Edit Profile (opens in new tab) Lam, Tsit-Yuen Compute Distance To: Compute Author ID: lam.tsit-yuen Published as: Lam, T. Y.; Lam, Tsit-Yuen; Lam, T.-Y.; Lam, Tsit Yuen; Lam, T. Homepage: https://math.berkeley.edu/~lam/html/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 138 Publications since 1966, including 13 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 50 Co-Authors with 99 Joint Publications 1,003 Co-Co-Authors all top 5 Co-Authors 40 single-authored 18 Khurana, Dinesh 17 Elman, Richard S. 14 Leroy, André Gérard 11 Choi, Man-Duen 9 Nielsen, Pace P. 9 Reznick, Bruce 7 Reiner, Irving 6 Wadsworth, Adrian R. 5 Swan, Richard Gordon 4 Leung, Ka Hin 3 Jain, Surender Kumar 3 Tignol, Jean-Pierre 3 Wang, Zhou 3 Zhou, Yiqiang 2 Bass, Hyman 2 Camillo, Victor P. 2 Chen, Jianlong 2 Filaseta, Michael A. 2 Leep, David B. 2 Matczuk, Jerzy 2 Nicholson, W. Keith 2 Prestel, Alexander 2 Reyes, Manuel L. 2 Shapiro, Daniel Byron 2 Smith, Tara L. 1 Alahmadi, Adel N. 1 Aleksandrov, Pavel Sergeevich 1 Arason, Jón Kristinn 1 Borisov, Alexander 1 Brewer, James W. 1 Calugareanu, Grigore Dumitru jun. 1 Danchev, Peter Vassilev 1 Dugas, Alex S. 1 Gilmer, Robert W. jun. 1 Grover, Harpreet K. 1 Gupta, Ram Niwas 1 Jacob, Bill 1 Jodeit, Max jun. 1 Khurana, Anjana 1 Kimberling, Clark H. 1 Knebusch, Manfred 1 Knus, Max-Albert 1 Kodiyalam, Vijay 1 Mac Lane, Leslie Saunders 1 Magid, Andy Roy 1 McShane, Edward James 1 Milgram, Richard James 1 Milnor, John Willard 1 Murray, Will 1 1 Ozturk, Adem 1 Reiner, T. 1 Robson, Robert O. 1 Rosenberg, Alex 1 Shomron, Noam 1 Siu, Man Keung 1 Smith, Martha K. 1 Šter, Janez 1 Taussky-Todd, Olga 1 Trifonov, Ognian 1 Van der Waerden, Bartel Leendert 1 Wigner, David all top 5 Serials 17 Journal of Algebra 6 Mathematische Zeitschrift 5 Journal of Pure and Applied Algebra 5 Journal of Algebra and its Applications 4 American Mathematical Monthly 4 Proceedings of the American Mathematical Society 4 Expositiones Mathematicae 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Graduate Texts in Mathematics 3 Problem Books in Mathematics 2 Communications in Algebra 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 American Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 L’Enseignement Mathématique. 2e Série 2 Notices of the American Mathematical Society 2 Algebras and Representation Theory 2 Bulletin of the American Mathematical Society 2 Contemporary Mathematics 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Mathematics Magazine 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Indagationes Mathematicae 1 Publications Mathématiques 1 Journal of Number Theory 1 Publicationes Mathematicae 1 Discrete & Computational Geometry 1 International Journal of Algebra and Computation 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Finite Fields and their Applications 1 The Bulletin of the Hong Kong Mathematical Society 1 Graduate Studies in Mathematics 1 Lecture Notes in Mathematics 1 Monographies de l’Enseignement Mathématique 1 Pure and Applied Mathematics, Marcel Dekker 1 Regional Conference Series in Mathematics 1 Springer Monographs in Mathematics all top 5 Fields 58 Associative rings and algebras (16-XX) 49 Number theory (11-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 Field theory and polynomials (12-XX) 18 Commutative algebra (13-XX) 13 Group theory and generalizations (20-XX) 11 Algebraic geometry (14-XX) 8 \(K\)-theory (19-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 5 Category theory; homological algebra (18-XX) 3 Algebraic topology (55-XX) 2 Nonassociative rings and algebras (17-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 4,195 times in 3,217 Documents Cited by ▼ Year ▼ Lectures on modules and rings. Zbl 0911.16001Lam, T. Y. 632 1999 A first course in noncommutative rings. Zbl 0728.16001Lam, T. Y. 405 1991 The algebraic theory of quadratic forms. Zbl 0259.10019Lam, T. Y. 373 1973 A first course in noncommutative rings. 