## Kirkman, Ellen E.

Compute Distance To:
 Author ID: kirkman.ellen-e Published as: Kirkman, Ellen; Kirkman, E.; Kirkman, Ellen E. more...less
 Documents Indexed: 53 Publications since 1977 Co-Authors: 30 Co-Authors with 50 Joint Publications 467 Co-Co-Authors
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### Co-Authors

 3 single-authored 28 Kuzmanovich, James J. 13 Zhang, James J. 8 Moore, W. Frank 4 Small, Lance W. 4 Walton, Chelsea 4 Won, Robert 3 Chan, Kenneth S. 3 Conner, Andrew 3 Ferraro, Luigi 2 Benkart, Georgia M. 2 Biswal, Rekha 2 Gaddis, Jason 2 Green, Edward Lee 2 Musson, Ian M. 2 Zhu, Jieru 1 Barr, Tom 1 Blair, Richelle 1 Cassidy, Thomas 1 Chen, Jianmin 1 Feustel, Charles D. 1 Fryer, Siân 1 Fuelberth, John D. 1 Fujita, Hisaaki 1 Kanstrup, Tina 1 Passman, Donald Steven 1 Peng, Kewen 1 Procesi, Claudio 1 Shepler, Anne V. 1 Van C. Nguyen 1 Witherspoon, Sarah J.
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### Serials

 18 Journal of Algebra 8 Proceedings of the American Mathematical Society 7 Communications in Algebra 3 Journal of Pure and Applied Algebra 2 Algebras and Representation Theory 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Transformation Groups 1 Journal of Noncommutative Geometry
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### Fields

 51 Associative rings and algebras (16-XX) 5 Commutative algebra (13-XX) 5 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 3 Algebraic geometry (14-XX) 3 Category theory; homological algebra (18-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 $$K$$-theory (19-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

46 Publications have been cited 557 times in 324 Documents Cited by Year
Finitistic dimensions of finite dimensional monomial algebras. Zbl 0727.16003
Green, Edward L.; Kirkman, Ellen; Kuzmanovich, James
1991
Noetherian down-up algebras. Zbl 0940.16012
Kirkman, Ellen; Musson, Ian M.; Passman, D. S.
1999
A $$q$$-analog for the Virasoro algebra. Zbl 0813.17009
Kirkman, E.; Procesi, C.; Small, L.
1994
Gorenstein subrings of invariants under Hopf algebra actions. Zbl 1225.16015
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2009
Shephard-Todd-Chevalley theorem for skew polynomial rings. Zbl 1215.16032
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2010
Rigidity of graded regular algebras. Zbl 1185.16043
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2008
Quantum binary polyhedral groups and their actions on quantum planes. Zbl 1401.16045
Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J.
2016
Fixed subrings of Noetherian graded regular rings. Zbl 1127.16031
Kirkman, Ellen; Kuzmanovich, James
2005
Mckay correspondence for semisimple Hopf actions on regular graded algebras. I. Zbl 1420.16018
Chan, Kenneth; Kirkman, E.; Walton, C.; Zhang, J. J.
2018
$$q$$-analogs of harmonic oscillators and related rings. Zbl 0783.17006
Kirkman, Ellen E.; Small, Lance W.
1993
Noncommutative complete intersections. Zbl 1360.16012
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2015
Global dimensions of a class of tiled orders. Zbl 0684.16001
Kirkman, Ellen; Kuzmanovich, James
1989
Non-Noetherian down-up algebras. Zbl 0967.16013
Kirkman, Ellen; Kuzmanovich, James
2000
Finitistic dimensions of Noetherian rings. Zbl 0765.16004
Kirkman, E.; Kuzmanovich, J.; Small, L.
1992
McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044
Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J.
