Edit Profile (opens in new tab) Brown, Kenneth Alexander Co-Author Distance Author ID: brown.kenneth-alexander Published as: Brown, Kenneth A.; Brown, K. A.; Brown, Ken; Brown, Ken A.; Brown, Kenneth Alexander more...less Homepage: http://www.maths.gla.ac.uk/~kab/ External Links: MGP · IdRef Member of Collective: Rainwater, John Documents Indexed: 97 Publications since 1976, including 2 Books and 4 Additional arXiv Preprints Reviewing Activity: 162 Reviews Co-Authors: 32 Co-Authors with 61 Joint Publications 546 Co-Co-Authors all top 5 Co-Authors 29 single-authored 8 Goodearl, Kenneth R. 8 Lenagan, Thomas H. 7 Lorenz, Martin 7 Zhang, James J. 5 Gordon, Iain Grant 5 Stafford, J. Toby 4 Hajarnavis, Charudatta R. 3 Carvalho, Paula A. A. B. 3 Gilmartin, Paul 3 Matczuk, Jerzy 3 Yakimov, Milen T. 2 Ardakov, Konstantin 2 Brookes, Christopher J. B. 2 Howie, James 2 Levasseur, Thierry 2 MacEacharn, A. B. 2 Warfield, Robert Breckenridge jun. 2 Wehrfritz, Bertram A. F. 1 Ali, Jaffar 1 Ara, Pere 1 Bell, Jason P. 1 Changtong, K. 1 du Cloux, Fokko 1 Haghany, Ahmad 1 Jahn, Alexander 1 Letzter, Edward S. 1 Logan, Alan D. 1 Macauley, Monica 1 Macleod, Marjory J. 1 Marubayashi, Hidetoshi 1 Nazemian, Zahra 1 O’Hagan, S. 1 Shivaji, Ratnasingham 1 Smertnig, Daniel 1 Smith, Patrick Fleming 1 Smith, S. Paul 1 Stroppel, Catharina H. 1 Tabiri, Angela Ankomaah 1 Zhuang, Guangbin all top 5 Serials 11 Journal of Algebra 7 Journal of the London Mathematical Society. Second Series 7 Journal of Pure and Applied Algebra 7 Proceedings of the London Mathematical Society. Third Series 6 Transactions of the American Mathematical Society 5 Glasgow Mathematical Journal 5 Mathematische Zeitschrift 5 Proceedings of the Edinburgh Mathematical Society. Series II 4 Bulletin of the London Mathematical Society 4 The Quarterly Journal of Mathematics. Oxford Second Series 2 Communications in Algebra 2 Advances in Mathematics 2 Archiv der Mathematik 2 Compositio Mathematica 2 Algebras and Representation Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Australian Mathematical Society Gazette 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Differential and Integral Equations 1 Irish Mathematical Society Bulletin 1 Turkish Journal of Mathematics 1 Documenta Mathematica 1 Oberwolfach Reports 1 Contemporary Mathematics 1 Journal of Noncommutative Geometry 1 Palestine Journal of Mathematics 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 90 Associative rings and algebras (16-XX) 33 Group theory and generalizations (20-XX) 29 Nonassociative rings and algebras (17-XX) 6 \(K\)-theory (19-XX) 5 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 1,075 times in 731 Documents Cited by ▼ Year ▼ Lectures on algebraic quantum groups. Zbl 1027.17010 Brown, Ken A.; Goodearl, Ken R. 211 2002 Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension. Zbl 0892.16022 Brown, K. A.; Goodearl, Kenneth R. 67 1997 Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras. Zbl 1159.16009 Brown, K. A.; Zhang, J. J. 65 2008 Poisson orders, symplectic reflection algebras and representation theory. Zbl 1025.17007 Brown, Kenneth A.; Gordon, Iain 57 2003 The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras. Zbl 