2nd ed. Zbl 0980.16001Lam, T. Y. 366 2001 Introduction to quadratic forms over fields. Zbl 1068.11023Lam, T. Y. 239 2005 Serre’s conjecture. Zbl 0373.13004Lam, T. Y. 145 1978 Serre’s problem on projective modules. Zbl 1101.13001Lam, T. Y. 88 2005 Orderings, valuations and quadratic forms. Zbl 0516.12001Lam, T. Y. 82 1983 Pfister forms and \(K\)-theory of fields. Zbl 0246.15029Elman, Richard; Lam, T. Y. 68 1972 On vanishing sums of roots of unity. Zbl 1099.11510Lam, T. Y.; Leung, K. H. 64 2000 Sums of squares of real polynomials. Zbl 0821.11028Choi, M. D.; Lam, T. Y.; Reznick, B. 60 1995 Quadratic forms over formally real fields and Pythagorean fields. Zbl 0259.12101Elman, Richard; Lam, T. Y. 60 1972 Exercises in classical ring theory. 2nd ed. Zbl 1031.16001Lam, T. Y. 56 2003 Extremal positive semidefinite forms. Zbl 0347.15009Choi, Man-Duen; Lam, Tsit-Yuen 55 1977 Continuous modules are clean. Zbl 1114.16023Camillo, V. P.; Khurana, D.; Lam, T. Y.; Nicholson, W. K.; Zhou, Y. 52 2006 An introduction to real algebra. Zbl 0577.14016Lam, T. Y. 50 1984 The algebraic theory of quadratic forms. 2nd printing, with revisions. Zbl 0437.10006Lam, T. Y. 48 1980 On some Hasse principles over formally real fields. Zbl 0277.15013Elman, Richard; Lam, Tsit-Yuen; Prestel, Alexander 48 1973 Primeness, semiprimeness and prime radical of Ore extensions. Zbl 0879.16016Lam, T. Y.; Leroy, A.; Matczuk, J. 48 1997 Vandermonde and Wronskian matrices over division rings. Zbl 0657.15015Lam, T. Y.; Leroy, A. 47 1988 A crash course on stable range, cancellation, substitution and exchange. Zbl 1072.16013Lam, T. Y. 47 2004 Induction theorems for Grothendieck groups and Whitehead groups of finite groups. Zbl 0164.02703Lam, Tsit-Yuen 40 1968 Quadratic forms under algebraic extensions. Zbl 0302.10025Elman, Richard; Lam, T. Y. 38 1976 Rings with unipotent units. Zbl 1374.16089Danchev, Peter Vassilev; Lam, Tsit-Yuen 34 2016 Even symmetric sextics. Zbl 0654.10024Choi, M. D.; Lam, T. Y.; Reznick, Bruce 32 1987 The Pythagoras number of some affine algebras and local algebras. Zbl 0499.12018Choi, M. D.; Dai, Z. D.; Lam, T. Y.; Reznick, B. 32 1982 Rings with internal cancellation. Zbl 1076.16004Khurana, Dinesh; Lam, T. Y. 32 2005 Clean matrices and unit-regular matrices. Zbl 1067.16050Khurana, Dinesh; Lam, T. Y. 29 2004 A general theory of Vandermonde matrices. Zbl 0598.15015Lam, T. Y. 28 1986 Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsaworth, Adrian R. 28 1983 Real zeros for positive semidefinite forms. I. Zbl 0415.10018Choi, Man-Duen; Lam, Tsit-Yuen; Reznick, Bruce 27 1980 Biquaternion algebras and quartic extensions. Zbl 0801.11048Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre 27 1993 Artin exponent of finite groups. Zbl 0277.20006Lam, Tsit-Yuen 26 1968 Exercises in modules and rings. Zbl 1121.16001Lam, T. Y. 26 2007 Classification theorems for quadratic forms over fields. Zbl 0297.15024Elman, Richard; Lam, T. Y. 25 1974 Quadratic forms and the u-invariant. Zbl 0267.10029Elman, Richard; Lam, T. Y. 25 1973 On the cyclotomic polynomial \(\Phi_{pq}(X)\). Zbl 0868.11016Lam, T. Y.; Leung, K. H. 25 1996 Quasi-duo rings and stable range descent. Zbl 1071.16003Lam, T. Y.; Dugas, Alex S. 25 2005 Quadratic forms and the u-invariant. I. Zbl 0244.10020Elman, Richard; Lam, Tsit-Yuen 24 1973 Orderings under field extensions. Zbl 0398.12019Elman, R.; Lam, T. Y.; Wadsworth, A. R. 23 1979 On the irreducibility of the generalized Laguerre polynomials. Zbl 1010.12001Filaseta, M.; Lam, T.