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## Hazrat, Roozbeh

Compute Distance To:
 Author ID: hazrat.roozbeh Published as: Hazrat, R.; Hazrat, Roozbeh Homepage: https://www.westernsydney.edu.au/staff_profiles/uws_profiles/professor_roozbeh_h... External Links: MGP · Math-Net.Ru · Wikidata · ORCID · GND
 Documents Indexed: 61 Publications since 1999, including 4 Books
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#### Co-Authors

 17 single-authored 12 Vavilov, Nikolaĭ Aleksandrovich 10 Zhang, Zuhong 5 Li, Huanhuan 5 Wadsworth, Adrian R. 3 Orloff Clark, Lisa 3 Rangaswamy, Kulumani M. 3 Stepanov, Alexeĭ Vladimirovich 3 Vaš, Lia 2 Ambily, Ambattu Asokan 2 Ara, Pere 2 Mahdavi-Hezavehi, M. 2 Millar, Judith R. 2 Sims, Aidan 2 Srivastava, Ashish Kumar 1 Bak, Anthony 1 Bosa, Joan 1 Fletcher, James 1 Hoobler, Raymond Taylor 1 Huang, Ju 1 Hüttemann, Thomas 1 Mirzaii, Behrooz 1 Motiee, Mehran 1 Petrov, Vladimir E. 1 Preusser, Raimund 1 Rigby, Simon W. 1 Sury, Balasubramanian 1 Vishne, Uzi 1 Wilson, Robert E.
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#### Serials

 14 Journal of Algebra 7 Communications in Algebra 4 Israel Journal of Mathematics 4 Journal of Pure and Applied Algebra 3 Journal of Mathematical Sciences (New York) 2 Archiv der Mathematik 2 Forum Mathematicum 2 The New York Journal of Mathematics 2 Journal of Homotopy and Related Structures 2 Journal of $$K$$-Theory 2 Springer Undergraduate Mathematics Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Note di Matematica 1 $$K$$-Theory 1 Algebra Colloquium 1 Algebras and Representation Theory 1 Mathematical Proceedings of the Royal Irish Academy 1 Journal of Algebra and its Applications 1 London Mathematical Society Lecture Note Series 1 Algebra & Number Theory 1 Indian Statistical Institute Series
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#### Fields

 42 Associative rings and algebras (16-XX) 28 $$K$$-theory (19-XX) 20 Group theory and generalizations (20-XX) 9 Category theory; homological algebra (18-XX) 4 Combinatorics (05-XX) 4 Topological groups, Lie groups (22-XX) 3 Field theory and polynomials (12-XX) 2 Number theory (11-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### Citations contained in zbMATH

52 Publications have been cited 539 times in 213 Documents Cited by Year
$$K_{1}$$ of Chevalley groups are nilpotent. Zbl 1012.19001
Hazrat, Roozbeh; Vavilov, Nikolai
2003
Bak’s work on the $$K$$-theory of rings. Zbl 1183.19001
Hazrat, Roozbeh; Vavilov, Nikolai
2009
Dimension theory and nonstable $$K_{1}$$ of quadratic modules. Zbl 1020.19001
Hazrat, Roozbeh
2002
Hazrat, Roozbeh
2016
Localization-completion strikes again: relative $$K_1$$ is nilpotent by Abelian. Zbl 1167.19002
Bak, A.; Hazrat, R.; Vavilov, N.
2009
The graded structure of Leavitt path algebras. Zbl 1308.16005
Hazrat, R.
2013
The yoga of commutators. Zbl 1318.20049
Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z.
2011
Generalized commutator formulas. Zbl 1231.20049
Hazrat, R.; Zhang, Z.
2011
Relative unitary commutator calculus, and applications. Zbl 1245.20064
Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong
2011
Commutator width in Chevalley groups. Zbl 1294.20059
Hazrat, Roozbeh; Stepanov, Alexei; Vavilov, Nikolai; Zhang, Zuhong
2013
Relative subgroups in Chevalley groups. Zbl 1204.20066
Hazrat, R.; Petrov, V.; Vavilov, N.
2010
On maximal subgroups of the multiplicative group of a division algebra. Zbl 1190.16046
2009
Relative commutator calculus in Chevalley groups. Zbl 1292.20053
Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong
2013
Ara, Pere; Bosa, Joan; Hazrat, Roozbeh; Sims, Aidan
2017
Multiple commutator formulas. Zbl 1292.20054
Hazrat, Roozbeh; Zhang, Zuhong
2013
The graded Grothendieck group and the classification of Leavitt path algebras. Zbl 1262.16047
Hazrat, R.
