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## Yu, Jie-Tai

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 Author ID: yu.jie-tai Published as: Yu, Jie-Tai; Yu, Jietai; Yu, J.-T. External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp
 Documents Indexed: 92 Publications since 1987, including 3 Books
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#### Co-Authors

 16 single-authored 20 Shpilrain, Vladimir 19 Drensky, Vesselin 13 Mikhalëv, Aleksandr Aleksandrovich 10 Kanel’-Belov, Alekseĭ Yakovlevich 4 Makar-Limanov, Leonid G. 3 Elishev, Andreĭ Mikhaĭlovich 3 Gong, Sheng-Jun 3 Gutierrez, Jaime 3 Umirbaev, Ualbaĭ Utmakhanbetovich 2 Lam, Chi-Ming 2 Li, Wei 2 Rowen, Louis Halle 2 Zhang, Wenchao 1 Bokut, Leonid A. 1 Campbell, L. Andrew 1 Chan, Kai-Yuen 1 Cheng, Charles Ching-An 1 Feng, Keqin 1 Grigoriev, Sergey N. 1 Li, Yu-Chang 1 Li, Yueyue 1 Li, Yun-Chang 1 Razavinia, Farrokh 1 Rubio, Rosario 1 Sturmfels, Bernd 1 van den Essen, Arno 1 van Rossum, Peter 1 Wang, Stuart Sui-Sheng 1 Zel’manov, Efim Isaakovich 1 Zolotykh, Andrej A.
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#### Serials

 18 Journal of Algebra 9 Communications in Algebra 8 Proceedings of the American Mathematical Society 7 Journal of Pure and Applied Algebra 6 International Journal of Algebra and Computation 5 Algebra Colloquium 3 Doklady Bolgarskoĭ Akademii Nauk 2 Linear and Multilinear Algebra 2 Transactions of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Selecta Mathematica. New Series 2 Journal of the European Mathematical Society (JEMS) 2 Chebyshevskiĭ Sbornik 2 Contemporary Mathematics 1 Bulletin of the Australian Mathematical Society 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Journal of Combinatorial Theory. Series A 1 Manuscripta Mathematica 1 Chinese Annals of Mathematics. Series A 1 Journal of Symbolic Computation 1 Journal of China University of Science and Technology 1 Science in China. Series A 1 Linear Algebra and its Applications 1 Matemática Contemporânea 1 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 1 Frontiers of Mathematics in China
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#### Fields

 60 Commutative algebra (13-XX) 56 Algebraic geometry (14-XX) 26 Associative rings and algebras (16-XX) 16 Nonassociative rings and algebras (17-XX) 12 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

76 Publications have been cited 411 times in 185 Documents Cited by Year
Combinatorial methods. Free groups, polynomials, and free algebras. Zbl 1039.16024
Mikhalev, Alexander A.; Shpilrain, Vladimir; Yu, Jie-Tai
2004
Primitive, almost primitive, test, and $$\Delta$$-primitive elements of free algebras with the Nielsen-Schreier property. Zbl 0956.17001
Mikhalev, Alexander A.; Yu, Jietai
2000
Tame and wild coordinates of $$K[z][x,y]$$. Zbl 0965.13008
Drensky, Vesselin; Yu, Jie-Tai
2001
Polynomial automorphisms and Gröbner reductions. Zbl 0899.13029
Shpilrain, Vladimir; Yu, Jie-Tai
1997
The $$D$$-resultant, singularities and the degree of unfaithfulness. Zbl 0860.13004
van den Essen, Arno; Yu, Jie-Tai
1997
Affine varieties with equivalent cylinders. Zbl 1067.14064
Shpilrain, Vladimir; Yu, Jie-Tai
2002
The strong Nagata conjecture. Zbl 1065.13011
Umirbaev, Ualbai U.; Yu, Jie-Tai
2004
Automorphic orbits in free non-associative algebras. Zbl 1021.17003
Mikhalev, Alexander A.; Umirbaev, Ualbai; Yu, Jie-Tai
2001
