KianMehr, Mehri; Saeedi, Farshid Frattinian nilpotent Lie algebras. (English) Zbl 07813013 Commun. Algebra 52, No. 3, 1290-1296 (2024). MSC: 17B30 17B99 PDFBibTeX XMLCite \textit{M. KianMehr} and \textit{F. Saeedi}, Commun. Algebra 52, No. 3, 1290--1296 (2024; Zbl 07813013) Full Text: DOI arXiv
Khrypchenko, Mykola; Siciliano, Salvatore Identities and derived lengths of finitary incidence algebras and their group of units. (English) Zbl 07808432 Commun. Algebra 52, No. 2, 916-922 (2024). Reviewer: Lucio Centrone (Bari) MSC: 16S50 16R10 17B60 PDFBibTeX XMLCite \textit{M. Khrypchenko} and \textit{S. Siciliano}, Commun. Algebra 52, No. 2, 916--922 (2024; Zbl 07808432) Full Text: DOI arXiv
Deré, Jonas; Witdouck, Thomas Classification of \(K\)-forms in nilpotent Lie algebras associated to graphs. (English) Zbl 07760729 Commun. Algebra 51, No. 12, 5209-5234 (2023). MSC: 17B40 22E25 11S25 PDFBibTeX XMLCite \textit{J. Deré} and \textit{T. Witdouck}, Commun. Algebra 51, No. 12, 5209--5234 (2023; Zbl 07760729) Full Text: DOI arXiv
Tang, Jing; Tang, Xiaomin Biderivations of a Lie algebra of Block type and applications. (English) Zbl 07719920 Commun. Algebra 51, No. 10, 4409-4417 (2023). MSC: 17B40 17B30 17B10 PDFBibTeX XMLCite \textit{J. Tang} and \textit{X. Tang}, Commun. Algebra 51, No. 10, 4409--4417 (2023; Zbl 07719920) Full Text: DOI
DeCoste, Rachelle; DeMeyer, Lisa; Mainkar, Meera; Ray, Allie Abelian factors in 2-step nilpotent Lie algebras constructed from graphs. (English) Zbl 07673996 Commun. Algebra 51, No. 5, 2155-2175 (2023). MSC: 17B30 05C15 05C99 PDFBibTeX XMLCite \textit{R. DeCoste} et al., Commun. Algebra 51, No. 5, 2155--2175 (2023; Zbl 07673996) Full Text: DOI arXiv
Vu, Le Anh; Nguyen, Tuan A.; Nguyen, Tu T. C.; Nguyen, Tuyen T. M.; Vo, Thieu N. Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals. (English) Zbl 1519.17017 Commun. Algebra 51, No. 5, 1866-1885 (2023). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B30 15A21 PDFBibTeX XMLCite \textit{L. A. Vu} et al., Commun. Algebra 51, No. 5, 1866--1885 (2023; Zbl 1519.17017) Full Text: DOI arXiv
Wang, Peng; Tang, Xiaomin 2-local derivations on Schrödinger algebra in \((2 + 1)\)-dimensional space-time. (English) Zbl 07658077 Commun. Algebra 51, No. 2, 676-687 (2023). Reviewer: García Rosendo (Guanajuato) MSC: 17B30 17B40 PDFBibTeX XMLCite \textit{P. Wang} and \textit{X. Tang}, Commun. Algebra 51, No. 2, 676--687 (2023; Zbl 07658077) Full Text: DOI
Nehra, Niranjan; Rani, Shushma Image of Lie polynomial of degree 2 evaluated on nilpotent Lie algebra. (English) Zbl 1510.17009 Commun. Algebra 51, No. 1, 46-62 (2023). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 17A60 17B05 17B30 PDFBibTeX XMLCite \textit{N. Nehra} and \textit{S. Rani}, Commun. Algebra 51, No. 1, 46--62 (2023; Zbl 1510.17009) Full Text: DOI arXiv
Gholami, Nahid; Saeedi, Farshid New bounds on the dimension of the Schur multiplier of \(n\)-Lie algebras. (English) Zbl 1516.17005 Commun. Algebra 51, No. 1, 1-19 (2023). MSC: 17A42 17B30 17B60 PDFBibTeX XMLCite \textit{N. Gholami} and \textit{F. Saeedi}, Commun. Algebra 51, No. 1, 1--19 (2023; Zbl 1516.17005) Full Text: DOI