-Y. 23 2002 Modules with isomorphic multiples and rings with isomorphic matrix rings. A survey. Zbl 0962.16002Lam, Tsit-Yuen 20 1999 Multiplicative maps of matrix semi-groups. Zbl 0176.29502Jodeit, M. jun.; Lam, T. Y. 20 1969 Wedderburn polynomials over division rings. I. Zbl 1047.16010Lam, T. Y.; Leroy, André 19 2004 Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture or Snapper. Zbl 0373.05009Lam, T. Y. 17 1977 Euclidean pairs and quasi-Euclidean rings. Zbl 1318.16036Alahmadi, Adel; Jain, S. K.; Lam, T. Y.; Leroy, A. 15 2014 The theory of ordered fields. Zbl 0442.12024Lam, T. Y. 15 1980 Exercises in classical ring theory. Zbl 0823.16001Lam, T. Y. 15 1994 Jacobson’s Lemma for Drazin inverses. Zbl 1294.15005Lam, T. Y.; Nielsen, Pace P. 14 2014 An old question of Hilbert. Zbl 0382.12010Choi, Man-Duen; Lam, Tsit-Yuen 13 1977 Quadratic forms under multiquadratic extensions. Zbl 0425.10021Elman, Richard; Lam, T. Y.; Wadsworth, Adrian R. 13 1980 Hilbert 90 theorems over division rings. Zbl 0820.16024Lam, T. Y.; Leroy, A. 13 1994 Algebraic conjugacy classes and skew polynomial rings. Zbl 0694.16002Lam, T. Y.; Leroy, André 13 1988 A prime ideal principle in commutative algebra. Zbl 1168.13002Lam, T. Y.; Reyes, Manuel L. 13 2008 Wedderburn polynomials over division rings. II. Zbl 1173.16011Lam, T. Y.; Leroy, A.; Ozturk, A. 13 2008 \(K_0\) and \(K_1\) - an introduction to algebraic \(K\)-theory. Zbl 0323.18006Lam, T. Y.; Siu, M. K. 12 1975 Sums of squares in some integral domains. Zbl 0433.10010Choi, M. D.; Lam, T. Y.; Reznick, B.; Rosenberg, Alex 12 1980 Levels in algebra and topology. Zbl 0546.10017Dai, Z. D.; Lam, T. Y. 12 1984 Discriminants of involutions on biquaternion algebras. Zbl 0828.11023Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P. 12 1995 Function fields of Pfister forms. Zbl 0395.10028Elman, R.; Lam, T. Y.; Wadsworth, A. R. 11 1979 Rings of idempotent stable range one. Zbl 1255.16013Wang, Zhou; Chen, Jianlong; Khurana, Dinesh; Lam, Tsit-Yuen 11 2012 Relative Grothendieck groups. Zbl 0185.06901Lam, T. Y.; Reiner, Irving 11 1969 On the linkage of quaternion algebras. Zbl 1044.16012Lam, T. Y. 11 2002 Series summation of stably free modules. Zbl 0316.16025Lam, T. Y. 11 1976 Fine rings: a new class of simple rings. Zbl 1397.16036Călugăreanu, G.; Lam, T. Y. 9 2016 Levels in algebra and topology. Zbl 0435.10016Dai, Z. D.; Lam, T. Y.; Peng, C. K. 9 1980 Homomorphisms between Ore extensions. Zbl 0746.16023Lam, T. Y.; Leroy, A. 9 1992 Exchange elements in rings, and the equation \(XA-BX=I\). Zbl 1396.16033Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P. 9 2017 A theorem of Burnside on matrix rings. Zbl 0913.15011Lam, T. Y. 9 1998 Corner ring theory: a generalization of Peirce decompositions. I. Zbl 1121.16011Lam, T. Y. 8 2006 Amenable fields and Pfister extensions. Appendix I: Excellent subrings of Witt rings. Appendix II: Excellence of \(F(\varphi)/F\) for 2-fold Pfister forms (by Jon Kr. Arason). Zbl 0385.12010Elman, Richard; Lam, T.-Y.; Wadsworth, Adrian R. 8 1977 Ten lectures on quadratic forms over fields. Zbl 0396.10008Lam, T. Y. 8 1977 Pfister ideals in Witt rings. Zbl 0401.10032Elman, R.; Lam, T. Y.; Wadsworth, A. R. 8 1979 Rings of square stable range one. Zbl 1237.19004Khurana, Dinesh; Lam, T. Y.; Wang, Zhou 8 2011 Unit regular elements in corner rings. Zbl 0923.16010Lam, T. Y.; Murray, Will 8 1997 Representations of finite groups: A hundred years. I, II. Zbl 0924.01008Lam, T. Y. 8 1998 An ensemble of idempotent lifting hypotheses. Zbl 1416.16011Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P. 7 2018 Invariant and semi-invariant polynomials in skew polynomial rings. Zbl 0685.16006Lam, T. Y.; Leung, K. H.; Leroy, A.; Matczuk, J. 7 1989 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 Reduction theorems for relative Grothendieck rings. Zbl 0185.06802Lam, T. Y.; Reiner, Irving 7 1969 Hamilton’s quaternions. Zbl 1076.16015Lam, T. Y. 7 2003 Sums of units in rings. Zbl 1295.16024Grover, Harpreet K.; Wang, Zhou; Khurana, Dinesh; Chen, Jianlong; Lam, T. Y. 6 2014 On the quaternion symbol homomorphism \(g_F: k_2F \rightarrow B(F)\). Zbl 0267.10030Elman, Richard; Lam, T. Y. 6 1973 Principal one-sided ideals in Ore polynomial rings. Zbl 0967.16015Lam, T. Y.; Leroy, André 