$$D$$-resultant for rational functions. Zbl 0997.14018
Gutierrez, Jaime; Rubio, Rosario; Yu, Jie-Tai
2002
Embeddings of curves in the plane. Zbl 0964.14025
Shpilrain, Vladimir; Yu, Jie-Tai
1999
Test elements and retracts of free Lie algebras. Zbl 0881.17003
Mikhalev, Alexander A.; Yu, Jie-Tai
1997
Generic, almost primitive and test elements of free Lie algebras. Zbl 1063.17003
Mikhalev, Alexander A.; Umirbaev, Ualbai; Yu, Jie-Tai
2002
Face polynomials and inversion formula. Zbl 0756.13004
Yu, Jietai
1992
On generators of polynomial algebras in two commuting or non-commuting variables. Zbl 0932.16027
Shpilrain, Vladimir; Yu, Jie-Tai
1998
Polynomial Retracts and the Jacobian Conjecture. Zbl 0944.13011
Shpilrain, Vladimir; Yu, Jie-Tai
2000
Degree estimate for subalgebras generated by two elements. Zbl 1137.16029
Makar-Limanov, Leonid; Yu, Jie-Tai
2008
The stable equivalence and cancellation problems. Zbl 1063.14077
Makar-Limanov, Leonid; van Rossum, Peter; Shpilrain, Vladimir; Yu, Jie-Tai
2004
Test elements, retracts and automorphic orbits of free algebras. Zbl 0923.17006
Mikhalev, Alexander A.; Yu, Jie-Tai
1998
Test elements, retracts and automorphic orbits. Zbl 1159.16018
Gong, Sheng-Jun; Yu, Jie-Tai
2008
The strong Anick conjecture is true. Zbl 1161.16019
Drensky, Vesselin; Yu, Jie-Tai
2007
Orbits in free algebras of rank two. Zbl 0899.16016
Drensky, Vesselin; Yu, Jie-Tai
1998
On relations between Jacobians and minimal polynomials. Zbl 0861.13009
Yu, Jie-Tai
1995
Minimal polynomials and sparse resultants. Zbl 0828.12008
Sturmfels, Bernd; Yu, Jie-Tai
1994
Embeddings of hypersurfaces in affine spaces. Zbl 1064.14076
Shpilrain, Vladimir; Yu, Jie-Tai
2001
Two dimensional coordinate polynomials and dominant maps. Zbl 0979.14029
Campbell, L. Andrew; Yu, Jie-Tai
2000
Test polynomials for automorphisms of polynomial and free associative algebras. Zbl 0967.16020
Drensky, Vesselin; Yu, Jie-Tai
1998
On generalized strongly nilpotent matrices. Zbl 0871.15023
Yu, Jie-Tai
1996
On the lifting of the Nagata automorphism. Zbl 1232.13005
Belov-Kanel, Alexei; Yu, Jie-Tai
2011
Automorphisms of polynomial algebras and Dirichlet series. Zbl 1157.13015
Drensky, Vesselin; Yu, Jie-Tai
2009
Automorphic orbit problem for polynomial algebras. Zbl 1132.13008
Yu, Jie-Tai
2008
Gröbner bases and the Nagata automorphism. Zbl 0932.13013
Drensky, Vesselin; Gutierrez, Jaime; Yu, Jie-Tai
1999
Automorphisms fixing a variable of $$K\langle x,y,z\rangle$$. Zbl 1086.16019
Drensky, Vesselin; Yu, Jie-Tai
2005
Test polynomial, retracts, and the Jacobian conjecture. Zbl 1073.14076
Shpilrain, Vladimir; Yu, Jie-Tai
2005
Factor algebras of free algebras: on a problem of G. Bergman. Zbl 1035.16016
Shpilrain, Vladimir; Yu, Jie-Tai
2003
On endomorphisms of free algebras. Zbl 0946.17001
Mikhalev, Alexander A.; Shpilrain, Vladimir; Yu, Jie-Tai
1999
Automorphisms and coordinates of polynomial algebras. Zbl 0998.14026
Drensky, Vesselin; Yu, Jie-Tai
2000
The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256
Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai
2014
The strong Anick conjecture. Zbl 1161.16020
Drensky, Vesselin; Yu, Jie-Tai
2006
On the augmentation topology of automorphism groups of affine spaces and algebras. Zbl 1423.13107
Kanel-Belov, Alexei; Yu, Jie-Tai; Elishev, Andrey
2018
Images of coordinate polynomials. Zbl 0899.13010
Mikhalev, Alexander A.; Yu, Jie-Tai; Zolotykh, Andrej A.
