Publications
Last updated June 30, 2021.
- On free subsemigroups of associative
algebras, Proc. Amer. Math. Soc., 148 (2020), 457–460.
- On q-commutative power and Laurent series rings at roots of unity (with
Linhong Wang and Xingting Wang), Comm. Algebra, 47 (2019),
2149-2156.
- On graded characterizations of finite dimensionality for algebraic
algebras, Archiv der Mathematik (Basel), 109 (2017), 499-503.
- Continuity is an adjoint functor, Amer. Math.
Monthly, 122 (2015), 70-74.
- Goldie ranks of skew power series rings
of automorphic type (with Linhong
Wang), Comm. Alg., 40 (2012), 1911-1917.
- On prime ideals of noetherian skew power series rings, Israel
J. Math., 192 (2012), 67-81.
- Prime ideals of
q-commutative
power series rings (with Linhong
Wang), Algebr. Represent. Theory, 14 (2011), 1003-1023.
- Noetherian skew inverse power series rings (with
Linhong Wang), Algebr. Represent. Theory, 13 (2010), 303-314.
- Semiclassical limits of quantum affine spaces
(with K. R. Goodearl), Proc. Edinburgh Math. Soc. (2), 52
(2009), 387-407.
- Noncommutative images of commutative
spectra, J. Algebra Appl., 7 (2008), 535-552.
- Detecting infinitely many semisimple
representations in a fixed finite
dimension, J. Algebra, 320 (2008), 3926-3934.
- Commutator Hopf subalgebras and irreducible
representations, Comm. Alg., 35 (2007), 2183-2190.
- A remark on closed noncommuative subspaces, Proc. Amer. Math. Soc., 135 (2007),1-4.
- The closed-point Zariski topology for
irreducible representations (with K. R. Goodearl),
J. Alg. Appl., 5 (2006), 719-730.
- On continuous and adjoint morphisms between noncommutative
prime spectra, Proc. Edinburgh
Math. Soc. (2), 49 (2006), 367-381.
- Effective detection of nonsplit module extensions,
J. Pure Applied Algebra, 198 (2005),
225-236.
- Noetherianity of the space of irreducible representations,
Israel J. Math., 136 (2003), 307-316.
- An affine PI Hopf algebra not finite over a normal commutative
Hopf subalgebra (with S. Gelaki), Proc.
Amer. Math. Soc., 131 (2003), 2673-2679.
- Prime and Primitive Ideals in Graded Deformations of Algebraic
Quantum Groups at Roots of Unity, Algebr. Represent.
Theory , 6 (2003), 47-70.
- Counting equivalence classes of irreducible representations,
Algebra Montpellier Announcements (2001):
http://www.emis.de/journals/AMA/AMA01-2001/index01-2001.html
- Constructing irreducible representations
of finitely presented algebras, J. Symbolic
Computation, 32 (2001), 255-262.
- Quantum n-space as a quotient of classical n-space (with
K. R. Goodearl), Trans. Amer. Mat. Soc., 352 (2000),
5855-5876.
- The Dixmier-Moeglin equivalence in quantum coordinate rings
and quantized Weyl algebras (with K. R. Goodearl),
Trans. Amer. Math. Soc., 352 (2000), 1381-1403.
- Module extensions over classical Lie superalgebras,
Representation Theory (An Electronic Journal of the
AMS), 3 (1999), 354-372.
- Noetherian centralizing Hopf algebra extensions and finite
morphisms of quantum groups, Bull. London Math. Soc. ,
31 (1999), 523-530.
- Polycyclic-by-finite group algebras are
catenary (with Martin Lorenz), Math.
Research Letters, 6 (1999), 183-194.
- Remarks on the twisted adjoint representation of R_q[G],
Comm. Alg. , 27 (1999), 1889-1893.
- Prime and Primitive Spectra of Multiparameter Quantum Affine
Spaces (with K. R. Goodearl), in Trends in Ring Theory,
edited by V. Dlab and L. M\'arki, Canadian Mathematical Society
Conference Proceedings, vol. 22 (AMS, Providence, 1998), 39-58.
- A Bijection of Primitive Spectra for Classical Lie
Superalgebras of Type I, J. London Math. Soc., 53
(1996), 39-49.
- On the Quantum Frobenius Map for General Linear Groups,
J. Algebra, 170 (1996), 115-126.
- Skew Polynomial Extensions of Commutative Noetherian Jacobson
Rings (with K. R. Goodearl), Proc. Amer. Math. Soc., 123
(1995), 1673-1680
- Prime Factor Algebras of the Coordinate Ring of Quantum Matrices
(with K. R. Goodearl), Proc. Amer. Math. Soc., 121
(1994), 1017-1025.
- Complete Sets of Representations for Classical Lie Superalgebras
(with I. M. Musson), Letters Math. Phys., 31 (1994),
247-253.
- Prime Ideals in Skew and q-Skew Polynomial Rings (with
K. R. Goodearl), Mem. Amer. Math. Soc., vol. 109,
no. 521 (1994), 106 pages.
- Finite Correspondence of Spectra in Noetherian Ring Extensions,
Proc. Amer. Math. Soc., 116 (1992), 645-652.
- Prime and Primitive Ideals in Enveloping Algebras of Solvable Lie
Superalgebras, in Abelian Groups and Noncommutative Rings: A
Collection of Papers in Memory of Robert B. Warfield, Jr.,
edited by L. Fuchs, et. al., Contemporary Mathematics, vol. 130 (AMS,
Providence, 1992), 237-255.
- On the Ring Extensions Arising from Completely Solvable Lie
Superalgebras, J. Algebra, 146 (1992), 175-189.
- Prime Ideals in Finite Extensions of Noetherian Rings, J. Algebra,
135 (1990), 412-439.
- The Fundamental Prime Ideals of a Noetherian Prime PI Ring (with
T. H. Lenagan), Proc. Edinburgh Math. Soc. , 33 (1990),
113-121.
- Primitive Ideals in Finite Extensions of Noetherian Rings,
J. London Math. Soc. (2), 39 (1989), 427-435.