5 2000 Finite groups embeddable in division rings. Zbl 1002.12003Lam, T. Y. 5 2001 Relative Grothendieck rings. Zbl 0177.04503Lam, T. Y.; Reiner, Irving 5 1969 Finite generation of Grothendieck rings relative to cyclic subgroups. Zbl 0186.04602Lam, T. Y.; Reiner, Irving 5 1969 Restriction maps on relative Grothendieck rings. Zbl 0187.29801Lam, T. Y.; Reiner, Irving 5 1970 Sums of \(2m\)-th powers of rational functions in one variable over real closed fields. Zbl 0859.12002Choi, M. D.; Lam, T. Y.; Prestel, A.; Reznick, B. 5 1996 Special clean elements in rings. Zbl 1460.16043Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Šter, Janez 5 2020 Generalized commutators in matrix rings. Zbl 1255.15015Khurana, Dinesh; Lam, T. Y. 5 2012 Determinantal ideals, Pfaffian ideals, and the principal minor theorem. Zbl 1147.15300Kodiyalam, Vijay; Lam, T. Y.; Swan, R. G. 5 2008 Lattice polytopes with distinct pair-sums. Zbl 1002.52013Choi, M. D.; Lam, T. Y.; Reznick, B. 5 2002 On Yuzvinsky’s monomial pairings. Zbl 0802.11013Lam, T. Y.; Smith, Tara L. 5 1993 Fields of \(u\)-invariant 6 after A. Merkurjev. Zbl 0683.10018Lam, T. Y. 4 1989 Uniquely clean elements in rings. Zbl 1335.16025Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Zhou, Yiqiang 4 2015 On the Clifford-Littlewood-Eckmann groups: A new look at periodicity mod 8. Zbl 0726.11025Lam, T. Y.; Smith, Tara 4 1989 Determination of \(k_ n (n \geq 3)\) for global fields. Zbl 0207.34901Elman, R.; Lam, T. Y. 4 1972 Rings over which the transpose of every invertible matrix is invertible. Zbl 1182.16033Gupta, R. N.; Khurana, Anjana; Khurana, Dinesh; Lam, T. Y. 4 2009 Inner inverses and inner annihilators in rings. Zbl 1327.16023Lam, T. Y.; Nielsen, Pace P. 3 2014 Special clean elements in rings. Zbl 1460.16043Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Šter, Janez 5 2020 Jacobson pairs and Bott-Duffin decompositions in rings. Zbl 1429.16008Lam, T. Y.; Nielsen, Pace P. 1 2019 An ensemble of idempotent lifting hypotheses. Zbl 1416.16011Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P. 7 2018 Exchange elements in rings, and the equation \(XA-BX=I\). Zbl 1396.16033Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P. 9 2017 Rings with unipotent units. Zbl 1374.16089Danchev, Peter Vassilev; Lam, Tsit-Yuen 34 2016 Fine rings: a new class of simple rings. Zbl 1397.16036Călugăreanu, G.; Lam, T. Y. 9 2016 Exchange rings, exchange equations, and lifting properties. Zbl 1372.16042Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P. 3 2016 Uniquely clean elements in rings. Zbl 1335.16025Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Zhou, Yiqiang 4 2015 Two-sided properties of elements in exchange rings. Zbl 1337.16007Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P. 3 2015 Euclidean pairs and quasi-Euclidean rings. Zbl 1318.16036Alahmadi, Adel; Jain, S. K.; Lam, T. Y.; Leroy, A. 15 2014 Jacobson’s Lemma for Drazin inverses. Zbl 1294.15005Lam, T. Y.; Nielsen, Pace P. 14 2014 Sums of units in rings. Zbl 1295.16024Grover, Harpreet K.; Wang, Zhou; Khurana, Dinesh; Chen, Jianlong; Lam, T. Y. 6 2014 Inner inverses and inner annihilators in rings. Zbl 1327.16023Lam, T. Y.; Nielsen, Pace P. 3 2014 Rings of idempotent stable range one. Zbl 1255.16013Wang, Zhou; Chen, Jianlong; Khurana, Dinesh; Lam, Tsit-Yuen 11 2012 Generalized commutators in matrix rings. Zbl 1255.15015Khurana, Dinesh; Lam, T. Y. 5 2012 A quantum-trace determinantal formula for matrix commutators, and applications. Zbl 1236.15018Khurana, Dinesh; Lam, T. Y.; Shomron, Noam 2 2012 A short proof that continuous modules are clean. Zbl 1300.16031Camillo, V. P.; Khurana, D.; Lam, T. Y.; Nicholson, W. K.; Zhou, Y. 1 2012 Rings of square stable range one. Zbl 1237.19004Khurana, Dinesh; Lam, T. Y.; Wang, Zhou 8 2011 Invertible commutators in matrix rings. Zbl 1216.15010Khurana, Dinesh; Lam, T. Y. 3 2011 Collected