Towers, David A. Leibniz algebras in which all centralisers of nonzero elements are zero algebras. arXiv:2402.17331 Preprint, arXiv:2402.17331 [math.RA] (2024). MSC: 17A32 17B05 17B20 17B30 17B50 BibTeX Cite \textit{D. A. Towers}, ``Leibniz algebras in which all centralisers of nonzero elements are zero algebras'', Preprint, arXiv:2402.17331 [math.RA] (2024) Full Text: arXiv OA License
Towers, David A. Zinbiel algebras are nilpotent. (English) Zbl 07709975 J. Algebra Appl. 22, No. 8, Article ID 2350166, 4 p. (2023). MSC: 17A32 17B05 17B20 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, J. Algebra Appl. 22, No. 8, Article ID 2350166, 4 p. (2023; Zbl 07709975) Full Text: DOI arXiv
Páez-Guillán, Pilar; Siciliano, Salvatore; Towers, David A. On the subalgebra lattice of a restricted Lie algebra. (English) Zbl 07637923 Linear Algebra Appl. 660, 47-65 (2023). Reviewer: Victor Petrogradsky (Brasília) MSC: 17B50 17B05 17B30 17B60 06D05 PDFBibTeX XMLCite \textit{P. Páez-Guillán} et al., Linear Algebra Appl. 660, 47--65 (2023; Zbl 07637923) Full Text: DOI arXiv
Towers, David A. Almost-reductive and almost-algebraic Leibniz algebras. arXiv:2309.03680 Preprint, arXiv:2309.03680 [math.RA] (2023). MSC: 17B05 17B20 17B30 17B50 BibTeX Cite \textit{D. A. Towers}, ``Almost-reductive and almost-algebraic Leibniz algebras'', Preprint, arXiv:2309.03680 [math.RA] (2023) Full Text: arXiv OA License
Páez-Guillán, Pilar; Siciliano, Salvatore; Towers, David A. Modularity conditions in Leibniz algebras. arXiv:2305.15530 Preprint, arXiv:2305.15530 [math.RA] (2023). MSC: 17A32 17B05 17B30 06C05 BibTeX Cite \textit{P. Páez-Guillán} et al., ``Modularity conditions in Leibniz algebras'', Preprint, arXiv:2305.15530 [math.RA] (2023) Full Text: arXiv OA License
Towers, David A. Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent Lie algebras. (English) Zbl 1503.17020 Linear Multilinear Algebra 70, No. 13, 2551-2568 (2022). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B30 17B05 17B20 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Linear Multilinear Algebra 70, No. 13, 2551--2568 (2022; Zbl 1503.17020) Full Text: DOI
Siciliano, Salvatore; Towers, David A. On the subalgebra lattice of a Leibniz algebra. (English) Zbl 1486.17004 Commun. Algebra 50, No. 1, 255-267 (2022). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17A32 17B05 17B30 17B60 PDFBibTeX XMLCite \textit{S. Siciliano} and \textit{D. A. Towers}, Commun. Algebra 50, No. 1, 255--267 (2022; Zbl 1486.17004) Full Text: DOI arXiv
Towers, David A. Lattice isomorphisms of Leibniz algebras. (English) Zbl 1481.17004 J. Algebra 578, 421-432 (2021). Reviewer: Alexandre P. Pojidaev (Novosibirsk) MSC: 17A32 17B05 17B20 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, J. Algebra 578, 421--432 (2021; Zbl 1481.17004) Full Text: DOI arXiv
Towers, David A. Leibniz \(A\)-algebras. (English) Zbl 1479.17007 Commun. Math. 28, No. 2, 103-121 (2020). Reviewer: Hesam Safa (Bojnord) MSC: 17A32 17B05 17B20 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Commun. Math. 28, No. 2, 103--121 (2020; Zbl 1479.17007) Full Text: DOI arXiv