1037.17011 Brown, Kenneth A.; Gordon, Iain 34 2001 Homologically homogeneous rings. Zbl 0531.16019 Brown, K. A.; Hajarnavis, C. R. 30 1984 Poisson structures on affine spaces and flag varieties. I: Matrix affine Poisson space. Zbl 1105.53062 Brown, K. A.; Goodearl, K. R.; Yakimov, M. 30 2006 Ring-theoretic properties of Iwasawa algebras: a survey. Zbl 1125.16011 Ardakov, K.; Brown, K. A. 28 2007 Prime regular Hopf algebras of GK-dimension one. Zbl 1207.16035 Brown, K. A.; Zhang, J. J. 25 2010 The singular ideals of group rings. Zbl 0345.16012 Brown, Kenneth A. 24 1977 Prime spectra of quantum semisimple groups. Zbl 0857.16026 Brown, K. A.; Goodearl, Kenneth R. 24 1996 Height one primes of polycyclic group rings. Zbl 0589.16013 Brown, Kenneth A. 22 1985 Connected Hopf algebras and iterated Ore extensions. Zbl 1312.16031 Brown, K. A.; O’Hagan, S.; Zhang, James J.; Zhuang, Guangbin 21 2015 Noetherian rings of finite global dimension. Zbl 0485.16008 Brown, K. A.; Hajarnavis, C. R.; MacEacharn, A. B. 20 1982 Primeness, semiprimeness and localisation in Iwasawa algebras. Zbl 1151.16024 Ardakov, Konstantin; Brown, Kenneth A. 19 2007 Noetherian Hopf algebras. Zbl 1142.16025 Brown, Kenneth A. 16 2007 Cohomology of bimodules over enveloping algebras. Zbl 0566.17005 Brown, Kenneth A.; Levasseur, Thierry 16 1985 Representation theory of Noetherian Hopf algebras satisfying a polynomial identity. Zbl 0926.16028 Brown, Kenneth A. 16 1998 The influence of ideal structure on representation theory. Zbl 0652.16006 Brown, Kenneth A.; Warfield, R. B. jun. 15 1988 Rings of finite global dimension integral over their centres. Zbl 0502.16020 Brown, K. A.; Hajarnavis, C. R.; MacEacharn, A. B. 15 1983 On zero divisors in group rings. Zbl 0336.16014 Brown, Kenneth A. 14 1976 Azumaya loci and discriminant ideals of PI algebras. Zbl 1433.16016 Brown, K. A.; Yakimov, M. T. 14 2018 Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions. Zbl 1168.17007 Brown, Kenneth Alexander; Gordon, Iain G.; Stroppel, Catharina H. 13 2008 Module extensions over Noetherian rings. Zbl 0471.16012 Brown, Kenneth A. 13 1981 The structure of modules over polycyclic groups. Zbl 0455.16003 Brown, Kenneth A. 13 1981 The Nullstellensatz for certain group rings. Zbl 0511.16011 Brown, Kenneth A. 12 1982 Hopf algebras under finiteness conditions. Zbl 1351.16032 Brown, Kenneth A.; Gilmartin, Paul 11 2014 Injectively homogeneous rings. Zbl 0648.16017 Brown, K. A.; Hajarnavis, C. R. 10 1988 Localisation, bimodules and injective modules for enveloping algebras of solvable Lie algebras. Zbl 0524.16002 Brown, Kenneth A. 10 1983 Artinian quotient rings of group rings. Zbl 0371.16003 Brown, Kenneth A. 10 1977 Krull and global dimensions of fully bounded Noetherian rings. Zbl 0557.16009 Brown, Kenneth A.; Warfield, R. B. jun. 9 1984 Ore sets in enveloping algebras. Zbl 0561.16003 Brown, Kenneth A. 9 1984 K-theory and stable structure of some Noetherian group rings. Zbl 0427.16010 Brown, K. A.; Lenagan, T. H.; Stafford, J. T. 9 1981 Quantum homogeneous spaces of connected Hopf algebras. Zbl 1380.16029 Brown, Ken; Gilmartin, Paul 9 2016 Connected (graded) Hopf algebras. Zbl 1478.16019 Brown, K. A.; Gilmartin, P.; Zhang, J. J. 