Kudaybergenov, Karimbergen; Omirov, Bakhrom; Kurbanbaev, Tuuelbay Local derivations on solvable Lie algebras of maximal rank. (English) Zbl 1512.17017 Commun. Algebra 50, No. 9, 3816-3826 (2022). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B30 17B40 PDFBibTeX XMLCite \textit{K. Kudaybergenov} et al., Commun. Algebra 50, No. 9, 3816--3826 (2022; Zbl 1512.17017) Full Text: DOI
Le, Vu Anh; Cao, Hai T. T.; Duong, Hoa Q.; Nguyen, Tuan A.; Vo, Thieu N. On the problem of classifying solvable Lie algebras having small codimensional derived algebras. (English) Zbl 1518.17018 Commun. Algebra 50, No. 9, 3775-3793 (2022). Reviewer: Jonas Deré (Leuven) MSC: 17B30 16G60 20G05 PDFBibTeX XMLCite \textit{V. A. Le} et al., Commun. Algebra 50, No. 9, 3775--3793 (2022; Zbl 1518.17018) Full Text: DOI arXiv
Aissa, T. Ait; Mansouri, M. W. Symplectic Novikov Lie algebras. (English) Zbl 1494.53086 Commun. Algebra 50, No. 7, 2921-2933 (2022). MSC: 53D05 17B60 17B30 PDFBibTeX XMLCite \textit{T. A. Aissa} and \textit{M. W. Mansouri}, Commun. Algebra 50, No. 7, 2921--2933 (2022; Zbl 1494.53086) Full Text: DOI arXiv
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
Kofinas, C. E. IA-automorphisms of relatively free nilpotent torsion-free groups and Lie algebras. (English) Zbl 1484.20059 Commun. Algebra 48, No. 12, 5224-5235 (2020). MSC: 20F18 20F28 17B01 17B30 17B40 20E10 PDFBibTeX XMLCite \textit{C. E. Kofinas}, Commun. Algebra 48, No. 12, 5224--5235 (2020; Zbl 1484.20059) Full Text: DOI
Muratova, Kh. A.; Ladra, M.; Omirov, B. A.; Sattarov, A. M. Solvable Leibniz algebras with quasi-filiform Lie algebras of maximum length nilradicals. (English) Zbl 1475.17005 Commun. Algebra 48, No. 8, 3525-3542 (2020). Reviewer: Hesam Safa (Bojnord) MSC: 17A32 17A36 17B30 17B56 PDFBibTeX XMLCite \textit{Kh. A. Muratova} et al., Commun. Algebra 48, No. 8, 3525--3542 (2020; Zbl 1475.17005) Full Text: DOI arXiv
Ochoa Arango, Jesús Alonso; Rojas, Nadina The Lie algebra of derivations of a current Lie algebra. (English) Zbl 1444.17003 Commun. Algebra 48, No. 2, 625-637 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B10 17B30 17B40 17B45 PDFBibTeX XMLCite \textit{J. A. Ochoa Arango} and \textit{N. Rojas}, Commun. Algebra 48, No. 2, 625--637 (2020; Zbl 1444.17003) Full Text: DOI arXiv
Abdurasulov, Kobiljon K.; Adashev, Jobir Q.; Casas, José M.; Omirov, Bakhrom A. Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length. (English) Zbl 1471.17008 Commun. Algebra 47, No. 4, 1578-1594 (2019). MSC: 17A32 17A36 17B30 17B56 PDFBibTeX XMLCite \textit{K. K. Abdurasulov} et al., Commun. Algebra 47, No. 4, 1578--1594 (2019; Zbl 1471.17008) Full Text: DOI arXiv
Aslizadeh, Arezoo; Salemkar, Ali Reza; Riyahi, Zahra Polynilpotent capability of Lie algebras. (English) Zbl 1448.17007 Commun. Algebra 47, No. 4, 1390-1400 (2019). MSC: 17B05 17B30 17B99 PDFBibTeX XMLCite \textit{A. Aslizadeh} et al., Commun. Algebra 47, No. 4, 1390--1400 (2019; Zbl 1448.17007) Full Text: DOI
Rai, Pradeep K. On the dimension of the Schur multiplier of nilpotent Lie algebras. (English) Zbl 1455.17011 Commun. Algebra 47, No. 10, 3982-3986 (2019). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B30 17B56 PDFBibTeX XMLCite \textit{P. K. Rai}, Commun. Algebra 47, No. 10, 3982--3986 (2019; Zbl 1455.17011) Full Text: DOI arXiv
