Dr David Towers

Maximal subalgebras and chief factors of Lie algebras
Towers, D. expected in 2016 In: Journal of Pure and Applied Algebra. 220, 1, p. 482-493. 12 p.
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C-sections of Lie algebras
Towers, D. 1/04/2015 In: Journal of Algebra. 427, p. 76-84. 9 p.
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On minimal non-elementary Lie algebras
Towers, D. 2015 In: Proceedings of the American Mathematical Society. 143, 1, p. 117-120. 4 p.
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On n-maximal subalgebras of Lie algebras
Towers, D. 2015 In: Proceedings of the American Mathematical Society. 15 p.
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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.
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On certain decompositions of solvable Lie algebras
Towers, D. 12/2014 In: Journal of Lie Theory. 24, 4, p. 969-978. 10 p.
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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.
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On conjugacy of maximal subalgebras of solvable Lie algebras
Towers, D. 03/2014 In: Communications in Algebra. 42, 3, p. 1350-1353. 4 p.
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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.
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Supplements to maximal subalgebras of Lie algebras
Towers, D.A. 10/2013 In: Communications in Algebra. 41, 10, p. 3848-3857. 10 p.
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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.
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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.
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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.
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Solvable complemented Lie algebras.
Towers, D.A. 1/01/2012 In: Proceedings of the American Mathematical Society. 140, 11, p. 3823-3830. 8 p.
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Solvable Lie A-algebras.
Towers, D.A. 15/08/2011 In: Journal of Algebra. 340, 1, p. 1-12. 12 p.
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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.
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C-Ideals of Lie Algebras.
Towers, D.A. 12/2009 In: Communications in Algebra. 37, 12, p. 4366-4373. 8 p.
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On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic.
Towers, D.A. 06/2008 In: Asian-European Journal of Mathematics. 1, 2, p. 283-294. 12 p.
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C-Supplemented Subalgebras of Lie Algebras.
Towers, D.A. 2008 In: Journal of Lie Theory. 18, 3, p. 717-724. 8 p.
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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.
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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.
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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.
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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.
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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.
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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.
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On modular* subalgebras of a Lie algebra
Towers, D. 1997 In: Journal of Algebra. 190, 2, p. 461-473. 13 p.
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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.
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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.
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On power-associative Bernstein algebras of arbitrary order
Towers, D. 1996 In: Algebras, Groups and Geometries. 13, p. 295-322. 28 p.
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Lie algebras whose maximal subalgebras are modular*
Towers, D. 1995 In: Algebras, Groups and Geometries. 12, p. 89-98. 10 p.
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Modularity conditions in Lie algebras
Towers, D., Bowman, K. 07/1989 In: Hiroshima Mathematical Journal. 19, 2, p. 333-346. 14 p.
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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.
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A Guide to Linear Algebra
Towers, D. 1987 Palgrave Macmillan. 210 p. ISBN: 033343627X.
Book

Almost nilpotent Lie algebras
Towers, D. 1987 In: Glasgow Mathematical Journal. 29, 1, p. 7-11. 5 p.
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The role of mathematics education courses in undergraduate mathematics teaching
Towers, D. 08/1986
Conference paper

Lattice automorphisms of Lie algebras
Towers, D. 1986 In: Archiv der Mathematik. 46, p. 39-43. 5 p.
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Nonassociative structures arising in genetics
Towers, D. 1986 In: Mathematical Gazette. 70, p. 281-286. 6 p.
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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
Article

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.
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Frattini theory for restricted Lie algebras
Towers, D., Lincoln, M. 1985 In: Archiv der Mathematik. 45, p. 451-457. 7 p.
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Minimal non-supersolvable Lie algebras
Towers, D. 1985 In: Algebras, Groups and Geometries. 2, p. 1-9. 9 p.
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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.
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Problems faced by mathematics students at the school/higher education interface
Towers, D. 1985 In: Mathematical Gazette. 69, p. 180-187. 8 p.
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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.
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Frattini embeddings of ideals in modular Lie algebras
Towers, D. 1984 In: Archiv der Mathematik. 43, p. 121-123. 3 p.
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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
Article

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.
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Lattice isomorphisms of Lie algebras
Towers, D. 1981 In: Mathematical Proceedings of the Cambridge Philosophical Society. 89, p. 285-292. 8 p.
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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.
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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.
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On complemented Lie algebras
Towers, D. 08/1980 In: Journal of the London Mathematical Society. 22, 1, p. 63-65. 3 p.
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Dimension preserving lattice isomorphisms of Lie algebras
Towers, D. 1980 In: Communications in Algebra. 8, 14, p. 1371-1386. 16 p.
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Lie algebras all of whose proper subalgebras are nilpotent
Towers, D. 1980 In: Linear Algebra and its Applications. 32, p. 61-73. 13 p.
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Dual Lie algebrasisms of
Towers, D. 08/1979 In: Journal of Algebra. 59, 2, p. 490-495. 6 p.
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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.
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Elementary Lie algebras
Towers, D. 11/1973 In: Journal of the London Mathematical Society. 7, 2, p. 295-302. 8 p.
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A Frattini theory for algebras
Towers, D. 09/1973 In: Proceedings of the London Mathematical Society. 27, 3, p. 440-462. 23 p.
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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.
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