9 2019 On the representation theory of solvable Lie algebras. Zbl 0657.17005 Brown, Kenneth A.; du Cloux, Fokko 8 1988 Fully bounded Noetherian rings of finite injective dimension. Zbl 0691.16037 Brown, Kenneth A. 8 1990 The Cohen Macaulay property for noncommutative rings. Zbl 1388.16009 Brown, Ken A.; Macleod, Marjory J. 8 2017 Localisation at cliques in group rings. Zbl 0587.16012 Brown, Kenneth A. 8 1986 Symplectic reflection algebras in positive characteristic. Zbl 1211.16020 Brown, K. A.; Changtong, K. 7 2010 Weak ideal invariance and localisation. Zbl 0427.16009 Brown, K. A.; Lenagan, T. H.; Stafford, J. T. 7 1980 Simple modules and their essential extensions for skew polynomial rings. Zbl 1444.16033 Brown, Ken; Carvalho, Paula A. A. B.; Matczuk, Jerzy 7 2019 Positive solutions for \(n\times n\) elliptic systems with combined nonlinear effects. Zbl 1240.35152 Ali, Jaffar; Brown, Ken; Shivaji, R. 6 2011 Primitive group rings and Noetherian rings of quotients. Zbl 0562.16005 Brookes, Christopher J. B.; Brown, Kenneth A. 6 1985 Prime ideals in differential operators rings. Catenarity. Zbl 0692.16002 Brown, K. A.; Goodearl, Kenneth R.; Lenagan, T. H. 6 1990 The ramifications of the centres: quantised function algebras at roots of unity. Zbl 1023.16029 Brown, Kenneth A.; Gordon, Iain 6 2002 A Hilbert basis theorem for quantum groups. Zbl 0888.17003 Brown, K. A.; Goodearl, Kenneth R. 6 1997 Primitive group rings of soluble groups. Zbl 0464.16009 Brown, Kenneth A. 6 1981 Grothendieck groups of invariant rings and of group rings. Zbl 0822.16006 Brown, K. A.; Lorenz, M. 6 1994 Corrigendum and addendum to “Height one primes of polycyclic group rings”. Zbl 0666.16006 Brown, Kenneth A. 4 1988 A note on Jacobson’s conjecture for right Noetherian rings. Zbl 0478.16010 Brown, K. A.; Lenagan, T. H. 4 1982 Ore sets in Noetherian rings. Zbl 0572.16002 Brown, Kenneth A. 4 1985 Bimodules over a solvable algebraic Lie algebra. Zbl 0573.17010 Brown, K. A.; Smith, S. P. 4 1985 The singular ideals of group rings. II. Zbl 0382.16007 Brown, Kenneth A. 4 1978 Mini-workshop: Infinite dimensional Hopf algebras. Abstracts from the mini-workshop held April 13–19, 2014. Zbl 1349.00083 Brown, Ken A. 4 2014 Affine commutative-by-finite Hopf algebras. Zbl 1467.16032 Brown, K. A.; Couto, M. 4 2021 Symplectic reflection algebras. Zbl 1071.16018 Brown, Kenneth A. 3 2003 On the representation theory of solvable Lie algebras. II: The abelian group attached to a prime ideal. Zbl 0749.17008 Brown, Kenneth A. 3 1991 Injective modules, induction maps and endomorphism rings. Zbl 0815.20005 Brookes, C. J. B.; Brown, K. A. 3 1993 Zariski topologies on stratified spectra of quantum algebras. Zbl 1359.16035 Brown, Kenneth A.; Goodearl, Kenneth R. 3 2015 Grothendieck groups of invariant rings: Linear actions of finite groups. Zbl 0905.19001 Brown, Kenneth A.; Lorenz, Martin 2 1996 Group rings which are \(v\)-\(HC\) orders and Krull orders. Zbl 0748.16009 Brown, K. A.; Marubayashi, H.; Smith, P. F. 2 1991 The representation theory of Noetherian rings. Zbl 0753.16012 Brown, Kenneth A. 2 1992 Colimits of functors, and Grothendieck groups of infinite group algebras. Zbl 