1997
On generalized cancellation problem. Zbl 1056.13008
Belov, Alexei; Makar-Limanov, Leonid; Yu, Jie-Tai
2004
Computing minimal polynomials and the degree of unfaithfulness. Zbl 0791.13010
Li, Wei; Yu, Jie-Tai
1993
Retracts and test polynomials of polynomial algebras. Zbl 1017.13010
Drensky, V.; Yu, Jie-Tai
2002
Reconstructing birational maps from their face functions. Zbl 0780.14008
Li, Wei; Yu, Jie-Tai
1992
On the Jacobian conjecture: Reduction of coefficients. Zbl 0816.13017
Yu, Jie-Tai
1995
Stable tameness of automorphisms of $$F\langle x,y,z\rangle$$ fixing $$z$$. Zbl 1268.16025
Belov-Kanel, Alexei; Yu, Jie-Tai
2012
Equivalence of polynomials under automorphisms of $$K[x,y]$$. Zbl 1106.14051
Makar-Limanov, Leonid; Shpilrain, Vladimir; Yu, Jie-Tai
2007
Degree bounds of minimal polynomials and polynomial automorphisms. Zbl 0806.12002
Yu, Jie-Tai
1994
Degree bounds for inverses of polynomial automorphisms. Zbl 0811.13012
Cheng, Charles Ching-An; Wang, Stuart Sui-Sheng; Yu, Jie-Tai
1994
Primitive elements of free metabelian algebras of rank two. Zbl 1056.16021
Drensky, Vesselin; Yu, Jie-Tai
2003
Computing minimal polynomials and the inverse via GCP. Zbl 0792.12001
Yu, Jie-Tai
1993
Automorphic orbits of elements of free algebras with the Nielsen-Schreier property. Zbl 0982.17002
Mikhalev, Alexander A.; Yu, Jie-Tai
2000
Peak reduction technique in commutative algebra: a survey. Zbl 1070.14062
Shpilrain, Vladimir; Yu, Jie-Tai
2000
Exponential automorphisms of polynomial algebras. Zbl 0980.16026
Drensky, Vesselin; Yu, Jie-Tai
1998
Degree estimate for subalgebras. Zbl 1267.16023
Li, Yun-Chang; Yu, Jie-Tai
2012
Lifting of polynomial symplectomorphisms and deformation quantization. Zbl 1403.14095
Kanel-Belov, Alexei; Grigoriev, Sergey; Elishev, Andrey; Yu, Jie-Tai; Zhang, Wenchao
2018
A cancellation conjecture for free associative algebras. Zbl 1153.16022
Drensky, Vesselin; Yu, Jie-Tai
2008
The preimage of a coordinate. Zbl 1187.16025
Gong, Sheng-Jun; Yu, Jie-Tai
2010
The linear coordinate preserving problem. Zbl 1144.13005
Gong, Sheng-Jun; Yu, Jie-Tai
2008
Recognizing and parametrizing curves isomorphic to a line. Zbl 1134.13024
Lam, Chi-Ming; Shpilrain, Vladimir; Yu, Jie-Tai
2007
Recognizing automorphisms of polynomial algebras. Zbl 0930.13016
Yu, Jie-Tai
1998
Noncommutative-nilpotent matrices and the Jacobian conjecture. Zbl 0874.15008
Yu, Jie-Tai
1996
Remarks on the Jacobian conjecture. Zbl 0892.14010
Yu, Jie-Tai
1997
Identity polynomials and test polynomials. Zbl 0899.13011
Yu, Jie-Tai
1997
Tame and wild coordinates of $$\mathbb Z[x,y]$$. Zbl 1064.13007
Lam, Chi-Ming; Yu, Jie-Tai
2004
Affine algebraic geometry. Contributions of the special session on affine algebraic geometry at the 1st joint AMS-RSME meeting, Seville, Spain, June 18–21, 2003. Zbl 1058.14001
Gutierrez, Jaime (ed.); Shpilrain, Vladimir (ed.); Yu, Jie-Tai (ed.)