papers of John Milnor. V: Algebra. Edited by Hyman Bass and T. Y. Lam. Zbl 1208.01050Milnor, John 3 2010 Rings over which the transpose of every invertible matrix is invertible. Zbl 1182.16033Gupta, R. N.; Khurana, Anjana; Khurana, Dinesh; Lam, T. Y. 4 2009 Ore extensions and \(V\)-domains. Zbl 1182.16020Jain, S. K.; Lam, T. Y.; Leroy, A. 2 2009 Oka and Ako ideal families in commutative rings. Zbl 1182.13003Lam, T. Y.; Reyes, Manuel L. 2 2009 A prime ideal principle in commutative algebra. Zbl 1168.13002Lam, T. Y.; Reyes, Manuel L. 13 2008 Wedderburn polynomials over division rings. II. Zbl 1173.16011Lam, T. Y.; Leroy, A.; Ozturk, A. 13 2008 Determinantal ideals, Pfaffian ideals, and the principal minor theorem. Zbl 1147.15300Kodiyalam, Vijay; Lam, T. Y.; Swan, R. G. 5 2008 Exercises in modules and rings. Zbl 1121.16001Lam, T. Y. 26 2007 Continuous modules are clean. Zbl 1114.16023Camillo, V. P.; Khurana, D.; Lam, T. Y.; Nicholson, W. K.; Zhou, Y. 52 2006 Corner ring theory: a generalization of Peirce decompositions. I. Zbl 1121.16011Lam, T. Y. 8 2006 Introduction to quadratic forms over fields. Zbl 1068.11023Lam, T. Y. 239 2005 Serre’s problem on projective modules. Zbl 1101.13001Lam, T. Y. 88 2005 Rings with internal cancellation. Zbl 1076.16004Khurana, Dinesh; Lam, T. Y. 32 2005 Quasi-duo rings and stable range descent. Zbl 1071.16003Lam, T. Y.; Dugas, Alex S. 25 2005 A crash course on stable range, cancellation, substitution and exchange. Zbl 1072.16013Lam, T. Y. 47 2004 Clean matrices and unit-regular matrices. Zbl 1067.16050Khurana, Dinesh; Lam, T. Y. 29 2004 Wedderburn polynomials over division rings. I. Zbl 1047.16010Lam, T. Y.; Leroy, André 19 2004 On subgroups of prime index. Zbl 1086.20015Lam, T. Y. 3 2004 Exercises in classical ring theory. 2nd ed. Zbl 1031.16001Lam, T. Y. 56 2003 Hamilton’s quaternions. Zbl 1076.16015Lam, T. Y. 7 2003 On the irreducibility of the generalized Laguerre polynomials. Zbl 1010.12001Filaseta, M.; Lam, T.-Y. 23 2002 On the linkage of quaternion algebras. Zbl 1044.16012Lam, T. Y. 11 2002 Lattice polytopes with distinct pair-sums. Zbl 1002.52013Choi, M. D.; Lam, T. Y.; Reznick, B. 5 2002 A first course in noncommutative rings. 2nd ed. Zbl 0980.16001Lam, T. Y. 366 2001 Finite groups embeddable in division rings. Zbl 1002.12003Lam, T. Y. 5 2001 On vanishing sums of roots of unity. Zbl 1099.11510Lam, T. Y.; Leung, K. H. 64 2000 Principal one-sided ideals in Ore polynomial rings. Zbl 0967.16015Lam, T. Y.; Leroy, André 5 2000 On the equality row rank and column rank. Zbl 0955.15001Lam, T. Y. 1 2000 Lectures on modules and rings. Zbl 0911.16001Lam, T. Y. 632 1999 Modules with isomorphic multiples and rings with isomorphic matrix rings. A survey. Zbl 0962.16002Lam, Tsit-Yuen 20 1999 Classes of polynomials having only one non-cyclotomic irreducible factor. Zbl 0935.11039Borisov, A.; Filaseta, M.; Lam, T. Y.; Trifonov, O. 1 1999 A theorem of Burnside on matrix rings. Zbl 0913.15011Lam, T. Y. 9 1998 Representations of finite groups: A hundred years. I, II. Zbl 0924.01008Lam, T. Y. 8 1998 On uniform dimensions of ideals in right nonsingular rings. Zbl 0931.16001Jain, S. K.; Lam, T. Y.; Leroy, André 2 1998 Primeness, semiprimeness and prime radical of Ore extensions. Zbl 0879.16016Lam, T. Y.; Leroy, A.; Matczuk, J. 48 1997 Unit regular elements in corner rings. Zbl 0923.16010Lam, T. Y.; Murray, Will 8 1997 On the cyclotomic polynomial \(\Phi_{pq}(X)\). Zbl 0868.11016Lam, T. Y.; Leung, K. H. 25 1996 Sums of \(2m\)-th powers of rational functions in one variable over real closed fields. Zbl 0859.12002Choi, M. D.; Lam, T. Y.; Prestel, A.; Reznick, B. 5 1996 Recognition and computations of matrix rings. Zbl 0883.16020Lam, T. Y.; Leroy, André 3 1996 Vanishing sums of \(m\)th roots of unity in finite fields. Zbl 0916.11018Lam, T. Y.; Leung, K. H. 1 1996 Sums of squares of real polynomials. Zbl 0821.11028Choi, M. D.; Lam, T. Y.; Reznick, B. 