0772.16011 Brown, K. A.; Lorenz, M. 2 1992 The derived subgroup of a free metabelian group. Zbl 0417.20035 Brown, Kenneth A. 2 1979 Modules over polycyclic groups have many irreducible images. Zbl 0464.16008 Brown, Kenneth A. 2 1981 Primary decomposition in enveloping algebras. Zbl 0466.17009 Brown, K. A.; Lenagan, T. H. 2 1981 Survey on Hopf algebras of GK-dimension 1 and 2. Zbl 1506.16039 Brown, K. A.; Zhang, J. J. 2 2021 On noncommutative bounded factorization domains and prime rings. Zbl 1525.16017 Bell, Jason P.; Brown, Ken; Nazemian, Zahra; Smertnig, Daniel 2 2023 Ambiskew Hopf algebras. Zbl 1275.16024 Brown, K. A.; Macauley, M. 2 2013 Induced resolutions and Grothendieck groups of polycyclic-by-finite groups. Zbl 0655.16013 Brown, Kenneth A.; Howie, James; Lorenz, Martin 1 1988 Grothendieck groups and higher class groups of commutative invariants. Zbl 0839.16008 Brown, Kenneth A.; Lorenz, Martin 1 1995 Relation modules of polycyclic-by-finite groups. Zbl 0468.20010 Brown, Kenneth A. 1 1981 Class groups and automorhism groups of group rings. Zbl 0579.16006 Brown, Kenneth A. 1 1986 Quotient rings of group rings. Zbl 0381.16004 Brown, Kenneth A. 1 1978 Injective hulls of group rings. Zbl 0399.16005 Brown, Kenneth A.; Lawrence, John 1 1979 Grothendieck groups of invariant rings: Filtrations. Zbl 0803.16034 Brown, Kenneth A.; Lorenz, Martin 1 1993 Plane curves which are quantum homogeneous spaces. Zbl 1501.16030 Brown, Ken; Tabiri, Angela Ankomaah 1 2022 Iterated Hopf Ore extensions in positive characteristic. Zbl 1510.16028 Brown, Kenneth A.; Zhang, James J. 1 2022 Unimodular graded Poisson Hopf algebras. Zbl 1459.17037 Brown, Kenneth A.; Zhang, James J. 1 2018 On noncommutative bounded factorization domains and prime rings. Zbl 1525.16017 Bell, Jason P.; Brown, Ken; Nazemian, Zahra; Smertnig, Daniel 2 2023 Plane curves which are quantum homogeneous spaces. Zbl 1501.16030 Brown, Ken; Tabiri, Angela Ankomaah 1 2022 Iterated Hopf Ore extensions in positive characteristic. Zbl 1510.16028 Brown, Kenneth A.; Zhang, James J. 1 2022 Affine commutative-by-finite Hopf algebras. Zbl 1467.16032 Brown, K. A.; Couto, M. 4 2021 Survey on Hopf algebras of GK-dimension 1 and 2. Zbl 1506.16039 Brown, K. A.; Zhang, J. J. 2 2021 Connected (graded) Hopf algebras. Zbl 1478.16019 Brown, K. A.; Gilmartin, P.; Zhang, J. J. 9 2019 Simple modules and their essential extensions for skew polynomial rings. Zbl 1444.16033 Brown, Ken; Carvalho, Paula A. A. B.; Matczuk, Jerzy 7 2019 Azumaya loci and discriminant ideals of PI algebras. Zbl 1433.16016 Brown, K. A.; Yakimov, M. T. 14 2018 Unimodular graded Poisson Hopf algebras. Zbl 1459.17037 Brown, Kenneth A.; Zhang, James J. 1 2018 The Cohen Macaulay property for noncommutative rings. Zbl 1388.16009 Brown, Ken A.; Macleod, Marjory J. 8 2017 Quantum homogeneous spaces of connected Hopf algebras. Zbl 1380.16029 Brown, Ken; Gilmartin, Paul 9 2016 Connected Hopf algebras and iterated Ore extensions. Zbl 1312.16031 Brown, K. A.; O’Hagan, S.; Zhang, James J.; Zhuang, Guangbin 21 2015 Zariski topologies on stratified spectra of quantum algebras. Zbl 1359.16035 Brown, Kenneth A.; Goodearl, Kenneth R. 3 2015 Hopf algebras under finiteness