2013
On graded irreducible representations of Leavitt path algebras. Zbl 1350.16006
Hazrat, Roozbeh; Rangaswamy, Kulumani M.
2016
Mathematica. A problem-centered approach. Zbl 1211.68518
Hazrat, Roozbeh
2010
Wedderburn’s factorization theorem. Application to reduced $$K$$-theory. Zbl 0990.16020
Hazrat, R.
2002
Graded Steinberg algebras and their representations. Zbl 1387.22005
Ara, Pere; Hazrat, Roozbeh; Li, Huanhuan; Sims, Aidan
2018
Generation of relative commutator subgroups in Chevalley groups. Zbl 1348.20055
Hazrat, R.; Vavilov, N.; Zhang, Z.
2016
Leavitt path algebras are graded von Neumann regular rings. Zbl 1303.16005
Hazrat, R.
2014
The yoga of commutators: further applications. Zbl 1316.20055
Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z.
2014
Multiple commutator formulas for unitary groups. Zbl 1403.20049
Hazrat, R.; Vavilov, Nikolai; Zhang, Z.
2017
$$\text{SK}_1$$ of graded division algebras. Zbl 1238.16019
2011
The commutators of classical groups. Zbl 1393.20023
Hazrat, R.; Vavilov, Nikolai; Zhang, Z.
2017
Triviality of the functor $$\text{coker}(K_1(F)\to K_1(D))$$ for division algebras. Zbl 1089.16014
Hazrat, Roozbeh; Vishne, Uzi
2005
$$SK_1$$-like functors for division algebras. Zbl 1021.16009
Hazrat, R.
2001
Reduced $$K$$-theory and the group $$G(D)=D^*/F^*D'$$. Zbl 0974.16013
Hazrat, R.; Mahdavi-Hezavehi, M.; Mirzaii, B.
1999
Baer and Baer $$\ast$$-ring characterizations of Leavitt path algebras. Zbl 1383.16024
Hazrat, Roozbeh; Vaš, Lia
2018
Applications of normal forms for weighted Leavitt path algebras: simple rings and domains. Zbl 1376.16026
Hazrat, Roozbeh; Preusser, Raimund
2017
The dynamics of Leavitt path algebras. Zbl 1294.16005
Hazrat, R.
2013
Unitary $$\text{SK}_1$$ of graded and valued division algebras. Zbl 1243.16020
2011
A note on $$K$$-theory of Azumaya algebras. Zbl 1202.16009
Hazrat, Roozbeh; Millar, Judith R.
2010
Nontriviality of certain quotients of $$K_1$$ groups of division algebras. Zbl 1125.16010
2007
Reduced $$K$$-theory of Azumaya algebras. Zbl 1112.16008
Hazrat, R.
2006
$$K$$-theory classification of graded ultramatricial algebras with involution. Zbl 07061177
Hazrat, Roozbeh; Vaš, Lia
2019
Graded Steinberg algebras and partial actions. Zbl 1393.22003
Hazrat, Roozbeh; Li, Huanhuan
2018
Leavitt path algebras: graded direct-finiteness and graded $$\Sigma$$-injective simple modules. Zbl 1440.16031
Hazrat, Roozbeh; Rangaswamy, Kulumani M.; Srivastava, Ashish K.
2018
Multiplicative groups of division rings. Zbl 1309.16011
Hazrat, R.; Mahdavi-Hezavehi, M.; Motiee, M.
2014
A note on the isomorphism conjectures for Leavitt path algebras. Zbl 1284.16004
Hazrat, R.
2013
$$K$$-theory of Azumaya algebras over schemes. Zbl 1300.14023
Hazrat, Roozbeh; Hoobler, Raymond T.
2013
On central series of the multiplicative group of division rings. Zbl 1021.16010
Hazrat, Roozbeh
2002
Simple flat Leavitt path algebras are von Neumann regular. Zbl 1448.16039
Ambily, Ambattu Asokan; Hazrat, Roozbeh; Li, Huanhuan
2019
Clark, Lisa Orloff; Hazrat, Roozbeh; Rigby, Simon W.
2019
A note on multiplicative commutators of division rings. Zbl 07058862
Hazrat, Roozbeh
2019
On Quillen’s calculation of graded $$K$$-theory. Zbl 1288.19003
Hazrat, Roozbeh; Hüttemann, Thomas
2013
$$\text{SK}_1$$ of Azumaya algebras over Hensel pairs. Zbl 1192.16006
Hazrat, Roozbeh
2010
On the first Galois cohomology group of the algebraic group $$\text{SL}_1(D)$$. Zbl 1145.16007
Hazrat, R.