60 1995 Discriminants of involutions on biquaternion algebras. Zbl 0828.11023Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P. 12 1995 A lifting theorem, and rings with isomorphic matrix rings. Zbl 0902.16026Lam, T. Y. 2 1995 Exercises in classical ring theory. Zbl 0823.16001Lam, T. Y. 15 1994 Hilbert 90 theorems over division rings. Zbl 0820.16024Lam, T. Y.; Leroy, A. 13 1994 Biquaternion algebras and quartic extensions. Zbl 0801.11048Lam, Tsit Yuen; Leep, David B.; Tignol, Jean-Pierre 27 1993 On Yuzvinsky’s monomial pairings. Zbl 0802.11013Lam, T. Y.; Smith, Tara L. 5 1993 Combinatorial structure on the automorphism group of \(S_ 6\). Zbl 0819.20004Lam, T. Y.; Leep, David B. 3 1993 Homomorphisms between Ore extensions. Zbl 0746.16023Lam, T. Y.; Leroy, A. 9 1992 A first course in noncommutative rings. Zbl 0728.16001Lam, T. Y. 405 1991 Positive sextics and Schur’s inequalities. Zbl 0784.11013Choi, M. D.; Lam, T. Y.; Reznick, B. 2 1991 Invariant and semi-invariant polynomials in skew polynomial rings. Zbl 0685.16006Lam, T. Y.; Leung, K. H.; Leroy, A.; Matczuk, J. 7 1989 Fields of \(u\)-invariant 6 after A. Merkurjev. Zbl 0683.10018Lam, T. Y. 4 1989 On the Clifford-Littlewood-Eckmann groups: A new look at periodicity mod 8. Zbl 0726.11025Lam, T. Y.; Smith, Tara 4 1989 Vandermonde and Wronskian matrices over division rings. Zbl 0657.15015Lam, T. Y.; Leroy, A. 47 1988 Algebraic conjugacy classes and skew polynomial rings. Zbl 0694.16002Lam, T. Y.; Leroy, André 13 1988 On the number of solutions of \(x^{p^ k}=a\) in a p-group. Zbl 0632.20014Lam, T. Y. 2 1988 Vandermonde and Wronskian matrices over division rings. Zbl 0659.15013Lam, T. Y.; Leroy, A. 1 1988 Even symmetric sextics. Zbl 0654.10024Choi, M. D.; Lam, T. Y.; Reznick, Bruce 32 1987 A general theory of Vandermonde matrices. Zbl 0598.15015Lam, T. Y. 28 1986 An introduction to real algebra. Zbl 0577.14016Lam, T. Y. 50 1984 Levels in algebra and topology. Zbl 0546.10017Dai, Z. D.; Lam, T. Y. 12 1984 Orderings, valuations and quadratic forms. Zbl 0516.12001Lam, T. Y. 82 1983 Witt rings and Brauer groups under multiquadratic extensions. I. Zbl 0492.10014Elman, Richard; Lam, T. Y.; Tignol, J.-P.; Wadsaworth, Adrian R. 28 1983 The Pythagoras number of some affine algebras and local algebras. Zbl 0499.12018Choi, M. D.; Dai, Z. D.; Lam, T. Y.; Reznick, B. 32 1982 The square class invariant for pythagorean fields. Zbl 0493.10024Shapiro, Daniel B.; Lam, T.-Y. 1 1982 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 The algebraic theory of quadratic forms. 2nd printing, with revisions. Zbl 0437.10006Lam, T. Y. 48 1980 Real zeros for positive semidefinite forms. I. Zbl 0415.10018Choi, Man-Duen; Lam, Tsit-Yuen; Reznick, Bruce 27 1980 The theory of ordered fields. Zbl 0442.12024Lam, T. Y. 15 1980 Quadratic forms under multiquadratic extensions. Zbl 0425.10021Elman, Richard; Lam, T. Y.; Wadsworth, Adrian R. 13 1980 Sums of squares in some integral domains. Zbl 0433.10010Choi, M. D.; Lam, T. Y.; Reznick, B.; Rosenberg, Alex 12 1980 Levels in algebra and topology. Zbl 0435.10016Dai, Z. D.; Lam, T. Y.; Peng, C. K. 9 1980 Orderings under field extensions. Zbl 0398.12019Elman, R.; Lam, T. Y.; Wadsworth, A. R. 23 1979 Function fields of Pfister forms. Zbl 0395.10028Elman, R.; Lam, T. Y.; Wadsworth, A. R. 11 1979 Pfister ideals in Witt rings. Zbl 0401.10032Elman, R.; Lam, T. Y.; Wadsworth, A. R. 8 1979 Serre’s conjecture. Zbl 0373.13004Lam, T. Y. 145 1978 Extremal positive semidefinite forms. Zbl 0347.15009Choi, Man-Duen; Lam, Tsit-Yuen 55 1977 Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture or Snapper. Zbl 0373.05009Lam, T. Y. 17 1977 An old question of Hilbert. Zbl 0382.12010Choi, Man-Duen; Lam, Tsit-Yuen 13 1977 Amenable fields and Pfister extensions. Appendix I: Excellent subrings of Witt rings. Appendix II: Excellence of \(F(\varphi)/F\) for 2-fold Pfister forms (by Jon Kr. Arason). Zbl 0385.12010Elman, Richard; Lam, T.