2019
Primitivity of Noetherian down-up algebras. Zbl 0965.16001
Kirkman, Ellen; Kuzmanovich, James
2000
Invariant theory of finite group actions on down-up algebras. Zbl 1356.16021
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2015
Invariants of $$(-1)$$-skew polynomial rings under permutation representations. Zbl 1335.16030
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2014
Constructing projective resolutions. Zbl 0796.16006
Feustel, Charles D.; Green, Edward L.; Kirkman, Ellen; Kuzmanovich, James
1993
Auslander’s theorem for permutation actions on noncommutative algebras. Zbl 1470.16021
Gaddis, Jason; Kirkman, Ellen; Moore, W. Frank; Won, Robert
2019
On the finitistic dimension of fixed subrings. Zbl 0819.16003
Kirkman, E.; Kuzmanovich, J.
1994
Minimal prime ideals in enveloping algebras of Lie superalgebras. Zbl 0865.17003
Kirkman, Ellen; Kuzmanovich, James
1996
Orders over hereditary rings. Zbl 0405.16013
Kirkman, Ellen E.; Kuzmanovich, James J.
1978
Global and Krull dimensions of quantum Weyl algebras. Zbl 0933.16022
Fujita, Hisaaki; Kirkman, Ellen; Kuzmanovich, James
1999
On the global dimension of fibre products. Zbl 0617.16014
Kirkman, Ellen; Kuzmanovich, James
1988
On the discriminant of twisted tensor products. Zbl 1394.16047
Gaddis, Jason; Kirkman, Ellen; Moore, W. Frank
2017
Matrix subrings having finite global dimension. Zbl 0621.16029
Kirkman, Ellen; Kuzmanovich, James
1987
Hopf down-up algebras. Zbl 1053.16028
Kirkman, Ellen E.; Musson, Ian M.
2003
Nakayama automorphism and rigidity of dual reflection group coactions. Zbl 1460.16009
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2017
Hereditary module-finite algebras. Zbl 0393.16007
Fuelberth, J.; Kirkman, E.; Kuzmanovich, J.
1979
Invariant theory of Artin-Schelter regular algebras: a survey. Zbl 1371.16013
Kirkman, Ellen E.
2016
Periodic free resolutions from twisted matrix factorizations. Zbl 1378.16003
Cassidy, Thomas; Conner, Andrew; Kirkman, Ellen; Moore, W. Frank
2016
Rigidity of down-up algebras with respect to finite group coactions. Zbl 1380.16025
Chen, Jian Min; Kirkman, E.; Zhang, J. J.
2017
Three infinite families of reflection Hopf algebras. Zbl 1437.16024
Ferraro, Luigi; Kirkman, Ellen; Moore, W. Frank; Won, Robert
2020
Algebras with large homological dimensions. Zbl 0696.16020
Kirkman, Ellen; Kuzmanovich, James
1990
Hereditary finitely generated algebras satisfying a polynomial identity. Zbl 0478.16001
Kirkman, Ellen E.; Kuzmanovich, James
1981
Examples of FCR-algebras. Zbl 1029.16016
Kirkman, Ellen E.; Small, Lance W.
2002
Degree bounds for Hopf actions on Artin-Schelter regular algebras. Zbl 07472323
Kirkman, E.; Won, R.; Zhang, J. J.
2022
Inertial coefficient rings and the idempotent lifting property. Zbl 0347.13002
Kirkman, Ellen E.
1977
On the Noether bound for noncommutative rings. Zbl 1479.16038
Ferraro, Luigi; Kirkman, Ellen; Moore, W. Frank; Peng, Kewen
2021
The Pierce representation of an inertial coefficient ring. Zbl 0393.16008
Kirkman, Ellen E.
1978
Right hereditary affine PI rings are left hereditary. Zbl 0642.16013
Kirkman, Ellen; Kuzmanovich, James
1988
Hereditary rings integral over their centers. Zbl 0587.16003
Kirkman, Ellen; Kuzmanovich, James
1986
Down-up algebras from trees. Zbl 1156.16018
Kirkman, Ellen; Kuzmanovich, James
2006
Finiteness conditions on the Yoneda algebra of a monomial algebra. Zbl 1309.16009
Conner, Andrew; Kirkman, Ellen; Kuzmanovich, James; Moore, W. Frank
2014
The Jacobian, reflection arrangement and discriminant for reflection Hopf algebras. Zbl 07455987
Kirkman, E.; Zhang, J. J.