2005
Stable equivalence problems for free algebras with the Nielsen-Schreier property. Zbl 1023.17002
Mikhalev, Alexander A.; Yu, Jie-Tai
2001
Combinatorial problems about free groups and algebras. Zbl 1064.20025
Mikhalev, Alexander A.; Shpilrain, Vladimir; Yu, Jie-Tai
2000
New classes of test polynomials of polynomial algebras. Zbl 0946.13017
Feng, Keqin; Yu, Jietai
1999
On the density of the set of generators of a polynomial algebra. Zbl 0957.13017
Drensky, Vesselin; Shpilrain, Vladimir; Yu, Jie-Tai
2000
Cancellation problems and dimension theory. Zbl 1096.14045
Belov, Alexei; Yu, Jie-Tai
2006
Automorphic equivalence problem for free associative algebras of rank two. Zbl 1149.16021
Drensky, Vesselin; Yu, Jie-Tai
2007
Applications of degree estimate for subalgebras. Zbl 1274.16027
Li, Y.-C.; Yu, J.-T.
2011
Coordinates and automorphisms of polynomial and free associative algebras of rank three. Zbl 1206.16015
Drensky, Vesselin; Yu, Jie-Tai
2007
Tame automorphisms fixing a variable of free associative algebras of rank three. Zbl 1168.16011
Drensky, Vesselin; Yu, Jie-Tai
2007
On low-dimensional cancellation problems. Zbl 1133.14056
Belov, Alexei; Yu, Jie-Tai
2008
On the augmentation topology of automorphism groups of affine spaces and algebras. Zbl 1423.13107
Kanel-Belov, Alexei; Yu, Jie-Tai; Elishev, Andrey
2018
Lifting of polynomial symplectomorphisms and deformation quantization. Zbl 1403.14095
Kanel-Belov, Alexei; Grigoriev, Sergey; Elishev, Andrey; Yu, Jie-Tai; Zhang, Wenchao
2018
The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256
Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai
2014
Stable tameness of automorphisms of $$F\langle x,y,z\rangle$$ fixing $$z$$. Zbl 1268.16025
Belov-Kanel, Alexei; Yu, Jie-Tai
2012
Degree estimate for subalgebras. Zbl 1267.16023
Li, Yun-Chang; Yu, Jie-Tai
2012
On the lifting of the Nagata automorphism. Zbl 1232.13005
Belov-Kanel, Alexei; Yu, Jie-Tai
2011
Applications of degree estimate for subalgebras. Zbl 1274.16027
Li, Y.-C.; Yu, J.-T.
