Home > Research > Publications & Outputs
  1. Published

    Minimal non-supersolvable Lie algebras

    Towers, D., 1985, In: Algebras, Groups and Geometries. 2, p. 1-9 9 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  2. Published

    The index complex of a maximal subalgebra of a Lie algebra.

    Towers, D. A., 1/06/2011, In: Proceedings of the Edinburgh Mathematical Society. 54, 2, p. 531-542 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. Published

    A Frattini theory for algebras

    Towers, D., 09/1973, In: Proceedings of the London Mathematical Society. 27, 3, p. 440-462 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  4. Published

    Frattini theory for restricted Lie algebras

    Towers, D. & Lincoln, M., 1985, In: Archiv der Mathematik. 45, p. 451-457 7 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  5. Published

    Elementary Lie Algebras and Lie A-Algebras.

    Towers, D. A. & Varea, V. R., 15/06/2007, In: Journal of Algebra. 312, 2, p. 891-901 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  6. Published

    Problems faced by mathematics students at the school/higher education interface

    Towers, D., 1985, In: Mathematical Gazette. 69, p. 180-187 8 p.

    Research output: Contribution to Journal/MagazineJournal article

  7. Published

    Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

    Towers, D. A., 2013, In: Proceedings of the American Mathematical Society. 141, 6, p. 1893-1901 9 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. Published

    The Frattini subalgebras of certain infinite-dimensional Lie algebras

    Towers, D. & Stewart, I., 09/1975, In: Journal of the London Mathematical Society. 11, 2, p. 207-215 9 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  9. Published

    Frattini embeddings of ideals in modular Lie algebras

    Towers, D., 1984, In: Archiv der Mathematik. 43, p. 121-123 3 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. Published

    Solvable complemented Lie algebras.

    Towers, D. A., 1/01/2012, In: Proceedings of the American Mathematical Society. 140, 11, p. 3823-3830 8 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  11. Published

    Measuring the impact of cuts in public expenditure on the provision of services to prevent violence against women

    Towers, J. & Walby, S., 2012, Northern Rock Foundation. 58 p.

    Research output: Book/Report/ProceedingsCommissioned report

  12. Published

    Lie algebras all of whose maximal subalgebras have codimension one

    Towers, D., 1981, In: Proceedings of the Edinburgh Mathematical Society. 24, p. 217-219 3 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  13. Published

    On modular* subalgebras of a Lie algebra

    Towers, D., 1997, In: Journal of Algebra. 190, 2, p. 461-473 13 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  14. Published

    The role of mathematics education courses in undergraduate mathematics teaching

    Towers, D., 08/1986. 0 p.

    Research output: Contribution to conference - Without ISBN/ISSN Conference paper

  15. Published

    Lattice isomorphisms of Lie algebras

    Towers, D., 1981, In: Mathematical Proceedings of the Cambridge Philosophical Society. 89, p. 285-292 8 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. Published

    On certain decompositions of solvable Lie algebras

    Towers, D., 12/2014, In: Journal of Lie Theory. 24, 4, p. 969-978 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  17. Published

    On Lie algebras in which modular pairs of subalgebras are permutable

    Towers, D., 02/1981, In: Journal of Algebra. 68, 2, p. 369-377 9 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  18. Published

    Higher-order Bernstein algebras given by symmetric bilinear forms

    Towers, D. & Bowman, K., 02/1997, In: Linear Algebra and its Applications. 252, 1-3, p. 71-79 9 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  19. Published

    The generalised nilradical of a Lie algebra

    Towers, D. A., 15/01/2017, In: Journal of Algebra. 470, p. 197-218 22 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  20. Published

    On power-associative Bernstein algebras of arbitrary order

    Towers, D., 1996, In: Algebras, Groups and Geometries. 13, p. 295-322 28 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  21. Published

    Lie algebras all of whose proper subalgebras are nilpotent

    Towers, D., 1980, In: Linear Algebra and its Applications. 32, p. 61-73 13 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  22. Published

    A Guide to Linear Algebra

    Towers, D., 1987, Palgrave Macmillan. 210 p. (Palgrave Guides)

    Research output: Book/Report/ProceedingsBook

  23. Published

    Dimension preserving lattice isomorphisms of Lie algebras

    Towers, D., 1980, In: Communications in Algebra. 8, 14, p. 1371-1386 16 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  24. Published

    Maximal subalgebras and chief factors of Lie algebras

    Towers, D., 01/2016, In: Journal of Pure and Applied Algebra. 220, 1, p. 482-493 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  25. Published

    Dualisms of Lie algebras

    Towers, D., 08/1979, In: Journal of Algebra. 59, 2, p. 490-495 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  26. Published

    On ideally finite Lie algebras which are lower semi-modular

    Towers, D., 1985, In: Proceedings of the Edinburgh Mathematical Society. 28, p. 9-11 3 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  27. Published

    The nilradical of a Leibniz algebra

    Towers, D., 31/10/2021, In: Communications in Algebra. 49, 10, p. 4345-4347 3 p.

