. Zbl 0835.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 4 1994 Statistics: concepts and applications. Zbl 0818.62001 Frank, Harry; Althoen, Steven C. 4 1994 Cutting corners: a four-gon conclusion. Zbl 1291.28006 Althoen, S. C.; Schilling, K. E.; Wyneken, M. F. 1 1994 Two-dimensional real algebras with zero divisors. Zbl 0771.17003 Althoen, S. C.; Hansen, K. D. 5 1992 Rotational scaled quaternion division algebras. Zbl 0757.17001 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 3 1992 Gauss-Jordan reduction: A brief history. Zbl 0634.01013 Althoen, Steven C.; McLaughlin, Renate 3 1987 Four-dimensional real algebras satisfying two \(\mathbb C\)-associative conditions. Zbl 0641.17002 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 2 1987 \(\mathbb{C}\)-associative algebras of dimension 4 over \(\mathbb{R}\). Zbl 0629.17004 Althoen, S. C.; Hansen, K. D.; Kugler, L. D. 5 1986 When is \(R^ 2\) a division algebra? Zbl 0524.17001 Althoen, Steven C.; Kugler, Lawrence D. 17 1983 Real division algebras and Dickson’s construction. Zbl 0404.17003 Althoen, Steven C.; Weidner, John F. 2 1978 A van Kampen theorem. Zbl 0299.55002 Althoen, Steven C. 5 1975 A geometrical realization of a construction of Bass and Serre. Zbl 0338.20065 Althoen, Steven C. 2 1974 all cited Publications top 5 cited Publications all top 5 Cited by 53 Authors 5 Pumplün, Susanne 3 Althoen, Steven C. 3 Rochdi, Abdellatif 3 Tvalavadze, Marina V. 2 Ahmed, Houida 2 Ba, Alhousseynou 2 Bekbaev, Ural Dj. 2 Cuenca Mira, José Antonio 2 Diabang, André Souleye 2 Dieterich, Ernst 2 Diompy, Mankagna Albert 2 Grcar, Joseph F. 2 Napedenina, Ekaterina 2 Rakhimov, Isamiddin Sattarovich 1 Astier, Vincent 1 Balanov, Zalman I. 1 Bataille, Marc 1 Bering, Edgar Andrew IV 1 Berlińska, Joanna 1 Brown, Ronald 1 D’Alessandro, Flavio 1 Darpö, Erik 1 De Los Santos Villodres, R. 1 Fayz, O. 1 Gokal, D. 1 Hansen, Kasper D. 1 Jiménez-Gestal, Clara 1 Kaidi, El Amin Mokhtar 1 Khadim, Aneeqa 1 Krasnov, Yakov 1 Kugler, Lawrence D. 1 Lin, Zhengyan 1 Miguel García, Francisca 1 Moran, Shay 1 Moran, Shlomo 1 Moran, Tomer 1 Motya, Noureddine 1 Oziewicz, Zbigniew 1 Page, William Stewart 1 Pérez-Izquierdo, José María 1 Petersson, Holger P. 1 Petrov, N. I. 1 Rausch de Traubenberg, Michel 1 Roulston, Mark S. 1 Ruff, Hayden 1 Saghir, Aamir 1 Salleh, Abdul Razak 1 Schilling, Kenneth E. 1 Slupinski, Marcus J. 1 Stix, Jakob 1 Tian, Yongge 1 Verhulst, Nikolaas D. 1 Zastrow, Andreas all top 5 Cited in 30 Serials 3 Journal of Algebra 3 Linear Algebra and its Applications 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Results in Mathematics 2 Journal of Mathematical Sciences (New York) 2 Journal of Algebra and its Applications 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Archiv der Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Topology and its Applications 1 Physica D 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 International Journal of Algebra and Computation 1 European Journal of Operational Research 1 Historia Mathematica 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Knot Theory and its Ramifications 1 Advances in Applied Clifford Algebras 1 Algebras and Representation Theory 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Lobachevskii Journal of Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Quantum Information Processing 1 The College Mathematics Journal 1 Journal of Statistical Theory and Practice all top 5 Cited in 22 Fields 25 Nonassociative rings and algebras (17-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 3 Algebraic topology (55-XX) 3 Statistics (62-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year