2011
The preimage of a coordinate. Zbl 1187.16025
Gong, Sheng-Jun; Yu, Jie-Tai
2010
Automorphisms of polynomial algebras and Dirichlet series. Zbl 1157.13015
Drensky, Vesselin; Yu, Jie-Tai
2009
Degree estimate for subalgebras generated by two elements. Zbl 1137.16029
Makar-Limanov, Leonid; Yu, Jie-Tai
2008
Test elements, retracts and automorphic orbits. Zbl 1159.16018
Gong, Sheng-Jun; Yu, Jie-Tai
2008
Automorphic orbit problem for polynomial algebras. Zbl 1132.13008
Yu, Jie-Tai
2008
A cancellation conjecture for free associative algebras. Zbl 1153.16022
Drensky, Vesselin; Yu, Jie-Tai
2008
The linear coordinate preserving problem. Zbl 1144.13005
Gong, Sheng-Jun; Yu, Jie-Tai
2008
On low-dimensional cancellation problems. Zbl 1133.14056
Belov, Alexei; Yu, Jie-Tai
2008
The strong Anick conjecture is true. Zbl 1161.16019
Drensky, Vesselin; Yu, Jie-Tai
2007
Equivalence of polynomials under automorphisms of $$K[x,y]$$. Zbl 1106.14051
Makar-Limanov, Leonid; Shpilrain, Vladimir; Yu, Jie-Tai
2007
Recognizing and parametrizing curves isomorphic to a line. Zbl 1134.13024
Lam, Chi-Ming; Shpilrain, Vladimir; Yu, Jie-Tai
2007
Automorphic equivalence problem for free associative algebras of rank two. Zbl 1149.16021
Drensky, Vesselin; Yu, Jie-Tai
2007
Coordinates and automorphisms of polynomial and free associative algebras of rank three. Zbl 1206.16015
Drensky, Vesselin; Yu, Jie-Tai
2007
Tame automorphisms fixing a variable of free associative algebras of rank three. Zbl 1168.16011
Drensky, Vesselin; Yu, Jie-Tai
2007
The strong Anick conjecture. Zbl 1161.16020
Drensky, Vesselin; Yu, Jie-Tai
2006
Cancellation problems and dimension theory. Zbl 1096.14045
Belov, Alexei; Yu, Jie-Tai
2006
Automorphisms fixing a variable of $$K\langle x,y,z\rangle$$. Zbl 1086.16019
Drensky, Vesselin; Yu, Jie-Tai
2005
Test polynomial, retracts, and the Jacobian conjecture. Zbl 1073.14076
Shpilrain, Vladimir; Yu, Jie-Tai
2005
Affine algebraic geometry. Contributions of the special session on affine algebraic geometry at the 1st joint AMS-RSME meeting, Seville, Spain, June 18–21, 2003. Zbl 1058.14001
Gutierrez, Jaime; Shpilrain, Vladimir; Yu, Jie-Tai
2005
Combinatorial methods. Free groups, polynomials, and free algebras. Zbl 1039.16024
Mikhalev, Alexander A.; Shpilrain, Vladimir; Yu, Jie-Tai
2004
The strong Nagata conjecture. Zbl 1065.13011
Umirbaev, Ualbai U.; Yu, Jie-Tai
2004
The stable equivalence and cancellation problems. Zbl 1063.14077
Makar-Limanov, Leonid; van Rossum, Peter; Shpilrain, Vladimir; Yu, Jie-Tai
2004
On generalized cancellation problem. Zbl 1056.13008
Belov, Alexei; Makar-Limanov, Leonid; Yu, Jie-Tai
2004
Tame and wild coordinates of $$\mathbb Z[x,y]$$. Zbl 1064.13007
Lam, Chi-Ming; Yu, Jie-Tai
2004
Factor algebras of free algebras: on a problem of G. Bergman. Zbl 1035.16016
Shpilrain, Vladimir; Yu, Jie-Tai
2003
Primitive elements of free metabelian algebras of rank two. Zbl 1056.16021
Drensky, Vesselin; Yu, Jie-Tai
2003
Affine varieties with equivalent cylinders. Zbl 1067.14064
Shpilrain, Vladimir; Yu, Jie-Tai
2002
$$D$$-resultant for rational functions. Zbl 0997.14018
Gutierrez, Jaime; Rubio, Rosario; Yu, Jie-Tai
2002