Towers, David A. Lie algebras with nilpotent length greater than that of each of their subalgebras. (English) Zbl 1425.17015 Algebr. Represent. Theory 20, No. 3, 735-750 (2017). MSC: 17B30 17B05 17B20 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Algebr. Represent. Theory 20, No. 3, 735--750 (2017; Zbl 1425.17015) Full Text: DOI arXiv
Towers, David A. On \(n\)-maximal subalgebras of Lie algebras. (English) Zbl 1397.17007 Proc. Am. Math. Soc. 144, No. 4, 1457-1466 (2016). MSC: 17B05 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Proc. Am. Math. Soc. 144, No. 4, 1457--1466 (2016; Zbl 1397.17007) Full Text: DOI arXiv
Towers, David A. \(c\)-sections of Lie algebras. (English) Zbl 1345.17007 J. Algebra 427, 76-84 (2015). MSC: 17B05 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, J. Algebra 427, 76--84 (2015; Zbl 1345.17007) Full Text: DOI arXiv
Towers, David A. On certain decompositions of solvable Lie algebras. (English) Zbl 1356.17005 J. Lie Theory 24, No. 4, 969-978 (2014). MSC: 17B05 17B20 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, J. Lie Theory 24, No. 4, 969--978 (2014; Zbl 1356.17005) Full Text: arXiv Link
Towers, David A. On the lengths of certain chains of subalgebras in Lie algebras. (English) Zbl 1314.17008 Commun. Algebra 42, No. 11, 4778-4789 (2014). MSC: 17B05 17B20 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Commun. Algebra 42, No. 11, 4778--4789 (2014; Zbl 1314.17008) Full Text: DOI arXiv
Towers, David A. On conjugacy of maximal subalgebras of solvable Lie algebras. (English) Zbl 1332.17007 Commun. Algebra 42, No. 3, 1350-1353 (2014). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B05 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Commun. Algebra 42, No. 3, 1350--1353 (2014; Zbl 1332.17007) Full Text: DOI arXiv Link
Towers, David A. Complements of intervals and prefrattini subalgebras of solvable Lie algebras. (English) Zbl 1294.17010 Proc. Am. Math. Soc. 141, No. 6, 1893-1901 (2013). Reviewer: Salvatore Siciliano (Lecce) MSC: 17B30 17B05 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Proc. Am. Math. Soc. 141, No. 6, 1893--1901 (2013; Zbl 1294.17010) Full Text: DOI arXiv
Towers, David A. Solvable complemented Lie algebras. (English) Zbl 1317.17010 Proc. Am. Math. Soc. 140, No. 11, 3823-3830 (2012). MSC: 17B05 17B30 17B10 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Proc. Am. Math. Soc. 140, No. 11, 3823--3830 (2012; Zbl 1317.17010) Full Text: DOI arXiv
Towers, David A. Solvable Lie \(A\)-algebras. (English) Zbl 1260.17010 J. Algebra 340, No. 1, 1-12 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 17B30 17B05 17B20 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, J. Algebra 340, No. 1, 1--12 (2011; Zbl 1260.17010) Full Text: DOI arXiv
Towers, David A. \(c\)-ideals of Lie algebras. (English) Zbl 1239.17006 Commun. Algebra 37, No. 12, 4366-4373 (2009). Reviewer: Hermann Heineken (Würzburg) MSC: 17B30 17B50 17B05 PDFBibTeX XMLCite \textit{D. A. Towers}, Commun. Algebra 37, No. 12, 4366--4373 (2009; Zbl 1239.17006) Full Text: DOI arXiv