2021
Degree bounds for Hopf actions on Artin-Schelter regular algebras. Zbl 07472323
Kirkman, E.; Won, R.; Zhang, J. J.
2022
On the Noether bound for noncommutative rings. Zbl 1479.16038
Ferraro, Luigi; Kirkman, Ellen; Moore, W. Frank; Peng, Kewen
2021
The Jacobian, reflection arrangement and discriminant for reflection Hopf algebras. Zbl 07455987
Kirkman, E.; Zhang, J. J.
2021
Three infinite families of reflection Hopf algebras. Zbl 1437.16024
Ferraro, Luigi; Kirkman, Ellen; Moore, W. Frank; Won, Robert
2020
McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044
Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J.
2019
Auslander’s theorem for permutation actions on noncommutative algebras. Zbl 1470.16021
Gaddis, Jason; Kirkman, Ellen; Moore, W. Frank; Won, Robert
2019
Mckay correspondence for semisimple Hopf actions on regular graded algebras. I. Zbl 1420.16018
Chan, Kenneth; Kirkman, E.; Walton, C.; Zhang, J. J.
2018
On the discriminant of twisted tensor products. Zbl 1394.16047
Gaddis, Jason; Kirkman, Ellen; Moore, W. Frank
2017
Nakayama automorphism and rigidity of dual reflection group coactions. Zbl 1460.16009
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2017
Rigidity of down-up algebras with respect to finite group coactions. Zbl 1380.16025
Chen, Jian Min; Kirkman, E.; Zhang, J. J.
2017
Quantum binary polyhedral groups and their actions on quantum planes. Zbl 1401.16045
Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J.
2016
Invariant theory of Artin-Schelter regular algebras: a survey. Zbl 1371.16013
Kirkman, Ellen E.
2016
Periodic free resolutions from twisted matrix factorizations. Zbl 1378.16003
Cassidy, Thomas; Conner, Andrew; Kirkman, Ellen; Moore, W. Frank
2016
Noncommutative complete intersections. Zbl 1360.16012
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2015
Invariant theory of finite group actions on down-up algebras. Zbl 1356.16021
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2015
Invariants of $$(-1)$$-skew polynomial rings under permutation representations. Zbl 1335.16030
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2014
Finiteness conditions on the Yoneda algebra of a monomial algebra. Zbl 1309.16009
Conner, Andrew; Kirkman, Ellen; Kuzmanovich, James; Moore, W. Frank
2014
Shephard-Todd-Chevalley theorem for skew polynomial rings. Zbl 1215.16032
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2010
Gorenstein subrings of invariants under Hopf algebra actions. Zbl 1225.16015
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2009
Rigidity of graded regular algebras. Zbl 1185.16043
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J.
2008
Down-up algebras from trees. Zbl 1156.16018
Kirkman, Ellen; Kuzmanovich, James
2006
Fixed subrings of Noetherian graded regular rings. Zbl 1127.16031
Kirkman, Ellen; Kuzmanovich, James
2005
Hopf down-up algebras. Zbl 1053.16028
Kirkman, Ellen E.; Musson, Ian M.
2003
Examples of FCR-algebras. Zbl 1029.16016
Kirkman, Ellen E.; Small, Lance W.
2002
Non-Noetherian down-up algebras. Zbl 0967.16013
Kirkman, Ellen; Kuzmanovich, James
2000
Primitivity of Noetherian down-up algebras. Zbl 0965.16001
Kirkman, Ellen; Kuzmanovich, James
2000
Noetherian down-up algebras. Zbl 0940.16012
Kirkman, Ellen; Musson, Ian M.; Passman, D. S.
