Items where Author is "Towers, David"

Journal Article

Towers, David (2025) Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras. Communications in Algebra, 53 (3). pp. 917-928. ISSN 0092-7872

Towers, David (2025) Leibniz algebras in which all centralisers of nonzero elements are zero algebras. Communications in Algebra, 53 (2). pp. 681-686. ISSN 0092-7872

Ouaridi, Amir and Towers, David (2025) Leibniz algebras with an abelian subalgebra of codimension two. Communications in Algebra. ISSN 0092-7872

Ouaridi, Amir and Navarro, Rosa and Towers, David (2024) Abelian subalgebras and ideals of maximal dimension in Poisson algebras. Journal of Algebra, 660. pp. 680-704. ISSN 0021-8693

Towers, David (2024) Almost reductive and almost algebraic Leibniz algebras. International Electronic Journal of Algebra, 36 (36): 7. pp. 89-100.

Paez-Guillan, Pilar and Siciliano, Salvatore and Towers, David (2024) Modularity conditions in Leibniz algebras. Journal of Algebra and Its Applications: 2550191. ISSN 0219-4988

Towers, David and ÇİLOĞLU ŞAHİN, Zekiye (2023) Weak c-ideals of Leibniz algebras. Communications in Algebra, 51 (11). pp. 4676-4685. ISSN 0092-7872

Towers, David (2023) Zinbiel algebras are Nilpotent. Journal of Algebra and Its Applications, 22 (8): 2350166. ISSN 0219-4988

Paez-Guillan, Pilar and Siciliano, Salvatore and Towers, David (2023) On the subalgebra lattice of a restricted Lie algebra. Linear Algebra and its Applications, 660. pp. 47-65. ISSN 0024-3795

Ceballos, Manuel and Towers, David (2023) Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras. Communications in Algebra, 51 (4). pp. 1323-1333. ISSN 0092-7872

Ceballos, Manuel and Towers, David (2023) Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras. Mediterranean Journal of Mathematics, 20 (2): 97. ISSN 1660-5446

Towers, David (2022) Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent Lie algebras. Linear and Multilinear Algebra, 70 (13). pp. 2551-2568. ISSN 0308-1087

Siciliano, Salvatore and Towers, David (2022) On the subalgebra lattice of a Leibniz algebra. Communications in Algebra, 50 (1). pp. 255-267. ISSN 0092-7872

Towers, David and Saha, Ripan (2021) On certain classes of algebras in which centralizers are ideals. Journal of Lie Theory, 31 (4). pp. 991-1002. ISSN 0949-5932

Towers, David (2021) The nilradical of a Leibniz algebra. Communications in Algebra, 49 (10). pp. 4345-4347. ISSN 0092-7872

Towers, David and Ciloglu, Zekiye (2021) Weak c-ideals of a Lie algebra. Turkish Journal of Mathematics, 45 (5). pp. 1940-1948. ISSN 1300-0098

Towers, David (2021) Lattice isomorphisms of Leibniz algebras. Journal of Algebra, 578. pp. 421-432. ISSN 0021-8693

Gutierrez, Ismael and Torresblanca-Badillo, Anselmo and Towers, David (2021) Classes of algebras and closure operations. Communications in Algebra, 49 (6). pp. 2563-2577. ISSN 0092-7872

Towers, David (2020) Leibniz A-algebras. Communications in Mathematics, 28 (2). pp. 103-121. ISSN 2336-1298

Towers, David (2020) Quasi-ideals of Leibniz algebras. Communications in Algebra, 48 (11). pp. 4569-4579. ISSN 0092-7872

Towers, David (2016) Maximal subalgebras and chief factors of Lie algebras. Journal of Pure and Applied Algebra, 220 (1). pp. 482-493. ISSN 0022-4049

Towers, David (2016) On n-maximal subalgebras of Lie algebras. Proceedings of the American Mathematical Society, 144 (4). pp. 1457-1466. ISSN 0002-9939

Towers, David (2015) C-sections of Lie algebras. Journal of Algebra, 427. pp. 76-84. ISSN 0021-8693

Towers, David (2015) On minimal non-elementary Lie algebras. Proceedings of the American Mathematical Society, 143 (1). pp. 117-120. ISSN 1088-6826

Towers, David (2015) Subalgebras that cover or avoid chief factors of Lie algebras. Proceedings of the American Mathematical Society, 143 (8). pp. 3377-3385. ISSN 0002-9939

Towers, David (2014) On certain decompositions of solvable Lie algebras. Journal of Lie Theory, 24 (4). pp. 969-978.

Ceballos, Manuel and Towers, David (2014) On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras. Journal of Pure and Applied Algebra, 218 (3). pp. 497-503. ISSN 0022-4049

Towers, David (2014) On conjugacy of maximal subalgebras of solvable Lie algebras. Communications in Algebra, 42 (3). pp. 1350-1353. ISSN 0092-7872

Towers, David (2014) On the lengths of certain chains of subalgebras in Lie algebras. Communications in Algebra, 42 (11). pp. 4778-4789. ISSN 0092-7872

Towers, David and Bowman, Kevin (1997) Higher-order Bernstein algebras given by symmetric bilinear forms. Linear Algebra and its Applications, 252 (1-3). pp. 71-79. ISSN 0024-3795

Lincoln, Mark and Towers, David (1997) The Frattini p-subalgebra of a solvable Lie p-algebra. Proceedings of the Edinburgh Mathematical Society, 40 (1). pp. 31-40. ISSN 0013-0915

Towers, David (1997) On modular* subalgebras of a Lie algebra. Journal of Algebra, 190 (2). pp. 461-473. ISSN 0021-8693

Towers, David (1996) On power-associative Bernstein algebras of arbitrary order. Algebras, Groups and Geometries, 13. pp. 295-322.