conditions. Zbl 1351.16032 Brown, Kenneth A.; Gilmartin, Paul 11 2014 Mini-workshop: Infinite dimensional Hopf algebras. Abstracts from the mini-workshop held April 13–19, 2014. Zbl 1349.00083 Brown, Ken A. 4 2014 Ambiskew Hopf algebras. Zbl 1275.16024 Brown, K. A.; Macauley, M. 2 2013 Positive solutions for \(n\times n\) elliptic systems with combined nonlinear effects. Zbl 1240.35152 Ali, Jaffar; Brown, Ken; Shivaji, R. 6 2011 Prime regular Hopf algebras of GK-dimension one. Zbl 1207.16035 Brown, K. A.; Zhang, J. J. 25 2010 Symplectic reflection algebras in positive characteristic. Zbl 1211.16020 Brown, K. A.; Changtong, K. 7 2010 Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras. Zbl 1159.16009 Brown, K. A.; Zhang, J. J. 65 2008 Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions. Zbl 1168.17007 Brown, Kenneth Alexander; Gordon, Iain G.; Stroppel, Catharina H. 13 2008 Ring-theoretic properties of Iwasawa algebras: a survey. Zbl 1125.16011 Ardakov, K.; Brown, K. A. 28 2007 Primeness, semiprimeness and localisation in Iwasawa algebras. Zbl 1151.16024 Ardakov, Konstantin; Brown, Kenneth A. 19 2007 Noetherian Hopf algebras. Zbl 1142.16025 Brown, Kenneth A. 16 2007 Poisson structures on affine spaces and flag varieties. I: Matrix affine Poisson space. Zbl 1105.53062 Brown, K. A.; Goodearl, K. R.; Yakimov, M. 30 2006 Poisson orders, symplectic reflection algebras and representation theory. Zbl 1025.17007 Brown, Kenneth A.; Gordon, Iain 57 2003 Symplectic reflection algebras. Zbl 1071.16018 Brown, Kenneth A. 3 2003 Lectures on algebraic quantum groups. Zbl 1027.17010 Brown, Ken A.; Goodearl, Ken R. 211 2002 The ramifications of the centres: quantised function algebras at roots of unity. Zbl 1023.16029 Brown, Kenneth A.; Gordon, Iain 6 2002 The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras. Zbl 1037.17011 Brown, Kenneth A.; Gordon, Iain 34 2001 Representation theory of Noetherian Hopf algebras satisfying a polynomial identity. Zbl 0926.16028 Brown, Kenneth A. 16 1998 Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension. Zbl 0892.16022 Brown, K. A.; Goodearl, Kenneth R. 67 1997 A Hilbert basis theorem for quantum groups. Zbl 0888.17003 Brown, K. A.; Goodearl, Kenneth R. 6 1997 Prime spectra of quantum semisimple groups. Zbl 0857.16026 Brown, K. A.; Goodearl, Kenneth R. 24 1996 Grothendieck groups of invariant rings: Linear actions of finite groups. Zbl 0905.19001 Brown, Kenneth A.; Lorenz, Martin 2 1996 Grothendieck groups and higher class groups of commutative invariants. Zbl 0839.16008 Brown, Kenneth A.; Lorenz, Martin 1 1995 Grothendieck groups of invariant rings and of group rings. Zbl 0822.16006 Brown, K. A.; Lorenz, M. 6 1994 Injective modules, induction maps and endomorphism rings. Zbl 0815.20005 Brookes, C. J. B.; Brown, K. A. 3 1993 Grothendieck groups of invariant rings: Filtrations. Zbl 0803.16034 Brown, Kenneth A.; Lorenz, Martin 1 1993 The representation theory of Noetherian rings. Zbl 0753.16012 Brown, Kenneth A. 2 1992 Colimits of functors, and Grothendieck groups of infinite group algebras. Zbl 0772.16011 Brown, K. A.; Lorenz, M. 2 1992 On the representation theory of solvable Lie algebras. II: The abelian