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## Vancliff, Michaela

Compute Distance To:
 Author ID: vancliff.michaela Published as: Vancliff, Michaela; Vancliff, M.
 Documents Indexed: 28 Publications since 1994
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#### Co-Authors

 6 single-authored 4 Shelton, Brad 3 Cassidy, Thomas 3 Van Rompay, Kristel 3 Veerapen, Padmini P. 2 Chandler, Richard Gene 2 Nafari, Manizheh 2 Stephenson, Darin R. 1 Chirvăsitu, Alexandru 1 McGinnis, Andrew 1 Sierra, Susan J. 1 Smith, S. Paul 1 Špenko, Špela 1 Tomlin, Derek 1 Wiesner, Emilie B. 1 Willaert, Luc
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#### Serials

 8 Journal of Algebra 7 Communications in Algebra 4 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Algebras and Representation Theory 1 Journal of Pure and Applied Algebra 1 Involve
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#### Fields

 27 Associative rings and algebras (16-XX) 24 Algebraic geometry (14-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Nonassociative rings and algebras (17-XX) 3 Number theory (11-XX) 2 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 186 times in 64 Documents Cited by Year
Embedding a quantum nonsingular quadric in a quantum $$\mathbb{P}^3$$. Zbl 0910.16013
Vancliff, Michaela; Van Rompay, Kristel
1997
Some quantum $$\mathbb{P}^3$$s with finitely many points. Zbl 0915.16035
Vancliff, M.; Van Rompay, K.; Willaert, L.
1998
Embedding a quantum rank three quadric in a quantum $$\mathbb{P}^3$$. Zbl 0936.16023
Shelton, Brad; Vancliff, Michaela
1999
Generalizations of graded Clifford algebras and of complete intersections. Zbl 1236.16026
Cassidy, Thomas; Vancliff, Michaela
2010
Quadratic algebras associated with the union of a quadric and a line in $$\mathbb{P}^ 3$$. Zbl 0837.16023
Vancliff, M.
1994
Schemes of line modules. I. Zbl 1016.16018
Shelton, Brad; Vancliff, Michaela
2002
Primitive and Poisson spectra of twists of polynomial rings. Zbl 0939.16018
Vancliff, Michaela
1999
The defining relations of quantum $$n\times n$$ matrices. Zbl 0837.16024
Vancliff, M.
1995
Four-dimensional regular algebras with point scheme, a nonsingular quadric in $$\mathbb{P}^3$$. Zbl 0961.16019
Vancliff, Michaela; Van Rompay, Kristel
2000
Some quantum $$\mathbb{P}^3$$s with one point. Zbl 0926.16037
Shelton, Brad; Vancliff, Michaela
1999
Schemes of line modules. II. Zbl 1056.14002
Shelton, Brad; Vancliff, Michaela
2002
Classifying quadratic quantum $$\mathbb P^2$$s by using graded skew Clifford algebras. Zbl 1254.16019
Nafari, Manizheh; Vancliff, Michaela; Zhang, Jun
2011
Some finite quantum $$\mathbb{P}^3$$s that are infinite modules over their centers. Zbl 1101.16021
Stephenson, Darin R.; Vancliff, Michaela
2006
Constructing Clifford quantum $$\mathbb P^3$$’s with finitely many points. Zbl 1130.15020
Stephenson, Darin R.; Vancliff, Michaela
2007
The one-dimensional line scheme of a certain family of quantum $$\mathbb{P}^3\mathrm{s}$$. Zbl 1348.14005
Chandler, Richard G.; Vancliff, Michaela
2015
The interplay of algebra and geometry in the setting of regular algebras. Zbl 1359.16025
Vancliff, Michaela
2015
Corrigendum: “Generalizations of graded Clifford algebras and of complete intersections”. Zbl 1303.16029
Cassidy, Thomas; Vancliff, Michaela
2014
Generalizing the notion of rank to noncommutative quadratic forms. Zbl 1326.16019
Vancliff, Michaela; Veerapen, Padmini P.
2013
Point modules over regular graded skew Clifford algebras. Zbl 1332.16021
Vancliff, Michaela; Veerapen, Padmini P.
2014
Graded skew Clifford algebras that are twists of graded Clifford algebras. Zbl 1314.16015
Nafari, Manizheh; Vancliff, Michaela
2015
The one-dimensional line scheme of a family of quadratic quantum $$\mathbb{P}^3$$s. Zbl 1398.14006
Tomlin, Derek; Vancliff, Michaela
2018
On the notion of complete intersection outside the setting of skew polynomial rings. Zbl 1315.16023
Vancliff, Michaela
2015
Non-commutative spaces for graded quantum groups and graded Clifford algebras. Zbl 0960.16050
Vancliff, Michaela
2000
The one-dimensional line scheme of a family of quadratic quantum $$\mathbb{P}^3$$s. Zbl 1398.14006
Tomlin, Derek; Vancliff, Michaela
2018
The one-dimensional line scheme of a certain family of quantum $$\mathbb{P}^3\mathrm{s}$$. Zbl 1348.14005
Chandler, Richard G.; Vancliff, Michaela
2015
The interplay of algebra and geometry in the setting of regular algebras. Zbl 1359.16025
Vancliff, Michaela
2015
Graded skew Clifford algebras that are twists of graded Clifford algebras. Zbl 1314.16015
Nafari, Manizheh; Vancliff, Michaela
2015
On the notion of complete intersection outside the setting of skew polynomial rings. Zbl 1315.16023
Vancliff, Michaela
2015
Corrigendum: “Generalizations of graded Clifford algebras and of complete intersections”. Zbl 1303.16029
Cassidy, Thomas; Vancliff, Michaela
2014
Point modules over regular graded skew Clifford algebras. Zbl 1332.16021
Vancliff, Michaela; Veerapen, Padmini P.
2014
Generalizing the notion of rank to noncommutative quadratic forms. Zbl 1326.16019
Vancliff, Michaela; Veerapen, Padmini P.
2013
Classifying quadratic quantum $$\mathbb P^2$$s by using graded skew Clifford algebras. Zbl 1254.16019
Nafari, Manizheh; Vancliff, Michaela; Zhang, Jun
2011
Generalizations of graded Clifford algebras and of complete intersections. Zbl 1236.16026
Cassidy, Thomas; Vancliff, Michaela
2010
Constructing Clifford quantum $$\mathbb P^3$$’s with finitely many points. Zbl 1130.15020
Stephenson, Darin R.; Vancliff, Michaela
2007
Some finite quantum $$\mathbb{P}^3$$s that are infinite modules over their centers. Zbl 1101.16021
Stephenson, Darin R.; Vancliff, Michaela
2006
Schemes of line modules. I. Zbl 1016.16018
Shelton, Brad; Vancliff, Michaela
2002
Schemes of line modules. II. Zbl 1056.14002
Shelton, Brad; Vancliff, Michaela
2002
Four-dimensional regular algebras with point scheme, a nonsingular quadric in $$\mathbb{P}^3$$. Zbl 0961.16019
Vancliff, Michaela; Van Rompay, Kristel
2000
Non-commutative spaces for graded quantum groups and graded Clifford algebras. Zbl 0960.16050
Vancliff, Michaela
2000
Embedding a quantum rank three quadric in a quantum $$\mathbb{P}^3$$. Zbl 0936.16023
Shelton, Brad; Vancliff, Michaela
1999
Primitive and Poisson spectra of twists of polynomial rings. Zbl 0939.16018
Vancliff, Michaela
1999
Some quantum $$\mathbb{P}^3$$s with one point. Zbl 0926.16037
Shelton, Brad; Vancliff, Michaela
1999
Some quantum $$\mathbb{P}^3$$s with finitely many points. Zbl 0915.16035
Vancliff, M.; Van Rompay, K.; Willaert, L.
1998
Embedding a quantum nonsingular quadric in a quantum $$\mathbb{P}^3$$. Zbl 0910.16013
Vancliff, Michaela; Van Rompay, Kristel
1997
The defining relations of quantum $$n\times n$$ matrices. Zbl 0837.16024
Vancliff, M.
1995
Quadratic algebras associated with the union of a quadric and a line in $$\mathbb{P}^ 3$$. Zbl 0837.16023
Vancliff, M.
1994
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#### Cited by 57 Authors