2008
The talented monoid of a Leavitt path algebra. Zbl 07152390
Hazrat, Roozbeh; Li, Huanhuan
2020
$$\mathbb{Z}$$-graded rings as Cuntz-Pimsner rings. Zbl 07094030
Clark, Lisa Orloff; Fletcher, James; Hazrat, Roozbeh; Li, Huanhuan
2019
Stability of unitary $$\text{SK}_1$$ of Azumaya algebras. Zbl 1243.16021
Hazrat, Roozbeh
2012
The talented monoid of a Leavitt path algebra. Zbl 07152390
Hazrat, Roozbeh; Li, Huanhuan
2020
$$K$$-theory classification of graded ultramatricial algebras with involution. Zbl 07061177
Hazrat, Roozbeh; Vaš, Lia
2019
Simple flat Leavitt path algebras are von Neumann regular. Zbl 1448.16039
Ambily, Ambattu Asokan; Hazrat, Roozbeh; Li, Huanhuan
2019
Clark, Lisa Orloff; Hazrat, Roozbeh; Rigby, Simon W.
2019
A note on multiplicative commutators of division rings. Zbl 07058862
Hazrat, Roozbeh
2019
$$\mathbb{Z}$$-graded rings as Cuntz-Pimsner rings. Zbl 07094030
Clark, Lisa Orloff; Fletcher, James; Hazrat, Roozbeh; Li, Huanhuan
2019
Graded Steinberg algebras and their representations. Zbl 1387.22005
Ara, Pere; Hazrat, Roozbeh; Li, Huanhuan; Sims, Aidan
2018
Baer and Baer $$\ast$$-ring characterizations of Leavitt path algebras. Zbl 1383.16024
Hazrat, Roozbeh; Vaš, Lia
2018
Graded Steinberg algebras and partial actions. Zbl 1393.22003
Hazrat, Roozbeh; Li, Huanhuan
2018
Leavitt path algebras: graded direct-finiteness and graded $$\Sigma$$-injective simple modules. Zbl 1440.16031
Hazrat, Roozbeh; Rangaswamy, Kulumani M.; Srivastava, Ashish K.
2018
Ara, Pere; Bosa, Joan; Hazrat, Roozbeh; Sims, Aidan
2017
Multiple commutator formulas for unitary groups. Zbl 1403.20049
Hazrat, R.; Vavilov, Nikolai; Zhang, Z.
2017
The commutators of classical groups. Zbl 1393.20023
Hazrat, R.; Vavilov, Nikolai; Zhang, Z.
2017
Applications of normal forms for weighted Leavitt path algebras: simple rings and domains. Zbl 1376.16026
Hazrat, Roozbeh; Preusser, Raimund
2017
Hazrat, Roozbeh
2016
On graded irreducible representations of Leavitt path algebras. Zbl 1350.16006
Hazrat, Roozbeh; Rangaswamy, Kulumani M.
2016
Generation of relative commutator subgroups in Chevalley groups. Zbl 1348.20055
Hazrat, R.; Vavilov, N.; Zhang, Z.
2016
Leavitt path algebras are graded von Neumann regular rings. Zbl 1303.16005
Hazrat, R.
2014
The yoga of commutators: further applications. Zbl 1316.20055
Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z.
2014
Multiplicative groups of division rings. Zbl 1309.16011
Hazrat, R.; Mahdavi-Hezavehi, M.; Motiee, M.
2014
The graded structure of Leavitt path algebras. Zbl 1308.16005
Hazrat, R.
2013
Commutator width in Chevalley groups. Zbl 1294.20059
Hazrat, Roozbeh; Stepanov, Alexei; Vavilov, Nikolai; Zhang, Zuhong
2013
Relative commutator calculus in Chevalley groups. Zbl 1292.20053
Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong
2013
Multiple commutator formulas. Zbl 1292.20054
Hazrat, Roozbeh; Zhang, Zuhong
2013
The graded Grothendieck group and the classification of Leavitt path algebras. Zbl 1262.16047
Hazrat, R.
2013
The dynamics of Leavitt path algebras. Zbl 1294.16005
Hazrat, R.
2013
A note on the isomorphism conjectures for Leavitt path algebras. Zbl 1284.16004
Hazrat, R.