Towers, David (1995) Lie algebras whose maximal subalgebras are modular*. Algebras, Groups and Geometries, 12. pp. 89-98.

Towers, David and Bowman, Kevin (1989) Modularity conditions in Lie algebras. Hiroshima Mathematical Journal, 19 (2). pp. 333-346.

Towers, David and Turner, Peter (1989) A flexible first year undergraduate mathematics curriculum. International Journal of Mathematical Education in Science and Technology, 20 (3). pp. 469-473. ISSN 1464-5211

Towers, David (1987) Almost nilpotent Lie algebras. Glasgow Mathematical Journal, 29 (1). pp. 7-11. ISSN 0017-0895

Towers, David (1986) Lattice automorphisms of Lie algebras. Archiv der Mathematik, 46. pp. 39-43. ISSN 0003-889X

Towers, David (1986) Nonassociative structures arising in genetics. Mathematical Gazette, 70. pp. 281-286.

Austin, Keith and Davies, C. and Houston, Ken and Oates, P. and Surgey, P. and Thomlinson, M. and Towers, David (1986) What balance of learning activities do mathematics students need? Proceedings of the Undergraduate Mathematics Teaching Conference.

Towers, David and Austin, Keith and Bibby, Neil and Dwan, Mike and Houghton, C. and Keating, M. and Quadling, Douglas and Whitehead, Carol (1985) Experiment and Intuition in Pure Mathematics. Proceedings of the Undergraduate Mathematics Teaching Conference.

Towers, David and Lincoln, Mark (1985) Frattini theory for restricted Lie algebras. Archiv der Mathematik, 45. pp. 451-457. ISSN 0003-889X

Towers, David (1985) Minimal non-supersolvable Lie algebras. Algebras, Groups and Geometries, 2. pp. 1-9.

Towers, David (1985) On ideally finite Lie algebras which are lower semi-modular. Proceedings of the Edinburgh Mathematical Society, 28. pp. 9-11. ISSN 0013-0915

Towers, David (1985) Problems faced by mathematics students at the school/higher education interface. Mathematical Gazette, 69. pp. 180-187.

Towers, David (1984) Lattice isomorphisms of Lie algebras (addendum). Mathematical Proceedings of the Cambridge Philosophical Society, 95 (3). pp. 511-512. ISSN 0305-0041

Towers, David (1984) Frattini embeddings of ideals in modular Lie algebras. Archiv der Mathematik, 43. pp. 121-123. ISSN 0003-889X

Baylis, John and Forrest, Neil and Haggarty, Ron and Hebborn, John and Petrov, V. and Ranzetta, R. and Towers, David (1984) Perennial difficulties in mathematics. Proceedings of the Undergraduate Mathematics Teaching Conference. pp. 73-86.

Towers, David (1981) On Lie algebras in which modular pairs of subalgebras are permutable. Journal of Algebra, 68 (2). pp. 369-377. ISSN 0021-8693

Towers, David (1981) Lattice isomorphisms of Lie algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 89. pp. 285-292. ISSN 0305-0041

Towers, David (1981) Lie algebras all of whose maximal subalgebras have codimension one. Proceedings of the Edinburgh Mathematical Society, 24. pp. 217-219. ISSN 0013-0915

Towers, David (1980) Two ideals of an algebra closely related to its Frattini ideal. Archiv der Mathematik, 35 (1). pp. 112-120. ISSN 0003-889X

Towers, David (1980) On complemented Lie algebras. Journal of the London Mathematical Society, 22 (1). pp. 63-65. ISSN 0024-6107

Towers, David (1980) Dimension preserving lattice isomorphisms of Lie algebras. Communications in Algebra, 8 (14). pp. 1371-1386. ISSN 0092-7872

Towers, David (1980) Lie algebras all of whose proper subalgebras are nilpotent. Linear Algebra and its Applications, 32. pp. 61-73. ISSN 0024-3795

Towers, David (1979) Dualisms of Lie algebras. Journal of Algebra, 59 (2). pp. 490-495. ISSN 0021-8693

Towers, David and Stewart, Ian (1975) The Frattini subalgebras of certain infinite-dimensional Lie algebras. Journal of the London Mathematical Society, 11 (2). pp. 207-215. ISSN 0024-6107

Towers, David (1973) Elementary Lie algebras. Journal of the London Mathematical Society, 7 (2). pp. 295-302. ISSN 0024-6107

Towers, David (1973) A Frattini theory for algebras. Proceedings of the London Mathematical Society, 27 (3). pp. 440-462. ISSN 1460-244X

Towers, David (1971) On the generators of a nilpotent nonassociative algebra. The Quarterly Journal of Mathematics, 22 (4). pp. 545-550. ISSN 0033-5606

Contribution to Conference

Towers, David (1986) The role of mathematics education courses in undergraduate mathematics teaching. In: International Congress of Mathematicians, 2018-02-19.

Book/Report/Proceedings

Towers, David (2020) Editorial : Workshop on Nonassociative algebras and their applications. Glasgow Mathematical Journal.

Towers, David (1987) A Guide to Linear Algebra. Palgrave Guides . Palgrave Macmillan. ISBN 033343627X

Thesis

Johnson, Heather and Levy, Paul and Towers, David (2015) Irreducible components of the restricted nilpotent commuting variety of G2, F4 and E6 in good characteristic. PhD thesis, Lancaster University.