-Y.; Wadsworth, Adrian R. 8 1977 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,881 Authors 52 Lam, Tsit-Yuen 36 Zhou, Yiqiang 31 Chen, Huanyin 28 Khurana, Dinesh 28 Nielsen, Pace P. 26 Danchev, Peter Vassilev 26 Leroy, André Gérard 24 Moussavi, Ahmad 23 Mao, Lixin 23 Tignol, Jean-Pierre 22 Birkenmeier, Gary Francis 22 Sivatski, Alexander S. 21 Hashemi, Ebrahim 21 Parimala, Raman 19 Alhevaz, Abdollah 19 Leep, David B. 19 Paykan, Kamal 18 Chapman, Adam 18 Koşan, Muhammet Tamer 17 Becher, Karim Johannes 17 Craven, Thomas C. 17 Elman, Richard S. 17 Jain, Surender Kumar 17 Marshall, Murray Angus 17 Mináč, Ján 16 Rizvi, Syed Tariq 16 Yousif, Mohamed F. 15 Facchini, Alberto 15 Hazrat, Roozbeh 15 Matczuk, Jerzy 15 Pumplün, Susanne 15 Wadsworth, Adrian R. 14 Kim, Nam Kyun 14 Lee, Yang 14 Lewis, David W. 14 Mazurek, Ryszard 14 Rao, Ravi A. 14 Scheiderer, Claus 14 Siles Molina, Mercedes 14 Srivastava, Ashish Kumar 14 Zeng, Guangxing 14 Ziembowski, Michał 13 Akbari, Saieed 13 Behboodi, Mahmood 13 Colliot-Thélène, Jean-Louis 13 Ding, Nanqing 13 Hoffmann, Detlev W. 13 Klep, Igor 13 Rangaswamy, Kulumani M. 13 Tercan, Adnan 13 Tuganbaev, Askar Akanovich 13 Ware, Roger 12 Ibrahim, Yasser F. 12 Mai Hoang Bien 12 Shapiro, Daniel Byron 11 Arason, Jón Kristinn 11 Chen, Jianlong 11 Jacob, Bill 11 López-Permouth, Sergio Roberto 11 Nashier, Budh Singh 11 Park, Jae Keol 11 Quynh, Truong Cong 11 Sabadini, Irene 11 Vaš, Lia 11 Werner, Nicholas J. 10 Calugareanu, Grigore Dumitru jun. 10 Fitzgerald, Robert W. 10 Hong, Chan Yong 10 Laghribi, Ahmed 10 Leung, Ka Hin 10 Mahdavi-Hezavehi, M. 10 Nam, Tran Giang 10 Nicholson, W. Keith 10 Reyes, Manuel L. 10 Reznick, Bruce 10 Sheibani Abdolyousefi, Marjan 10 Tribak, Rachid 10 Unger, Thomas P. 9 Alahmadi, Adel N. 9 Bolotnikov, Vladimir 9 Bui Xuan Hai 9 Büyükasik, Engin 9 Colombo, Fabrizio 9 Diesl, Alexander J. 9 Habibi, Mohammad Hassan 9 Marks, Greg 9 Nazemian, Zahra 9 Okniński, Jan 8 Chernousov, Vladimir I. 8 Elduque, Alberto 8 Gentili, Graziano 8 Gluesing-Luerssen, Heide 8 Kadison, Lars 8 Keskin Tutuncu, Derya 8 Kiani, Dariush 8 Koprowski, Przemysław 8 Lee, Tsiu-Kwen 8 Lombardi, Henri 8 Merkur’ev, Aleksandr Sergeevich 8 Moradzadeh-Dehkordi, Ali ...and 2,781 more Authors all top 5 Cited in 384 Serials 490 Journal of Algebra 327 Communications in Algebra 218 Journal of Pure and Applied Algebra 165 Journal of Algebra and its Applications 106 Linear Algebra and its Applications 79 Proceedings of the American Mathematical Society 75 Transactions of the American Mathematical Society 71 Mathematische Zeitschrift 50 Advances in Mathematics 46 Israel Journal of Mathematics 38 Manuscripta Mathematica 36 Mathematische Annalen 35 Archiv der Mathematik 34 Algebras and Representation Theory 32 Journal of Number Theory 30 Inventiones Mathematicae 27 Linear and Multilinear Algebra 21 Indagationes Mathematicae. New Series 20 Rocky Mountain Journal of Mathematics 20 Journal of Symbolic Computation 19 Glasgow Mathematical Journal 19 Designs, Codes and Cryptography 19 Journal of Mathematical Sciences (New York) 19 Asian-European Journal of Mathematics 18 Compositio Mathematica 17 Advances in Applied Clifford Algebras 16 Bulletin of the Australian Mathematical Society 14 Bulletin of the Korean Mathematical Society 14 Finite Fields and their Applications 13 Systems & Control Letters 12 Duke Mathematical Journal 11 Discrete Mathematics 11 Journal of Soviet Mathematics 11 Hacettepe Journal of Mathematics and Statistics 11 Mediterranean Journal of Mathematics 11 International Electronic Journal of Algebra (IEJA) 10 Annales de l’Institut Fourier 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Results in Mathematics 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Expositiones Mathematicae 10 International Journal of Number Theory 9 Topology and its Applications 9 Acta