2013
$$K$$-theory of Azumaya algebras over schemes. Zbl 1300.14023
Hazrat, Roozbeh; Hoobler, Raymond T.
2013
On Quillen’s calculation of graded $$K$$-theory. Zbl 1288.19003
Hazrat, Roozbeh; Hüttemann, Thomas
2013
Stability of unitary $$\text{SK}_1$$ of Azumaya algebras. Zbl 1243.16021
Hazrat, Roozbeh
2012
The yoga of commutators. Zbl 1318.20049
Hazrat, R.; Stepanov, A. V.; Vavilov, N. A.; Zhang, Z.
2011
Generalized commutator formulas. Zbl 1231.20049
Hazrat, R.; Zhang, Z.
2011
Relative unitary commutator calculus, and applications. Zbl 1245.20064
Hazrat, Roozbeh; Vavilov, Nikolai; Zhang, Zuhong
2011
$$\text{SK}_1$$ of graded division algebras. Zbl 1238.16019
2011
Unitary $$\text{SK}_1$$ of graded and valued division algebras. Zbl 1243.16020
2011
Relative subgroups in Chevalley groups. Zbl 1204.20066
Hazrat, R.; Petrov, V.; Vavilov, N.
2010
Mathematica. A problem-centered approach. Zbl 1211.68518
Hazrat, Roozbeh
2010
A note on $$K$$-theory of Azumaya algebras. Zbl 1202.16009
Hazrat, Roozbeh; Millar, Judith R.
2010
$$\text{SK}_1$$ of Azumaya algebras over Hensel pairs. Zbl 1192.16006
Hazrat, Roozbeh
2010
Bak’s work on the $$K$$-theory of rings. Zbl 1183.19001
Hazrat, Roozbeh; Vavilov, Nikolai
2009
Localization-completion strikes again: relative $$K_1$$ is nilpotent by Abelian. Zbl 1167.19002
Bak, A.; Hazrat, R.; Vavilov, N.
2009
On maximal subgroups of the multiplicative group of a division algebra. Zbl 1190.16046
2009
On the first Galois cohomology group of the algebraic group $$\text{SL}_1(D)$$. Zbl 1145.16007
Hazrat, R.
2008
Nontriviality of certain quotients of $$K_1$$ groups of division algebras. Zbl 1125.16010
2007
Reduced $$K$$-theory of Azumaya algebras. Zbl 1112.16008
Hazrat, R.
2006
Triviality of the functor $$\text{coker}(K_1(F)\to K_1(D))$$ for division algebras. Zbl 1089.16014
Hazrat, Roozbeh; Vishne, Uzi
2005
$$K_{1}$$ of Chevalley groups are nilpotent. Zbl 1012.19001
Hazrat, Roozbeh; Vavilov, Nikolai
2003
Dimension theory and nonstable $$K_{1}$$ of quadratic modules. Zbl 1020.19001
Hazrat, Roozbeh
2002
Wedderburn’s factorization theorem. Application to reduced $$K$$-theory. Zbl 0990.16020
Hazrat, R.
2002
On central series of the multiplicative group of division rings. Zbl 1021.16010
Hazrat, Roozbeh
2002
$$SK_1$$-like functors for division algebras. Zbl 1021.16009
Hazrat, R.
2001
Reduced $$K$$-theory and the group $$G(D)=D^*/F^*D'$$. Zbl 0974.16013
Hazrat, R.; Mahdavi-Hezavehi, M.; Mirzaii, B.