 18 Vancliff, Michaela 6 Shelton, Brad 6 Zhang, James J. 5 Oh, Sei-Qwon 5 Smith, S. Paul 4 Cassidy, Thomas 4 Chirvăsitu, Alexandru 3 Goetz, Pete 3 Mori, Izuru 3 Stephenson, Darin R. 3 Van den Bergh, Michel 3 Van Rompay, Kristel 2 Chandler, Richard Gene 2 De Laet, Kevin 2 Launois, Stéphane 2 Lecoutre, César 2 Nafari, Manizheh 2 Park, Choonkil 2 Shin, Yongyeon 2 Ueyama, Kenta 2 Veerapen, Padmini P. 1 Bauwens, Kristien 1 Belmans, Pieter 1 Brandl, M. Katherine 1 Chen, Zhiqi 1 Davies, Andrew 1 Dietz, Geoffrey D. 1 Fish, Christopher D. 1 Gaddis, Jason 1 Higginbottom, Ryan S. 1 Hu, Xianguo 1 Jakobsen, Hans Plesner 1 Jordan, David Alan 1 Kang, Yifang 1 Kirkman, Ellen E. 1 Kuzmanovich, James J. 1 Le Bruyn, Lieven 1 Lezama, José Oswaldo 1 Lu, Di-Ming 1 Lu, Jiafeng 1 Mao, XueFeng 1 Ohn, Christian 1 Palmieri, John H. 1 Rogalski, Daniel 1 Skryabin, Serge 1 Stafford, J. Toby 1 Tingey, Craig 1 Tomlin, Derek 1 Walton, Chelsea 1 Wang, Shengqiang 1 Wang, Xingting 1 Wang, Yaxiu 1 Willaert, Luc 1 Wong, Liang Ze 1 Wu, Quanshui S. 1 Zhang, Hechun 1 Zhu, Can
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#### Cited in 20 Serials

 19 Journal of Algebra 18 Communications in Algebra 4 Journal of Pure and Applied Algebra 3 Transactions of the American Mathematical Society 2 Advances in Mathematics 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Algebras and Representation Theory 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Pacific Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Advances in Applied Clifford Algebras 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry
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#### Cited in 10 Fields

 60 Associative rings and algebras (16-XX) 32 Algebraic geometry (14-XX) 20 Nonassociative rings and algebras (17-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Quantum theory (81-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Differential geometry (53-XX)