1999
Global and Krull dimensions of quantum Weyl algebras. Zbl 0933.16022
Fujita, Hisaaki; Kirkman, Ellen; Kuzmanovich, James
1999
Minimal prime ideals in enveloping algebras of Lie superalgebras. Zbl 0865.17003
Kirkman, Ellen; Kuzmanovich, James
1996
A $$q$$-analog for the Virasoro algebra. Zbl 0813.17009
Kirkman, E.; Procesi, C.; Small, L.
1994
On the finitistic dimension of fixed subrings. Zbl 0819.16003
Kirkman, E.; Kuzmanovich, J.
1994
$$q$$-analogs of harmonic oscillators and related rings. Zbl 0783.17006
Kirkman, Ellen E.; Small, Lance W.
1993
Constructing projective resolutions. Zbl 0796.16006
Feustel, Charles D.; Green, Edward L.; Kirkman, Ellen; Kuzmanovich, James
1993
Finitistic dimensions of Noetherian rings. Zbl 0765.16004
Kirkman, E.; Kuzmanovich, J.; Small, L.
1992
Finitistic dimensions of finite dimensional monomial algebras. Zbl 0727.16003
Green, Edward L.; Kirkman, Ellen; Kuzmanovich, James
1991
Algebras with large homological dimensions. Zbl 0696.16020
Kirkman, Ellen; Kuzmanovich, James
1990
Global dimensions of a class of tiled orders. Zbl 0684.16001
Kirkman, Ellen; Kuzmanovich, James
1989
On the global dimension of fibre products. Zbl 0617.16014
Kirkman, Ellen; Kuzmanovich, James
1988
Right hereditary affine PI rings are left hereditary. Zbl 0642.16013
Kirkman, Ellen; Kuzmanovich, James
1988
Matrix subrings having finite global dimension. Zbl 0621.16029
Kirkman, Ellen; Kuzmanovich, James
1987
Hereditary rings integral over their centers. Zbl 0587.16003
Kirkman, Ellen; Kuzmanovich, James
1986
Hereditary finitely generated algebras satisfying a polynomial identity. Zbl 0478.16001
Kirkman, Ellen E.; Kuzmanovich, James
1981
Hereditary module-finite algebras. Zbl 0393.16007
Fuelberth, J.; Kirkman, E.; Kuzmanovich, J.
1979
Orders over hereditary rings. Zbl 0405.16013
Kirkman, Ellen E.; Kuzmanovich, James J.
1978
The Pierce representation of an inertial coefficient ring. Zbl 0393.16008
Kirkman, Ellen E.
1978
Inertial coefficient rings and the idempotent lifting property. Zbl 0347.13002
Kirkman, Ellen E.
1977
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### Cited by 281 Authors

 32 Kirkman, Ellen E. 28 Zhang, James J. 20 Kuzmanovich, James J. 10 Gaddis, Jason 9 Walton, Chelsea 8 Bavula, Vladimir V. 7 Green, Edward Lee 7 He, Jiwei 7 Lin, Weiqiang 7 Moore, W. Frank 7 Shi, Hongbo 7 Won, Robert 7 Zhao, Kaiming 6 Cassidy, Thomas 6 Chan, Kenneth S. 6 Wang, Yanhua 6 Xi, Changchang 6 Zhang, Yinhuo 5 Lopes, Samuel A. 5 Musson, Ian M. 5 Pei, Yufeng 5 Tan, Shao Bin 5 van Oystaeyen, Freddy 5 Wei, Jiaqun 5 Wilson, Mark Curtis 4 Beidar, Konstantin Igorevich 4 Carvalho, Paula A. A. B. 4 Ferraro, Luigi 4 Jiang, Cuipo 4 Jøndrup, Søren 4 Reyes, Armando 4 Richard, Lionel 4 Solotar, Andrea Leonor 4 Ueyama, Kenta 4 Zimmermann-Huisgen, Birge 3 Chebotar, Mikhail A. 3 Chouhy, Sergio 3 Conner, Andrew 3 Fujita, Hisaaki 3 Fuller, Kent R. 3 Guo, Xiangqian 3 Hartwig, Jonas T. 3 Hu, Naihong 3 Jiang, Jingjing 3 Launois, Stéphane 3 Liu, Dong 3 Mao, XueFeng 3 Mori, Izuru 3 Rogalski, Daniel 3 Shen, Yuan 3 Tang, Xin 3 Wang, Yong 3 Xu, Dengming 3 Zacharia, Dan 3 