Lampret, Leon; Vavpetič, Aleš Torsion table for the Lie algebra \(\mathfrak{nil}_n\). (English) Zbl 1446.17032 Commun. Algebra 47, No. 9, 3567-3578 (2019). MSC: 17B56 17B30 05E16 13P20 13D02 18G35 58E05 PDFBibTeX XMLCite \textit{L. Lampret} and \textit{A. Vavpetič}, Commun. Algebra 47, No. 9, 3567--3578 (2019; Zbl 1446.17032) Full Text: DOI arXiv
Shafiei, Farideh Five-vertex common divisor character degree graphs of non-solvable groups. (English) Zbl 1483.20016 Commun. Algebra 47, No. 3, 1005-1022 (2019). Reviewer: Carolina Vallejo Rodríguez (Madrid) MSC: 20C15 20D60 20C33 05C25 PDFBibTeX XMLCite \textit{F. Shafiei}, Commun. Algebra 47, No. 3, 1005--1022 (2019; Zbl 1483.20016) Full Text: DOI
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando Free 2-step nilpotent Lie algebras and indecomposable representations. (English) Zbl 1483.17010 Commun. Algebra 46, No. 7, 2990-3005 (2018). MSC: 17B30 17B10 PDFBibTeX XMLCite \textit{L. Cagliero} et al., Commun. Algebra 46, No. 7, 2990--3005 (2018; Zbl 1483.17010) Full Text: DOI arXiv
Mousavi, Azam K.; Moghaddam, Mohammad Reza R. Isoclinism between pairs of \(n\)-Lie algebras and their properties. (English) Zbl 1443.17001 Commun. Algebra 46, No. 6, 2356-2367 (2018). MSC: 17A42 17B30 17B40 PDFBibTeX XMLCite \textit{A. K. Mousavi} and \textit{M. R. R. Moghaddam}, Commun. Algebra 46, No. 6, 2356--2367 (2018; Zbl 1443.17001) Full Text: DOI
Sharma, R. K.; Siwach, Reetu; Sahai, Meena Group algebras of Lie nilpotency index 12 and 13. (English) Zbl 1440.16029 Commun. Algebra 46, No. 4, 1428-1446 (2018). MSC: 16S34 17B30 PDFBibTeX XMLCite \textit{R. K. Sharma} et al., Commun. Algebra 46, No. 4, 1428--1446 (2018; Zbl 1440.16029) Full Text: DOI
Adashev, J. Q.; Ladra, M.; Omirov, B. A. Solvable Leibniz algebras with naturally graded non-Lie \(p\)-filiform nilradicals. (English) Zbl 1427.17005 Commun. Algebra 45, No. 10, 4329-4347 (2017). MSC: 17A32 17A36 17B30 17B56 PDFBibTeX XMLCite \textit{J. Q. Adashev} et al., Commun. Algebra 45, No. 10, 4329--4347 (2017; Zbl 1427.17005) Full Text: DOI arXiv
Goudarzi, Leila On the theta completions for maximal subalgebras. (English) Zbl 1427.17008 Commun. Algebra 45, No. 9, 4093-4098 (2017). MSC: 17B05 17B30 PDFBibTeX XMLCite \textit{L. Goudarzi}, Commun. Algebra 45, No. 9, 4093--4098 (2017; Zbl 1427.17008) Full Text: DOI
Chehrazi, Sara On CAP\(^*\)-subalgebras of Lie algebras. (English) Zbl 1380.17005 Commun. Algebra 44, No. 12, 5478-5485 (2016). MSC: 17B05 17B30 17B50 PDFBibTeX XMLCite \textit{S. Chehrazi}, Commun. Algebra 44, No. 12, 5478--5485 (2016; Zbl 1380.17005) Full Text: DOI
Shabanskaya, A. Solvable indecomposable extensions of two nilpotent Lie algebras. (English) Zbl 1402.17020 Commun. Algebra 44, No. 8, 3626-3667 (2016). MSC: 17B30 17B40 17B05 PDFBibTeX XMLCite \textit{A. Shabanskaya}, Commun. Algebra 44, No. 8, 3626--3667 (2016; Zbl 1402.17020) Full Text: DOI
Benayadi, Saïd; Hidri, Samiha Leibniz algebras with invariant bilinear forms and related Lie algebras. (English) Zbl 1395.17003 Commun. Algebra 44, No. 8, 3538-3556 (2016). MSC: 17A32 17B30 17B40 17A60 PDFBibTeX XMLCite \textit{S. Benayadi} and \textit{S. Hidri}, Commun. Algebra 44, No. 8, 3538--3556 (2016; Zbl 1395.17003) Full Text: DOI
Camacho, L. M.; Gómez-Vidal, S.; Omirov, B. A. Leibniz algebras associated to extensions of \(sl_{2}\). (English) Zbl 1381.17002 Commun. Algebra 43, No. 10, 4403-4414 (2015). MSC: 17A32 17A60 17B30 17B60 PDFBibTeX XMLCite \textit{L. M. Camacho} et al., Commun. Algebra 43, No. 10, 4403--4414 (2015; Zbl 1381.17002) Full Text: DOI