group attached to a prime ideal. Zbl 0749.17008 Brown, Kenneth A. 3 1991 Group rings which are \(v\)-\(HC\) orders and Krull orders. Zbl 0748.16009 Brown, K. A.; Marubayashi, H.; Smith, P. F. 2 1991 Fully bounded Noetherian rings of finite injective dimension. Zbl 0691.16037 Brown, Kenneth A. 8 1990 Prime ideals in differential operators rings. Catenarity. Zbl 0692.16002 Brown, K. A.; Goodearl, Kenneth R.; Lenagan, T. H. 6 1990 The influence of ideal structure on representation theory. Zbl 0652.16006 Brown, Kenneth A.; Warfield, R. B. jun. 15 1988 Injectively homogeneous rings. Zbl 0648.16017 Brown, K. A.; Hajarnavis, C. R. 10 1988 On the representation theory of solvable Lie algebras. Zbl 0657.17005 Brown, Kenneth A.; du Cloux, Fokko 8 1988 Corrigendum and addendum to “Height one primes of polycyclic group rings”. Zbl 0666.16006 Brown, Kenneth A. 4 1988 Induced resolutions and Grothendieck groups of polycyclic-by-finite groups. Zbl 0655.16013 Brown, Kenneth A.; Howie, James; Lorenz, Martin 1 1988 Localisation at cliques in group rings. Zbl 0587.16012 Brown, Kenneth A. 8 1986 Class groups and automorhism groups of group rings. Zbl 0579.16006 Brown, Kenneth A. 1 1986 Height one primes of polycyclic group rings. Zbl 0589.16013 Brown, Kenneth A. 22 1985 Cohomology of bimodules over enveloping algebras. Zbl 0566.17005 Brown, Kenneth A.; Levasseur, Thierry 16 1985 Primitive group rings and Noetherian rings of quotients. Zbl 0562.16005 Brookes, Christopher J. B.; Brown, Kenneth A. 6 1985 Ore sets in Noetherian rings. Zbl 0572.16002 Brown, Kenneth A. 4 1985 Bimodules over a solvable algebraic Lie algebra. Zbl 0573.17010 Brown, K. A.; Smith, S. P. 4 1985 Homologically homogeneous rings. Zbl 0531.16019 Brown, K. A.; Hajarnavis, C. R. 30 1984 Krull and global dimensions of fully bounded Noetherian rings. Zbl 0557.16009 Brown, Kenneth A.; Warfield, R. B. jun. 9 1984 Ore sets in enveloping algebras. Zbl 0561.16003 Brown, Kenneth A. 9 1984 Rings of finite global dimension integral over their centres. Zbl 0502.16020 Brown, K. A.; Hajarnavis, C. R.; MacEacharn, A. B. 15 1983 Localisation, bimodules and injective modules for enveloping algebras of solvable Lie algebras. Zbl 0524.16002 Brown, Kenneth A. 10 1983 Noetherian rings of finite global dimension. Zbl 0485.16008 Brown, K. A.; Hajarnavis, C. R.; MacEacharn, A. B. 20 1982 The Nullstellensatz for certain group rings. Zbl 0511.16011 Brown, Kenneth A. 12 1982 A note on Jacobson’s conjecture for right Noetherian rings. Zbl 0478.16010 Brown, K. A.; Lenagan, T. H. 4 1982 Module extensions over Noetherian rings. Zbl 0471.16012 Brown, Kenneth A. 13 1981 The structure of modules over polycyclic groups. Zbl 0455.16003 Brown, Kenneth A. 13 1981 K-theory and stable structure of some Noetherian group rings. Zbl 0427.16010 Brown, K. A.; Lenagan, T. H.; Stafford, J. T. 9 1981 Primitive group rings of soluble groups. Zbl 0464.16009 Brown, Kenneth A. 6 1981 Modules over polycyclic groups have many irreducible images. Zbl 0464.16008 Brown, Kenneth A. 2 1981 Primary decomposition in enveloping algebras. Zbl 0466.17009 Brown, K. A.; Lenagan, T. H. 2 1981 Relation modules of polycyclic-by-finite groups. Zbl 0468.20010 Brown, Kenneth