Zhu, Ruipeng 2 Bai, Chengming 2 Bao, Yanhong 2 Bell, Jason P. 2 Ben Yakoub, L’Moufadal 2 Bergen, Jeffrey 2 Burgess, Walter D. 2 Çeken, Seçil 2 Chen, Jianmin 2 Choi, Seul Hee 2 Chuang, Chen-Lian 2 Cowley, Kevin Michael 2 Erdmann, Karin 2 Estrada, Sergio 2 Etingof, Pavel Il’ich 2 Futorny, Vyacheslav M. 2 Goetz, Pete 2 Goodearl, Kenneth R. 2 Hajarnavis, Charudatta R. 2 Happel, Dieter 2 Hildebrand, Jeff 2 Huang, Zhaoyong 2 Igusa, Kiyoshi 2 Jordan, David Alan 2 Kulkarni, Rajesh S. 2 Kyrychenko, Volodymyr Vasyl’ovych 2 Lezama, Oswaldo 2 Lin, Shangyuan 2 Liu, Xuewen 2 Lomp, Christian 2 Lu, Di-Ming 2 Lü, Rencai 2 Malliavin, Marie-Paule 2 Markov, Viktor Timofeevich 2 Meng, Daoji 2 Mikhalëv, Aleksandr Vasil’evich 2 Naidu, Deepak 2 Nam, Ki-Bong 2 Negron, Cris 2 Osborn, James Marshall 2 Palmieri, John H. 2 Praton, Iwan 2 Price, Kenneth L. 2 Qin, Xiaoshan 2 Razavinia, Farrokh 2 Reyes, Manuel L. ...and 181 more Authors
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### Cited in 58 Serials

 74 Journal of Algebra 71 Communications in Algebra 19 Journal of Pure and Applied Algebra 16 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 10 Advances in Mathematics 9 Journal of Algebra and its Applications 8 Israel Journal of Mathematics 8 Algebras and Representation Theory 6 Mathematische Zeitschrift 5 Manuscripta Mathematica 5 Journal of Noncommutative Geometry 4 Archiv der Mathematik 4 Glasgow Mathematical Journal 4 Journal of Symbolic Computation 4 Algebra Colloquium 4 Acta Mathematica Sinica. English Series 3 Bulletin of the Australian Mathematical Society 3 Selecta Mathematica. New Series 3 Transformation Groups 3 Communications in Contemporary Mathematics 2 Journal of Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Soviet Mathematics 2 Nagoya Mathematical Journal 2 Journal of Mathematical Sciences (New York) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Frontiers of Mathematics in China 2 São Paulo Journal of Mathematical Sciences 1 Linear and Multilinear Algebra 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Rendiconti del Seminario Matematico della Università di Padova 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Science in China. Series A 1 International Journal of Algebra and Computation 1 Linear Algebra and its Applications 1 Acta Mathematica Sinica. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 Advances in Applied Clifford Algebras 1 Journal of the Australian Mathematical Society 1 International Journal of Number Theory 1 Journal of Homotopy and Related Structures 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematics and Statistics 1 Actes des Rencontres du C.I.R.M. 1 Annales Henri Lebesgue
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### Cited in 20 Fields

 268 Associative rings and algebras (16-XX) 80 Nonassociative rings and algebras (17-XX) 33 Category theory; homological algebra (18-XX) 20 Commutative algebra (13-XX) 16 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Quantum theory (81-XX) 4 Number theory (11-XX) 4 $$K$$-theory (19-XX) 4 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)