Chen, Zhengxin; Wang, Bing Commuting derivations and automorphisms of certain nilpotent Lie algebras over commutative rings. (English) Zbl 1362.17018 Commun. Algebra 43, No. 5, 2044-2061 (2015). Reviewer: Matej Brešar (Maribor) MSC: 17B30 17B40 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{B. Wang}, Commun. Algebra 43, No. 5, 2044--2061 (2015; Zbl 1362.17018) Full Text: DOI
Poroshenko, E. N. On universal equivalence of partially commutative metabelian Lie algebras. (English) Zbl 1318.17008 Commun. Algebra 43, No. 2, 746-762 (2015). MSC: 17B30 17B60 03C60 PDFBibTeX XMLCite \textit{E. N. Poroshenko}, Commun. Algebra 43, No. 2, 746--762 (2015; Zbl 1318.17008) Full Text: DOI arXiv
Hennig, Johanna A generalization of Lie’s theorem. (English) Zbl 1338.17019 Commun. Algebra 42, No. 10, 4269-4273 (2014). MSC: 17B65 17B30 PDFBibTeX XMLCite \textit{J. Hennig}, Commun. Algebra 42, No. 10, 4269--4273 (2014; Zbl 1338.17019) Full Text: DOI arXiv
Wang, Dengyin; Ou, Shikun; Yu, Xiaoxiang Invertible linear maps on simple Lie algebras preserving solvability. (English) Zbl 1326.17008 Commun. Algebra 42, No. 3, 1368-1378 (2014). MSC: 17B20 17B30 17B40 PDFBibTeX XMLCite \textit{D. Wang} et al., Commun. Algebra 42, No. 3, 1368--1378 (2014; Zbl 1326.17008) Full Text: DOI
Towers, David A. Supplements to maximal subalgebras of Lie algebras. (English) Zbl 1290.17005 Commun. Algebra 41, No. 10, 3848-3857 (2013). Reviewer: Salvatore Siciliano (Lecce) MSC: 17B05 17B30 17B20 PDFBibTeX XMLCite \textit{D. A. Towers}, Commun. Algebra 41, No. 10, 3848--3857 (2013; Zbl 1290.17005) Full Text: DOI arXiv
Moens, Wolfgang Alexander A characterisation of nilpotent Lie algebras by invertible Leibniz-derivations. (English) Zbl 1300.17015 Commun. Algebra 41, No. 7, 2427-2440 (2013). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 17B40 17B30 PDFBibTeX XMLCite \textit{W. A. Moens}, Commun. Algebra 41, No. 7, 2427--2440 (2013; Zbl 1300.17015) Full Text: DOI arXiv
Batten, Chelsie; Bosko-Dunbar, Lindsey; Hedges, Allison; Hird, J. T.; Stagg, Kristen; Stitzinger, Ernest A Frattini theory for Leibniz algebras. (English) Zbl 1272.17003 Commun. Algebra 41, No. 4, 1547-1557 (2013). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 17A32 17B30 PDFBibTeX XMLCite \textit{C. Batten} et al., Commun. Algebra 41, No. 4, 1547--1557 (2013; Zbl 1272.17003) Full Text: DOI arXiv
Towers, David A.; Varea, Vicente R. Further results on elementary Lie algebras and Lie \(A\)-algebras. (English) Zbl 1269.17003 Commun. Algebra 41, No. 4, 1432-1441 (2013). MSC: 17B05 17B20 17B30 PDFBibTeX XMLCite \textit{D. A. Towers} and \textit{V. R. Varea}, Commun. Algebra 41, No. 4, 1432--1441 (2013; Zbl 1269.17003) Full Text: DOI arXiv
Chen, Zhengxin Automorphisms and derivations of certain solvable Lie algebras over commutative rings. (English) Zbl 1287.17036 Commun. Algebra 40, No. 2, 738-769 (2012). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B40 17B30 PDFBibTeX XMLCite \textit{Z. Chen}, Commun. Algebra 40, No. 2, 738--769 (2012; Zbl 1287.17036) Full Text: DOI