Generic, almost primitive and test elements of free Lie algebras. Zbl 1063.17003
Mikhalev, Alexander A.; Umirbaev, Ualbai; Yu, Jie-Tai
2002
Retracts and test polynomials of polynomial algebras. Zbl 1017.13010
Drensky, V.; Yu, Jie-Tai
2002
Tame and wild coordinates of $$K[z][x,y]$$. Zbl 0965.13008
Drensky, Vesselin; Yu, Jie-Tai
2001
Automorphic orbits in free non-associative algebras. Zbl 1021.17003
Mikhalev, Alexander A.; Umirbaev, Ualbai; Yu, Jie-Tai
2001
Embeddings of hypersurfaces in affine spaces. Zbl 1064.14076
Shpilrain, Vladimir; Yu, Jie-Tai
2001
Stable equivalence problems for free algebras with the Nielsen-Schreier property. Zbl 1023.17002
Mikhalev, Alexander A.; Yu, Jie-Tai
2001
Primitive, almost primitive, test, and $$\Delta$$-primitive elements of free algebras with the Nielsen-Schreier property. Zbl 0956.17001
Mikhalev, Alexander A.; Yu, Jietai
2000
Polynomial Retracts and the Jacobian Conjecture. Zbl 0944.13011
Shpilrain, Vladimir; Yu, Jie-Tai
2000
Two dimensional coordinate polynomials and dominant maps. Zbl 0979.14029
Campbell, L. Andrew; Yu, Jie-Tai
2000
Automorphisms and coordinates of polynomial algebras. Zbl 0998.14026
Drensky, Vesselin; Yu, Jie-Tai
2000
Automorphic orbits of elements of free algebras with the Nielsen-Schreier property. Zbl 0982.17002
Mikhalev, Alexander A.; Yu, Jie-Tai
2000
Peak reduction technique in commutative algebra: a survey. Zbl 1070.14062
Shpilrain, Vladimir; Yu, Jie-Tai
2000
Combinatorial problems about free groups and algebras. Zbl 1064.20025
Mikhalev, Alexander A.; Shpilrain, Vladimir; Yu, Jie-Tai
2000
On the density of the set of generators of a polynomial algebra. Zbl 0957.13017
Drensky, Vesselin; Shpilrain, Vladimir; Yu, Jie-Tai
2000
Embeddings of curves in the plane. Zbl 0964.14025
Shpilrain, Vladimir; Yu, Jie-Tai
1999
Gröbner bases and the Nagata automorphism. Zbl 0932.13013
Drensky, Vesselin; Gutierrez, Jaime; Yu, Jie-Tai
1999
On endomorphisms of free algebras. Zbl 0946.17001
Mikhalev, Alexander A.; Shpilrain, Vladimir; Yu, Jie-Tai
1999
New classes of test polynomials of polynomial algebras. Zbl 0946.13017
Feng, Keqin; Yu, Jietai
1999
On generators of polynomial algebras in two commuting or non-commuting variables. Zbl 0932.16027
Shpilrain, Vladimir; Yu, Jie-Tai
1998
Test elements, retracts and automorphic orbits of free algebras. Zbl 0923.17006
Mikhalev, Alexander A.; Yu, Jie-Tai
1998
Orbits in free algebras of rank two. Zbl 0899.16016
Drensky, Vesselin; Yu, Jie-Tai
1998
Test polynomials for automorphisms of polynomial and free associative algebras. Zbl 0967.16020
Drensky, Vesselin; Yu, Jie-Tai
1998
Exponential automorphisms of polynomial algebras. Zbl 0980.16026
Drensky, Vesselin; Yu, Jie-Tai
1998
Recognizing automorphisms of polynomial algebras. Zbl 0930.13016
Yu, Jie-Tai
1998
Polynomial automorphisms and Gröbner reductions. Zbl 0899.13029
Shpilrain, Vladimir; Yu, Jie-Tai
1997
The $$D$$-resultant, singularities and the degree of unfaithfulness. Zbl 0860.13004
van den Essen, Arno; Yu, Jie-Tai
1997
Test elements and retracts of free Lie algebras. Zbl 0881.17003
Mikhalev, Alexander A.; Yu, Jie-Tai
1997
Images of coordinate polynomials. Zbl 0899.13010
Mikhalev, Alexander A.; Yu, Jie-Tai; Zolotykh, Andrej A.
