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Dr David Towers

Dr David Towers

Senior Lecturer, Head of Department

Fylde College
Lancaster University
Bailrigg
Lancaster
United Kingdom
LA1 4YF

+44 (0)1524 593944

David Towers's Publications

2014

On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras

Ceballos, M. & Towers, D. 03/2014 In : Journal of Pure and Applied Algebra. 218, 3, p. 497-503 16 p.

Research output: Contribution to journalJournal article

On conjugacy of maximal subalgebras of solvable Lie algebras

Towers, D. 03/2014 In : Communications in Algebra. 42, 3, p. 1350-1353 4 p.

Research output: Contribution to journalJournal article

2013

Supplements to maximal subalgebras of Lie algebras

Towers, D. A. 10/2013 In : Communications in Algebra. 41, 10, p. 3848-3857 10 p.

Research output: Contribution to journalJournal article

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 journalJournal article

Further results on elementary Lie algebras and Lie A-algebras.

Towers, D. A. & Varea, V. R. 2013 In : Communications in Algebra. 41, 4, p. 1432-1441 10 p.

Research output: Contribution to journalJournal article

2012

Maximal subalgebras of Lie algebras containing Engel subalgebras.

Towers, D. A. 03/2012 In : Journal of Pure and Applied Algebra. 216, 3, p. 688-693 6 p.

Research output: Contribution to journalJournal article

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 journalJournal article

2011

Solvable Lie A-algebras.

Towers, D. A. 15/08/2011 In : Journal of Algebra. 340, 1, p. 1-12 12 p.

Research output: Contribution to journalJournal article

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 journalJournal article

2009

C-Ideals of Lie Algebras.

Towers, D. A. 12/2009 In : Communications in Algebra. 37, 12, p. 4366-4373 8 p.

Research output: Contribution to journalJournal article

2008

On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic.

Towers, D. A. 06/2008 In : Asia-European Journal of Mathematics. 1, 2, p. 283-294 12 p.

Research output: Contribution to journalJournal article

C-Supplemented Subalgebras of Lie Algebras.

Towers, D. A. 2008 In : Journal of Lie Theory. 18, 3, p. 717-724 8 p.

Research output: Contribution to journalJournal article

2007

Two Generator Subalgebras Of Lie Algebras.

Bowman, K., Towers, D. A. & Varea, V. R. 09/2007 In : Linear and Multilinear Algebra. 55, 5, p. 429-438 10 p.

Research output: Contribution to journalJournal article

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 journalJournal article

On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras.

Bowman, K., Towers, D. A. & Varea, V. R. 2007 In : Journal of Lie Theory. 17, 3, p. 605-616 12 p.

Research output: Contribution to journalJournal article

2004

On upper modular subalgebras of a Lie algebra.

Bowman, K., Towers, D. A. & Varea, V. R. 1/06/2004 In : Proceedings of the Edinburgh Mathematical Society. 47, 2, p. 325-337 13 p.

Research output: Contribution to journalJournal article

On Lie algebras all of whose minimal subalgebras are lower modular.

Bowman, K., Towers, D. A. & Varea, V. R. 2004 In : Communications in Algebra. 32, 12, p. 4515-4533 19 p.

Research output: Contribution to journalJournal article

1997

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 journalJournal article

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 journalJournal article

The Frattini p-subalgebra of a solvable Lie p-algebra

Lincoln, M. & Towers, D. 1997 In : Proceedings of the Edinburgh Mathematical Society. 40, 1, p. 31-40 10 p.

Research output: Contribution to journalJournal article

1996

On almost nilpotent-by-abelian Lie algebras.

Bowman, K. & Towers, D. A. 1/11/1996 In : Linear Algebra and its Applications. 247, 1, p. 159-167 9 p.

Research output: Contribution to journalJournal article

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 journalJournal article

1995

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 journalJournal article

1989

Modularity conditions in Lie algebras

Towers, D. & Bowman, K. 07/1989 In : Hiroshima Mathematical Journal. 19, 2, p. 333-346 14 p.

Research output: Contribution to journalJournal article

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 journalJournal article

1987

A Guide to Linear Algebra

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

Research output: Book/Report/ProceedingsBook

Almost nilpotent Lie algebras

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

Research output: Contribution to journalJournal article

1986

Lattice automorphisms of Lie algebras

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

Research output: Contribution to journalJournal article

Nonassociative structures arising in genetics

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

Research output: Contribution to journalJournal article

The role of mathematics education courses in undergraduate mathematics teaching

Towers, D. 1986 0 p.

Research output: Contribution to conferenceConference paper

What balance of learning activities do mathematics students need?

Towers, D., Austin, K., Davies, C., Houston, K., Oates, P., Surgey, P. & Thomlinson, M. 1986 Proceedings of the Undergraduate Mathematics Teaching Conference 0 p.

Research output: Contribution to specialist publicationArticle

1985

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 journalJournal article

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 journalJournal article

Minimal non-supersolvable Lie algebras

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

Research output: Contribution to journalJournal article

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 journalJournal article

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 journalJournal article

1984

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 journalJournal article

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 journalJournal article

Perennial difficulties in mathematics

Towers, D., Baylis, J., Forrest, N., Haggarty, R., Hebborn, J., Petrov, V. & Ranzetta, R. 1984 Proceedings of the Undergraduate Mathematics Teaching Conference 0 p.

Research output: Contribution to specialist publicationArticle

1981

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 journalJournal article

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 journalJournal article

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 journalJournal article

1980

Two ideals of an algebra closely related to its Frattini ideal

Towers, D. 12/1980 In : Archiv der Mathematik. 35, 1, p. 112-120 9 p.

Research output: Contribution to journalJournal article

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 journalJournal article

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 journalJournal article

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 journalJournal article

1979

Dual Lie algebrasisms of

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

Research output: Contribution to journalJournal article

1975

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 journalJournal article

1973

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 journalJournal article

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 journalJournal article

1971

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 journalJournal article

David Towers's Activities

2012

Review of project proposal

Dr David Towers (Member), 09/2012 → …

Activity: External academic engagementMembership of peer review panel or committee

Member of thesis committee

Dr David Towers (Member), 03/2012

Activity: External academic engagementMembership of peer review panel or committee

2011

External Examiner

Dr David Towers (Examiner), 20112014

Activity: External academic engagementResearch and Teaching at External Organisation

External subject expert for Quality Review of Mathematics Degrees

Dr David Towers (Reviewer), 2011

Activity: External academic engagementMembership of peer review panel or committee

Member of the peer-review panel of experts.

Dr David Towers (Member), 2011 → …

Activity: External academic engagementMembership of peer review panel or committee

Programme Approval Assessor

Dr David Towers (Member), 2011 → …

Activity: External academic engagementMembership of peer review panel or committee

2010

Peer-review of research proposal.

Dr David Towers (Reviewer), 2010

Activity: External academic engagementMembership of peer review panel or committee

1986

Palgrave Guides

Dr David Towers (Editor), 1986 → …

Activity: Editorial work or peer review of publicationsEditorial activity

Proceedings of the Undergraduate Mathematics Teaching Conference

Dr David Towers (Editor), 19861990

Activity: Editorial work or peer review of publicationsEditorial activity

1974

Associate Lecturer and New Course Reader

Dr David Towers (Member), 1974 → …

Activity: External academic engagementResearch and Teaching at External Organisation

Current Students

Research students currently supervised by David Towers include: