Number of items: 30.
2023
Brown, K. , Carvalho, P. A.A.B. and Matczuk, J.
(2023)
Critical and injective modules over skew polynomial rings.
Journal of Pure and Applied Algebra, 227(11),
107441.
(doi: 10.1016/j.jpaa.2023.107441)
Bell, J. P., Brown, K. , Nazemian, Z. and Smertnig, D.
(2023)
On noncommutative bounded factorization domains and prime rings.
Journal of Algebra, 622,
pp. 404-449.
(doi: 10.1016/j.jalgebra.2023.01.023)
Brown, K.A. , Couto, M. and Jahn, A.
(2023)
The finite dual of commutative-by-finite Hopf algebras.
Glasgow Mathematical Journal, 65(1),
pp. 62-89.
(doi: 10.1017/S0017089522000052)
2022
Brown, K. and Tabiri, A. A.
(2022)
Plane curves which are quantum homogenous spaces.
Algebras and Representation Theory, 25(4),
pp. 889-922.
(doi: 10.1007/s10468-021-10052-y)
Brown, K. A. and Zhang, J. J.
(2022)
Iterated Hopf Ore extensions in positive characteristic.
Journal of Noncommutative Geometry, 16(3),
pp. 787-837.
(doi: 10.4171/jncg/453)
2021
Brown, K.A. and Zhang, J.J.
(2021)
Survey on Hopf algebras of GK-dimension 1 and 2.
Contemporary Mathematics, 771,
pp. 43-62.
(doi: 10.1090/conm/771/15507)
2019
Brown, K. , Carvalho, P. A.A.B. and Matczuk, J.
(2019)
Simple modules and their essential extensions for skew polynomial rings.
Mathematische Zeitschrift, 291(3-4),
pp. 877-903.
(doi: 10.1007/s00209-018-2128-8)
Brown, K.A. , Gilmartin, P. and Zhang, J.J.
(2019)
Connected (graded) Hopf algebras.
Transactions of the American Mathematical Society, 372,
pp. 3283-3317.
(doi: 10.1090/tran/7686)
2018
Brown, K.A. and Yakimov, M.T.
(2018)
Azumaya loci and discriminant ideals of PI algebras.
Advances in Mathematics, 340,
pp. 1219-1255.
(doi: 10.1016/j.aim.2018.10.024)
Brown, K. A. and Zhang, J. J.
(2018)
Unimodular graded Poisson Hopf algebras.
Bulletin of the London Mathematical Society, 50(5),
pp. 887-898.
(doi: 10.1112/blms.12194)
2017
Brown, K. A. and Macleod, M. J.
(2017)
The Cohen Macaulay property for noncommutative rings.
Algebras and Representation Theory, 20(6),
pp. 1433-1465.
(doi: 10.1007/s10468-017-9694-z)
2015
Brown, K.A. , O'Hagan, S., Zhang, J.J. and Zhuang, G.
(2015)
Connected Hopf algebras and iterated Ore extensions.
Journal of Pure and Applied Algebra, 219,
pp. 2405-2443.
(doi: 10.1016/j.jpaa.2014.09.007)
Brown, K. and Gilmartin, P.
(2015)
Quantum homogeneous spaces of connected Hopf algebras.
Journal of Algebra, 454,
pp. 400-432.
Brown, K. A. and Goodearl, K. R.
(2015)
Zariski topologies on stratified spectra of quantum algebras.
In: Eisenbud, D. (ed.)
Commutative Algebra and Noncommutative Algebraic Geometry.
Series: Mathematical sciences research institute publications, 68 (68).
Cambridge University Press, pp. 63-91.
ISBN 9781107149724
2014
Brown, K. and Gilmartin, P.
(2014)
Hopf algebras under finiteness conditions.
Palestine Journal of Mathematics, 3(S1),
pp. 356-365.
2013
Brown, K. and Macauley, M.
(2013)
Ambiskew Hopf algebras.
Journal of Pure and Applied Algebra, 217(1),
pp. 59-74.
(doi: 10.1016/j.jpaa.2012.04.007)
2010
Brown, K.A. and Changtong, K.
(2010)
Symplectic reflection algebras in positive characteristic.
Proceedings of the Edinburgh Mathematical Society, 53(1),
pp. 61-81.
(doi: 10.1017/S0013091507001435)
Brown, K. A. and Zhang, J. J.
(2010)
Prime regular Hopf algebras of GK-dimension one.
Proceedings of the London Mathematical Society, 101(1),
pp. 260-302.
(doi: 10.1112/plms/pdp060)
2008
Brown, K.A. and Zhang, J.J.
(2008)
Dualising complexes and twisted Hochschild (co)homology for noetherian Hopf algebras.
Journal of Algebra, 320(5),
pp. 1814-1850.
(doi: 10.1016/j.jalgebra.2007.03.050)
Brown, K.A., Gordon, I.G. and Stroppel, C.
(2008)
Cherednik, Hecke and quantum algebras as free Frobenius and Calabi–Yau extensions.
Journal of Algebra, 319(3),
pp. 1007-1034.
(doi: 10.1016/j.jalgebra.2007.10.026)
2007
Ardakov, K. and Brown, K.A.
(2007)
Primeness, semiprimeness and localisation in Iwasawa algebras.
Transactions of the American Mathematical Society, 359,
pp. 1499-1515.
(doi: 10.1090/S0002-9947-06-04153-5)
Brown, K.
(2007)
Noetherian Hopf algebras.
In: Antalya Algebra Days, Antalya, Turkey, 22-27 May 2007,
2006
Brown, K.A., Goodearl, K.R. and Yakimov, M.
(2006)
Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space.
Advances in Mathematics, 206(2),
pp. 567-629.
(doi: 10.1016/j.aim.2005.10.004)
Ardakov, K. and Brown, K.A.
(2006)
Ring-theoretic properties of Iwasawa algebras: a survey.
In: Fesenko, I. (ed.)
A Collection of Manuscripts Written in Honour of John H. Coates on the Occasion of his Sixtieth Birthday.
Series: Documenta mathematica: extra volume (4).
Deutsche Mathematiker-Vereinigung: Bielefeld, Germany, pp. 7-33.
ISBN 9783936609288
2005
Brown, K.
(2005)
Unruffled extensions and flatness over central subalgebras.
Journal of Algebra, 284,
pp. 771-800.
(doi: 10.1016/j.jalgebra.2004.10.008)
2003
Brown, K.
(2003)
Symplectic reflection algebras.
Bulletin of the Irish Mathematical Society, 50,
pp. 27-49.
Brown, K. and Gordon, I.
(2003)
Poisson orders, symplectic reflection algebras and representation theory.
Journal für die reine und angewandte Mathematik (Crelles Journal), 559,
pp. 193-216.
2002
Brown, K.A. and Goodearl, K.R.
(2002)
Lectures on Algebraic Quantum Groups.
Series: Advanced courses in mathematics, CRM Barcelona.
Birkhäuser: Basel, Switzerland.
ISBN 9783764367145
Brown, K. and Gordon, I.
(2002)
The ramifications of the centres: Quantised function algebras at roots of unity.
Proceedings of the London Mathematical Society, 84,
pp. 147-178.
2001
Brown, K. and Gordon, I.
(2001)
The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras.
Mathematische Zeitschrift, 238,
pp. 733-779.
This list was generated on Tue Oct 15 16:52:54 2024 BST.