A. 1 1981 Weak ideal invariance and localisation. Zbl 0427.16009 Brown, K. A.; Lenagan, T. H.; Stafford, J. T. 7 1980 The derived subgroup of a free metabelian group. Zbl 0417.20035 Brown, Kenneth A. 2 1979 Injective hulls of group rings. Zbl 0399.16005 Brown, Kenneth A.; Lawrence, John 1 1979 The singular ideals of group rings. II. Zbl 0382.16007 Brown, Kenneth A. 4 1978 Quotient rings of group rings. Zbl 0381.16004 Brown, Kenneth A. 1 1978 The singular ideals of group rings. Zbl 0345.16012 Brown, Kenneth A. 24 1977 Artinian quotient rings of group rings. Zbl 0371.16003 Brown, Kenneth A. 10 1977 On zero divisors in group rings. Zbl 0336.16014 Brown, Kenneth A. 14 1976 all cited Publications top 5 cited Publications all top 5 Cited by 542 Authors 34 Zhang, James J. 33 Brown, Kenneth Alexander 28 Goodearl, Kenneth R. 25 Launois, Stéphane 21 Wang, Xingting 21 Yakimov, Milen T. 15 Bell, Jason P. 15 Lenagan, Thomas H. 14 Letzter, Edward S. 14 Wu, Quanshui S. 12 Jespers, Eric 11 Birkenmeier, Gary Francis 11 Braun, Amiram 11 Okniński, Jan 10 Guédénon, Thomas 10 Zhuang, Guangbin 9 Ardakov, Konstantin 9 Bellamy, Gwyn 8 Hajarnavis, Charudatta R. 8 Oh, Sei-Qwon 8 Park, Jae Keol 8 Walton, Chelsea 8 Zhang, Yinhuo 7 Bavula, Vladimir V. 7 Gaddis, Jason 7 Krähmer, Ulrich 7 Lorenz, Martin 7 Musson, Ian M. 6 Andruskiewitsch, Nicolás 6 Angiono, Iván Ezequiel 6 Carvalho, Paula A. A. B. 6 Futorny, Vyacheslav M. 6 Kirkman, Ellen E. 6 Lu, Jiafeng 6 Lu, Tao 6 Rogalski, Daniel 6 Thiel, Ulrich 6 Tikaradze, Akaki 6 Topley, Lewis William 6 Tushev, Anatoliĭ V. 6 Wang, Dingguo 6 Wei, Feng 6 Yu, Xiaolan 5 Bell, Allen D. 5 Brookes, Christopher J. B. 5 Jordan, David Alan 5 Marubayashi, Hidetoshi 5 Skryabin, Serge 5 Stafford, J. Toby 5 Tercan, Adnan 5 Wang, Linhong 4 Akalan, Evrim 4 Cedó, Ferran 4 Chen, Xiaojun 4 Kara, Yeliz 4 Khuddush, Mahammad 4 Laugwitz, Robert 4 León Sánchez, Omar 4 Lim, Meng Fai 4 Linnell, Peter Arnold 4 Liu, Gongxiang 4 Lomp, Christian 4 Lu, Di-Ming 4 Prasad, Kapula Rajendra 4 Premet, Alexander A. 4 Richard, Lionel 4 Schwarz, João Fernando 4 Tyutin, Igor Viktorovich 4 van Oystaeyen, Freddy 4 Wadsley, Simon J. 4 Warfield, Robert Breckenridge jun. 4 Won, Robert 4 Woods, William 4 Zhu, Can 4 Zhu, Ruipeng 4 Zwicknagl, Sebastian 3 Abdollahi, Alireza 3 Artin, Michael 3 Beachy, John A. 3 Beil, Charlie 3 Bera, Sanu 3 Bezrukavnikov, Roman 3 Bichon, Julien 3 Cauchon, Gerard 3 Chan, Kenneth S. 3 Chatters, A. W. 3 Chemla, Sophie 3 Chen, Huixiang 3 Emerton, Matthew 3 Etingof, Pavel Il’ich 3 Ganev, Iordan 3 García, Gastón Andrés 3 Gilmartin, Paul 3 Gordon, Iain Grant 3 Grabowski, Jan Edward 3 Han, Dong 3 Hartwig, Jonas T. 3 He, Jiwei 3 Heckenberger, István 3 Krause, Günter ...and 442 more Authors all top 5 Cited in 130 Serials 154 Journal of Algebra 58 Communications in Algebra 40 Journal of Pure and Applied Algebra 36 Advances in Mathematics 35 Algebras and Representation Theory 28 Transactions of the American Mathematical Society 25 Proceedings of the American Mathematical Society 23 Glasgow Mathematical Journal 20 Israel Journal of Mathematics 17 Journal of Algebra and its Applications 14 Mathematische Zeitschrift 13 Selecta Mathematica. New Series 12 Journal of