Professor
David
Jordan
School of Mathematical and Physical Sciences
Emeritus Professor of Mathematics and Statistics
david.jordan@sheffield.ac.uk
Hicks Building
Full contact details
Professor David Jordan
Hicks Building
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.
- 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.
- The Graded Algebra Generated by Two Eulerian Derivatives. 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.
Book chapters
- Poisson brackets and Poisson spectra in polynomial algebras (pp. 169-187). American Mathematical Society
Conference proceedings
- Skew derivations of quantum tori and quantum affine spaces. Journal of Algebra, 672, 261-302.