1999
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#### Cited by 170 Authors

 43 Vavilov, Nikolaĭ Aleksandrovich 40 Hazrat, Roozbeh 16 Zhang, Zuhong 13 Stepanov, Alexeĭ Vladimirovich 10 Mahdavi-Hezavehi, M. 7 Fallah-Moghaddam, R. 7 Rangaswamy, Kulumani M. 7 Rao, Ravi A. 6 Luzgarev, A. Yu. 6 Preusser, Raimund 5 Bak, Anthony 5 Carlsen, Toke Meier 5 Li, Huanhuan 5 Orloff Clark, Lisa 5 Salimi, Mehdi 5 Sharifi, Somayeh 5 Vaš, Lia 5 Wadsworth, Adrian R. 4 Basu, Rabeya 4 Lännström, Daniel 4 Motiee, Mehran 4 Petrov, Viktor 4 Sinchuk, Sergeĭ Sergeevich 4 Srivastava, Ashish Kumar 4 Steinberg, Benjamin 3 Al-Zoubi, Khaldoun 3 Ambily, Ambattu Asokan 3 Dorbidi, Hamid Reza 3 Jose, Selby 3 Lotfi, Taher 3 Siegmund, Stefan 3 Sims, Aidan 3 Soleymani, Fazlollah 3 Stavrova, Anastasia K. 3 Yanchevskii, Vyacheslav Ivanovich 3 You, Hong 2 Abrams, Gene D. 2 an Huef, Astrid 2 Anan’evskii, A. S. 2 Ara, Pere 2 Brown, Jonathan Henry 2 Bunina, E. I. 2 Ferrara, Massimiliano 2 Gonçalves, Daniel 2 Hai, Bui Xuan 2 Hüttemann, Thomas 2 Kazakevich, V. G. 2 Khanna, Reema 2 Mai Hoang Bien 2 Nasr-Isfahani, Alireza R. 2 Nystedt, Patrik 2 Öinert, Johan 2 Rigby, Simon W. 2 Royer, Danilo 2 Voronetsky, Egor 2 Yu, Weibo 2 Zhou, Xuemei 1 Aaghabali, Mehdi 1 Ahmadi, Morteza 1 Akbari, Saieed 1 Al-Azaizeh, Mariam 1 Al-Turman, Farah 1 Antieau, Benjamin 1 Apte, Himanee 1 Asok, Aravind 1 Babajee, Diyashvir Kreetee Rajiv 1 Bakhtiari, Parisa 1 Bakulin, S. V. 1 Basu, Ronni 1 Batalkin, K. O. 1 Bhatia, Saurabh 1 Bui Xuan Hai 1 Calderón Martín, Antonio Jesús 1 Chattopadhyay, Pratyusha 1 Chirvăsitu, Alexandru 1 Clausen, Dustin 1 Cordeiro, Luiz Gustavo 1 Corrales García, María Guadalupe 1 Demeneghi, Paulinho 1 Edie-Michell, Cain 1 Eilers, Søren 1 Eroǧlu, Münevver Pınar 1 Farb, Benson 1 Fariborzi Araghi, Mohammad Ali 1 Ferraro, Luigi 1 Fletcher, James 1 Fuller, Adam Hanley 1 Gaddis, Jason 1 Gavrilovich, Mikhaĭl R. 1 Golestani, Nasser 1 Gvozdevsky, Pavel 1 Hoobler, Raymond Taylor 1 Hoyois, Marc 1 Huỳnh Việt Khánh 1 Jamaludin, Nur Alif Akid 1 Johansen, Rune 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Kansal, Munish 1 Kanwar, Vinay 1 Keshavarzipour, T. ...and 70 more Authors
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#### Cited in 60 Serials

 29 Journal of Mathematical Sciences (New York) 25 Journal of Algebra 15 Journal of Pure and Applied Algebra 15 St. Petersburg Mathematical Journal 12 Communications in Algebra 12 Journal of Algebra and its Applications 8 Israel Journal of Mathematics 7 Journal of $$K$$-Theory 5 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 Vestnik St. Petersburg University. Mathematics 3 Forum Mathematicum 3 International Journal of Algebra and Computation 3 Algebra Colloquium 3 Journal of the Australian Mathematical Society 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Manuscripta Mathematica 2 Mathematica Scandinavica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Numerical Algorithms 2 The New York Journal of Mathematics 2 Journal of Group Theory 2 Algebras and Representation Theory 2 Afrika Matematika 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Beiträge zur Algebra und Geometrie 1 Calcolo 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Selecta Mathematica. New Series 1 Vietnam Journal of Mathematics 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Trudy Instituta Matematiki 1 Annales Henri Poincaré 1 International Journal of Modern Physics C 1 Journal of Applied Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Proyecciones 1 Journal of Homotopy and Related Structures 1 Algebra & Number Theory 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 S$$\vec{\text{e}}$$MA Journal 1 Mathematical Sciences 1 Open Mathematics 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 21 Fields

 101 Associative rings and algebras (16-XX) 97 Group theory and generalizations (20-XX) 52 $$K$$-theory (19-XX) 18 Category theory; homological algebra (18-XX) 16 Commutative algebra (13-XX) 16 Functional analysis (46-XX) 11 Topological groups, Lie groups (22-XX) 11 Numerical analysis (65-XX) 10 Algebraic geometry (14-XX) 8 Combinatorics (05-XX) 8 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Algebraic topology (55-XX) 2 History and biography (01-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Operator theory (47-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.