1997
Remarks on the Jacobian conjecture. Zbl 0892.14010
Yu, Jie-Tai
1997
Identity polynomials and test polynomials. Zbl 0899.13011
Yu, Jie-Tai
1997
On generalized strongly nilpotent matrices. Zbl 0871.15023
Yu, Jie-Tai
1996
Noncommutative-nilpotent matrices and the Jacobian conjecture. Zbl 0874.15008
Yu, Jie-Tai
1996
On relations between Jacobians and minimal polynomials. Zbl 0861.13009
Yu, Jie-Tai
1995
On the Jacobian conjecture: Reduction of coefficients. Zbl 0816.13017
Yu, Jie-Tai
1995
Minimal polynomials and sparse resultants. Zbl 0828.12008
Sturmfels, Bernd; Yu, Jie-Tai
1994
Degree bounds of minimal polynomials and polynomial automorphisms. Zbl 0806.12002
Yu, Jie-Tai
1994
Degree bounds for inverses of polynomial automorphisms. Zbl 0811.13012
Cheng, Charles Ching-An; Wang, Stuart Sui-Sheng; Yu, Jie-Tai
1994
Computing minimal polynomials and the degree of unfaithfulness. Zbl 0791.13010
Li, Wei; Yu, Jie-Tai
1993
Computing minimal polynomials and the inverse via GCP. Zbl 0792.12001
Yu, Jie-Tai
1993
Face polynomials and inversion formula. Zbl 0756.13004
Yu, Jietai
1992
Reconstructing birational maps from their face functions. Zbl 0780.14008
Li, Wei; Yu, Jie-Tai
1992
all top 5

#### Cited by 165 Authors

 56 Yu, Jie-Tai 18 Drensky, Vesselin 12 Mikhalëv, Aleksandr Aleksandrovich 11 Kanel’-Belov, Alekseĭ Yakovlevich 10 Umirbaev, Ualbaĭ Utmakhanbetovich 7 Ekici, Naime 7 Shpilrain, Vladimir 5 El Kahoui, M’hammed 5 Klimakov, A. V. 5 Pérez-Díaz, Sonia 5 Shestakov, Ivan Pavlovich 5 Sun, Xiaosong 5 van den Essen, Arno 4 Berson, Joost 4 Makar-Limanov, Leonid G. 4 Moser-Jauslin, Lucy 4 Poloni, Pierre-Marie 3 Du, Xiankun 3 Gong, Sheng-Jun 3 Gutierrez, Jaime 3 Jelonek, Zbigniew 3 Kuroda, Shigeru 3 Mikhalëv, Aleksandr Vasil’evich 3 Öğüşlü, Nazar Şahin 3 Rowen, Louis Halle 3 Vénéreau, Stéphane 2 Artamonov, Vyacheslav Aleksandrovich 2 Bardakov, Valeriĭ Georgievich 2 Blasco, Ángel 2 Busé, Laurent 2 D’Andrea, Carlos 2 de Bondt, Michiel 2 Edo, Eric 2 El Houari, Hassan 2 Elishev, Andreĭ Mikhaĭlovich 2 Emiris, Ioannis Z. 2 Esmerligil, Zerrin 2 Fine, Benjamin L. 2 Fleischmann, Peter 2 Furter, Jean-Philippe 2 Gonzalez-Vega, Laureano 2 Jakubíková-Studenovská, Danica 2 Kawaguchi, Shu 2 Konaxis, Christos 2 Kuttykrishnan, Sooraj 2 Lam, Chi-Ming 2 Li, Wei 2 Liu, Dayan 2 Peretz, Ronen 2 Rosenberger, Gerhard 2 Rúa, Ignacio F. 2 Rubio, Rosario 2 Woodcock, Chris F. 2 Zaidenberg, Mikhail G. 1 Alimbaev, Alibek Alpysbaevich 1 Arzhantsev, Ivan Vladimirovich 1 Assi, Abdallah 1 Ba, Thang Luu 1 Barkatou, Moulay A. 1 Behfar, Roonak 1 Beisenbaeva, Kulaisha 1 Benbouziane, Toufiq 1 Bikker, Jan Willem 1 Bokut, Leonid A. 1 Botbol, Nicolás 1 Bruschi, Mario 1 Calogero, Francesco A. 1 Campbell, L. Andrew 1 Champagnier, K. 1 Cheng, Charles Ching-An 1 