    Research output: Contribution to Journal/MagazineJournal article

  28. Published

    On minimal non-elementary Lie algebras

    Towers, D., 2015, In: Proceedings of the American Mathematical Society. 143, 1, p. 117-120 4 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  29. Published

    Lattice automorphisms of Lie algebras

    Towers, D., 1986, In: Archiv der Mathematik. 46, p. 39-43 5 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  30. Published

    On maximal subalgebras and a generalised Jordan-Holder Theorem for Lie algebras

    Towers, D. A., 4/03/2017, In: Communications in Algebra. 45, 3, p. 1284-1293 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  31. Published

    On complemented Lie algebras

    Towers, D., 08/1980, In: Journal of the London Mathematical Society. 22, 1, p. 63-65 3 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  32. Published

    Semi-modular subalgebras of a Lie algebra

    Towers, D. A., 1/10/1986, In: Journal of Algebra. 103, 1, p. 202-207 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  33. Published

    On the generators of a nilpotent nonassociative algebra

    Towers, D., 12/1971, In: The Quarterly Journal of Mathematics. 22, 4, p. 545-550 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  34. Published

    Almost nilpotent Lie algebras

    Towers, D., 1987, In: Glasgow Mathematical Journal. 29, 1, p. 7-11 5 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  35. Published

    Zinbiel algebras are Nilpotent

    Towers, D., 1/08/2023, In: Journal of Algebra and Its Applications. 22, 8, 5 p., 2350166.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  36. Published

    Subalgebras that cover or avoid chief factors of Lie algebras

    Towers, D., 2015, In: Proceedings of the American Mathematical Society. 143, 8, p. 3377-3385 9 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  37. Published

    Nonassociative structures arising in genetics

    Towers, D., 1986, In: Mathematical Gazette. 70, p. 281-286 6 p.

    Research output: Contribution to Journal/MagazineJournal article

  38. Published

    Chief factors of Lie Algebras

    Towers, D. A., 7/01/2016, In: Journal of Generalized Lie Theory and Applications. S2, 3 p.

    Research output: Contribution to Journal/MagazineEditorialpeer-review

  39. Published

    Elementary Lie algebras

    Towers, D., 11/1973, In: Journal of the London Mathematical Society. 7, 2, p. 295-302 8 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  40. Published

    On n-maximal subalgebras of Lie algebras

    Towers, D., 01/2016, In: Proceedings of the American Mathematical Society. 144, 4, p. 1457-1466 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  41. Published

    Lattice isomorphisms of Lie algebras (addendum)

    Towers, D., 1/05/1984, In: Mathematical Proceedings of the Cambridge Philosophical Society. 95, 3, p. 511-512 2 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  42. Published

    A flexible first year undergraduate mathematics curriculum

    Towers, D. & Turner, P., 1989, In: International Journal of Mathematical Education in Science and Technology. 20, 3, p. 469-473 5 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  43. Published

    On the lengths of certain chains of subalgebras in Lie algebras

    Towers, D., 2014, In: Communications in Algebra. 42, 11, p. 4778-4789 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  44. Unpublished

    Functional Investigation of Trypanosoma brucei Microtubule Associated Proteins and Their Role in Cellular Morphogenesis.

    Towers, K., 2010, (Unpublished) Lancaster: Lancaster University. 338 p.

    Research output: ThesisDoctoral Thesis

  45. Published

    Lie algebras whose maximal subalgebras are modular*

    Towers, D., 1995, In: Algebras, Groups and Geometries. 12, p. 89-98 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  46. Published

    Lie algebras with nilpotent length greater than that of each of their subalgebras

    Towers, D. A., 06/2017, In: Algebras and Representation Theory. 20, 3, p. 735-750 16 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  47. Unpublished

    Economic Inequality and Intimate Partner Violence against Women : An Analysis of the British Crime Survey 2008/09.

    Towers, J., 2013, (Unpublished) Lancaster: Lancaster University. 393 p.

    Research output: ThesisDoctoral Thesis

  48. Published

    Leibniz A-algebras

    Towers, D., 11/10/2020, In: Communications in Mathematics. 28, 2, p. 103-121 19 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  49. Published

    Experiment and Intuition in Pure Mathematics

    Towers, D., Austin, K., Bibby, N., Dwan, M., Houghton, C., Keating, M., Quadling, D. & Whitehead, C., 1985, In: Proceedings of the Undergraduate Mathematics Teaching Conference.

    Research output: Contribution to Journal/MagazineJournal article

  50. Published

    Making the links between economic inequality and intimate partner violence

    Towers, J., 1/05/2015, In: Safe - The Domestic Abuse Quarterly. 53, p. 22-25 4 p.

    Research output: Contribution to Journal/MagazineJournal article

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