Noncommutative Geometry 10 Proceedings of the Edinburgh Mathematical Society. Series II 10 Representation Theory 9 Archiv der Mathematik 6 Letters in Mathematical Physics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Nagoya Mathematical Journal 6 Transformation Groups 5 Compositio Mathematica 5 Inventiones Mathematicae 5 Memoirs of the American Mathematical Society 5 Pacific Journal of Mathematics 4 Duke Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Manuscripta Mathematica 4 Science China. Mathematics 3 Bulletin of the Australian Mathematical Society 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Journal of the London Mathematical Society. Second Series 3 Journal of Soviet Mathematics 3 Forum Mathematicum 3 Journal of Algebraic Combinatorics 3 Algebra Colloquium 3 Journal of Mathematical Sciences (New York) 3 Acta Mathematica Sinica. English Series 3 Journal of Nonlinear Mathematical Physics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Algebra & Number Theory 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Beiträge zur Algebra und Geometrie 2 American Journal of Mathematics 2 Bulletin de la Société Mathématique de France 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Journal of Combinatorial Theory. Series A 2 Journal of Number Theory 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Bulletin of the Iranian Mathematical Society 2 Linear Algebra and its Applications 2 Bulletin des Sciences Mathématiques 2 Journal of Group Theory 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of the Institute of Mathematics of Jussieu 2 Algebra and Discrete Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Groups, Geometry, and Dynamics 2 International Electronic Journal of Algebra (IEJA) 2 Asian-European Journal of Mathematics 2 Transactions of the American Mathematical Society. Series B 1 Communications in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematika 1 Quaestiones Mathematicae 1 Revista Colombiana de Matemáticas 1 Revista de la Unión Matemática Argentina 1 Advances in Applied Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series A 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Annals of Pure and Applied Logic 1 Journal of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Experimental Mathematics 1 Journal of Algebraic Geometry ...and 30 more Serials all top 5 Cited in 31 Fields 588 Associative rings and algebras (16-XX) 247 Nonassociative rings and algebras (17-XX) 161 Group theory and generalizations (20-XX) 89 Algebraic geometry (14-XX) 45 Commutative algebra (13-XX) 37 Number theory (11-XX) 31 Category theory; homological algebra (18-XX) 30 Quantum theory (81-XX) 19 Topological groups, Lie groups (22-XX) 19 Differential geometry (53-XX) 15 Combinatorics (05-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Manifolds and cell complexes (57-XX) 9 Functional analysis (46-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Partial differential equations (35-XX) 7 Field theory and polynomials (12-XX) 7 \(K\)-theory (19-XX) 6 Mathematical logic and foundations (03-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Algebraic topology (55-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year