Chepovskiĭ, A. A. 1 Corless, Robert Malcolm 1 Crachiola, Anthony J. 1 Díaz-Toca, Gema María 1 Dickenstein, Alicia M. 1 Do Phi Nga 1 Dryło, Robert 1 Dubouloz, Adrien 1 Engel, Ann-Kristin 1 Ershov, Yuriĭ Leonidovich 1 Eskal, Cennet 1 Essamaoui, Najoua 1 Fındık, Şehmus 1 Fioravanti, Mario A. 1 Freudenburg, Gene 1 García Sánchez, Pedro A. 1 Ghahramani, Hoger 1 Goldman, Ron N. 1 Guo, Hongbo 1 Gupta, Chander Kanta 1 Gurjar, Rajendra Vasant 1 Jia, Tingting 1 Jia, Xiaohong 1 Jin, Yong 1 Kahyalar, Dilek 1 Kaliman, Shulim I. 1 Kalinka, Tatjana 1 Kal’menov, Tynysbek Sharipovich 1 Khoroshkin, Anton 1 Kiral, Ersin ...and 65 more Authors
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#### Cited in 54 Serials

 33 Journal of Algebra 20 Journal of Pure and Applied Algebra 17 Communications in Algebra 11 Proceedings of the American Mathematical Society 11 International Journal of Algebra and Computation 7 Computer Aided Geometric Design 6 Journal of Symbolic Computation 6 Journal of Mathematical Sciences (New York) 3 Linear and Multilinear Algebra 3 Journal of the Mathematical Society of Japan 3 Transactions of the American Mathematical Society 3 Proceedings of the National Academy of Sciences of the United States of America 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Algebra Colloquium 3 Journal of Algebra and its Applications 2 Bulletin of the Australian Mathematical Society 2 Moscow University Mathematics Bulletin 2 Manuscripta Mathematica 2 Journal of the American Mathematical Society 2 Linear Algebra and its Applications 2 Selecta Mathematica. New Series 2 Transformation Groups 2 Journal of the European Mathematical Society (JEMS) 2 Chebyshevskiĭ Sbornik 2 Mathematics in Computer Science 2 Frontiers of Mathematics in China 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Czechoslovak Mathematical Journal 1 Mathematische Annalen 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Theoretical Computer Science 1 Transactions of the Moscow Mathematical Society 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Algebraic Geometry 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Tbilisi Mathematical Journal 1 Journal of Commutative Algebra 1 Science China. Mathematics 1 International Journal of Group Theory
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#### Cited in 23 Fields

 113 Algebraic geometry (14-XX) 79 Commutative algebra (13-XX) 43 Nonassociative rings and algebras (17-XX) 34 Associative rings and algebras (16-XX) 13 Group theory and generalizations (20-XX) 9 Numerical analysis (65-XX) 8 Field theory and polynomials (12-XX) 6 General algebraic systems (08-XX) 6 Computer science (68-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX)

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