Towers, David A. \(C\)-supplemented subalgebras of Lie algebras. (English) Zbl 1178.17006 J. Lie Theory 18, No. 3, 717-724 (2008). MSC: 17B05 17B20 17B30 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, J. Lie Theory 18, No. 3, 717--724 (2008; Zbl 1178.17006) Full Text: arXiv Link
Towers, David A. On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. (English) Zbl 1189.17018 Asian-Eur. J. Math. 1, No. 2, 283-294 (2008). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B50 17B30 PDFBibTeX XMLCite \textit{D. A. Towers}, Asian-Eur. J. Math. 1, No. 2, 283--294 (2008; Zbl 1189.17018) Full Text: DOI arXiv
Bowman, Kevin; Towers, David A.; Varea, Vicente R. On flags and maximal chains of lower modular subalgebras of Lie algebras. (English) Zbl 1161.17009 J. Lie Theory 17, No. 3, 605-616 (2007). MSC: 17B50 17B05 17B30 PDFBibTeX XMLCite \textit{K. Bowman} et al., J. Lie Theory 17, No. 3, 605--616 (2007; Zbl 1161.17009) Full Text: Link
Bowman, Kevin; Towers, David A.; Varea, Vicente R. On Lie algebras all of whose minimal subalgebras are lower modular. (English) Zbl 1074.17002 Commun. Algebra 32, No. 12, 4515-4533 (2004). Reviewer: Gordon Brown (Boulder) MSC: 17B05 PDFBibTeX XMLCite \textit{K. Bowman} et al., Commun. Algebra 32, No. 12, 4515--4533 (2004; Zbl 1074.17002) Full Text: DOI
Lincoln, Mark; Towers, David The Frattini \(p\)-subalgebra of a solvable Lie \(p\)-algebra. (English) Zbl 0874.17023 Proc. Edinb. Math. Soc., II. Ser. 40, No. 1, 31-40 (1997). Reviewer: E.L.Stitzinger (Raleigh) MSC: 17B50 17B30 PDFBibTeX XMLCite \textit{M. Lincoln} and \textit{D. Towers}, Proc. Edinb. Math. Soc., II. Ser. 40, No. 1, 31--40 (1997; Zbl 0874.17023) Full Text: DOI
Towers, D. A. On modular\(^*\) subalgebras of a Lie algebra. (English) Zbl 0874.17003 J. Algebra 190, No. 2, 461-473 (1997). Reviewer: G.Brown (Boulder) MSC: 17B05 PDFBibTeX XMLCite \textit{D. A. Towers}, J. Algebra 190, No. 2, 461--473 (1997; Zbl 0874.17003) Full Text: DOI
Towers, D. A. Lie algebras whose maximal subalgebras are modular. (English) Zbl 0826.17008 Algebras Groups Geom. 12, No. 1, 89-98 (1995). Reviewer: M.Boral (Adana) MSC: 17B05 17B50 PDFBibTeX XMLCite \textit{D. A. Towers}, Algebras Groups Geom. 12, No. 1, 89--98 (1995; Zbl 0826.17008)
Lincoln, Mark; Towers, David Frattini theory for restricted Lie algebras. (English) Zbl 0578.17008 Arch. Math. 45, 451-457 (1985). Reviewer: A. G. Geĭn (Sverdlovsk) MSC: 17B50 17B05 17B30 PDFBibTeX XMLCite \textit{M. Lincoln} and \textit{D. Towers}, Arch. Math. 45, 451--457 (1985; Zbl 0578.17008) Full Text: DOI
Towers, David On ideally finite Lie algebras which are lower semi-modular. (English) Zbl 0575.17008 Proc. Edinb. Math. Soc., II. Ser. 28, 9-11 (1985). Reviewer: A.G.Gejn MSC: 17B65 17B30 PDFBibTeX XMLCite \textit{D. Towers}, Proc. Edinb. Math. Soc., II. Ser. 28, 9--11 (1985; Zbl 0575.17008) Full Text: DOI
Towers, David A. Frattini embeddings of ideals in modular Lie algebras. (English) Zbl 0551.17003 Arch. Math. 43, 121-123 (1984). Reviewer: A.G.Gejn MSC: 17B50 17B05 PDFBibTeX XMLCite \textit{D. A. Towers}, Arch. Math. 43, 121--123 (1984; Zbl 0551.17003) Full Text: DOI