Mathematica Hungarica 9 Journal of the American Mathematical Society 9 Communications of the Korean Mathematical Society 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Combinatorial Theory. Series A 8 Journal of Functional Analysis 8 Journal für die Reine und Angewandte Mathematik 8 Quaestiones Mathematicae 8 \(K\)-Theory 8 Forum Mathematicum 8 Journal de Théorie des Nombres de Bordeaux 8 Algebra Colloquium 8 Algebraic & Geometric Topology 8 Frontiers of Mathematics in China 8 Journal of \(K\)-Theory 7 American Mathematical Monthly 7 Journal of Mathematical Analysis and Applications 7 Journal of Mathematical Physics 7 Mathematical Notes 7 Ukrainian Mathematical Journal 7 The Journal of Geometric Analysis 7 Aequationes Mathematicae 7 Documenta Mathematica 7 Open Systems & Information Dynamics 6 Czechoslovak Mathematical Journal 6 Publications Mathématiques 6 International Journal of Mathematics and Mathematical Sciences 6 Journal of Geometry 6 Mathematische Nachrichten 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Rendiconti del Seminario Matematico della Università di Padova 6 Semigroup Forum 6 Bulletin of the Iranian Mathematical Society 6 Science in China. Series A 6 International Journal of Algebra and Computation 6 Applied Categorical Structures 6 Representation Theory 6 JP Journal of Algebra, Number Theory and Applications 6 Bulletin of the American Mathematical Society 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of Geometry and Physics 5 Beiträge zur Algebra und Geometrie 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Automatica 5 Journal of the Korean Mathematical Society 5 Le Matematiche 5 Memoirs of the American Mathematical Society 5 Discrete & Computational Geometry 5 SIAM Journal on Optimization 5 Journal of Noncommutative Geometry 5 Journal of Commutative Algebra 4 Archive for Rational Mechanics and Analysis 4 Discrete Applied Mathematics 4 Indian Journal of Pure & Applied Mathematics 4 International Journal of Theoretical Physics 4 Mathematics of Computation ...and 284 more Serials all top 5 Cited in 58 Fields 1,489 Associative rings and algebras (16-XX) 754 Number theory (11-XX) 538 Commutative algebra (13-XX) 420 Field theory and polynomials (12-XX) 405 Group theory and generalizations (20-XX) 356 Algebraic geometry (14-XX) 295 Linear and multilinear algebra; matrix theory (15-XX) 175 \(K\)-theory (19-XX) 169 Combinatorics (05-XX) 168 Category theory; homological algebra (18-XX) 153 Nonassociative rings and algebras (17-XX) 92 Order, lattices, ordered algebraic structures (06-XX) 67 Functional analysis (46-XX) 66 Information and communication theory, circuits (94-XX) 60 Algebraic topology (55-XX) 55 Computer science (68-XX) 53 Systems theory; control (93-XX) 51 Operations research, mathematical programming (90-XX) 45 Mathematical logic and foundations (03-XX) 45 Topological groups, Lie groups (22-XX) 42 Functions of a complex variable (30-XX) 40 Operator theory (47-XX) 40 Geometry (51-XX) 40 Manifolds and cell complexes (57-XX) 37 Quantum theory (81-XX) 35 Numerical analysis (65-XX) 29 Several complex variables and analytic spaces (32-XX) 29 Convex and discrete geometry (52-XX) 28 General topology (54-XX) 18 Special functions (33-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Abstract harmonic analysis (43-XX) 18 Differential geometry (53-XX) 17 Partial differential equations (35-XX) 15 Real functions (26-XX) 11 Ordinary differential equations (34-XX) 11 Approximations and expansions (41-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 History and biography (01-XX) 8 Difference and functional equations (39-XX) 7 General and overarching topics; collections (00-XX) 7 General algebraic systems (08-XX) 7 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 Measure and integration (28-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-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.