Chen, Zhengxin; Wang, Dengyin Derivations of certain nilpotent Lie algebras over commutative rings. (English) Zbl 1247.17013 Commun. Algebra 39, No. 10, 3736-3752 (2011). Reviewer: Ki-Bong Nam (Whitewater) MSC: 17B40 17B30 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{D. Wang}, Commun. Algebra 39, No. 10, 3736--3752 (2011; Zbl 1247.17013) Full Text: DOI
Wang, Dengyin; Chen, Zhengxin Quasi-automorphisms of Lie algebras. (English) Zbl 1238.17013 Commun. Algebra 39, No. 7, 2388-2395 (2011). Reviewer: Matej Brešar (Maribor) MSC: 17B40 17B30 17B20 PDFBibTeX XMLCite \textit{D. Wang} and \textit{Z. Chen}, Commun. Algebra 39, No. 7, 2388--2395 (2011; Zbl 1238.17013) Full Text: DOI
Rakhimov, I. S.; Bekbaev, U. D. On isomorphisms and invariants of finite dimensional complex filiform Leibniz algebras. (English) Zbl 1237.17007 Commun. Algebra 38, No. 12, 4705-4738 (2010). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 17A32 17B60 17A60 17B70 13A50 17B30 PDFBibTeX XMLCite \textit{I. S. Rakhimov} and \textit{U. D. Bekbaev}, Commun. Algebra 38, No. 12, 4705--4738 (2010; Zbl 1237.17007) Full Text: DOI Link
Salemkar, Ali Reza; Mirzaei, Fateme Characterizing \(n\)-isoclinism classes of Lie algebras. (English) Zbl 1225.17016 Commun. Algebra 38, No. 9, 3392-3403 (2010). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B30 17B60 17B99 PDFBibTeX XMLCite \textit{A. R. Salemkar} and \textit{F. Mirzaei}, Commun. Algebra 38, No. 9, 3392--3403 (2010; Zbl 1225.17016) Full Text: DOI
Petravchuk, Anatoliy P. On behavior of solvable ideals of Lie algebras under outer derivations. (English) Zbl 1246.17013 Commun. Algebra 38, No. 6, 2311-2316 (2010). MSC: 17B30 17B40 PDFBibTeX XMLCite \textit{A. P. Petravchuk}, Commun. Algebra 38, No. 6, 2311--2316 (2010; Zbl 1246.17013) Full Text: DOI arXiv
Kofinas, Constantinos E.; Papistas, Athanassios I. Automorphisms of relatively free nilpotent Lie algebras. (English) Zbl 1198.17005 Commun. Algebra 38, No. 4, 1575-1593 (2010). Reviewer: Vitaly Linchenko (Yerakhtur) MSC: 17B01 17B30 17B40 20F28 20F18 PDFBibTeX XMLCite \textit{C. E. Kofinas} and \textit{A. I. Papistas}, Commun. Algebra 38, No. 4, 1575--1593 (2010; Zbl 1198.17005) Full Text: DOI
García, Esther; Gómez Lozano, Miguel A note on a result of Kostrikin. (English) Zbl 1185.17009 Commun. Algebra 37, No. 7, 2405-2409 (2009). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 17B30 17B40 PDFBibTeX XMLCite \textit{E. García} and \textit{M. Gómez Lozano}, Commun. Algebra 37, No. 7, 2405--2409 (2009; Zbl 1185.17009) Full Text: DOI
Luo, Li Cohomology of oriented tree diagram Lie algebras. (English) Zbl 1205.17013 Commun. Algebra 37, No. 3, 965-984 (2009). Reviewer: Vesselin Drensky (Sofia) MSC: 17B56 17B30 17B66 PDFBibTeX XMLCite \textit{L. Luo}, Commun. Algebra 37, No. 3, 965--984 (2009; Zbl 1205.17013) Full Text: DOI arXiv
Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P. Nilpotent ideals in graded Lie algebras and almost constant-free derivations. (English) Zbl 1226.17013 Commun. Algebra 36, No. 5, 1869-1882 (2008). MSC: 17B40 17B70 17B30 20E36 20F40 PDFBibTeX XMLCite \textit{E. I. Khukhro} et al., Commun. Algebra 36, No. 5, 1869--1882 (2008; Zbl 1226.17013) Full Text: DOI
Salemkar, Ali Reza; Alamian, Vahid; Mohammadzadeh, Hamid Some properties of the Schur multiplier and covers of Lie algebras. (English) Zbl 1132.17003 Commun. Algebra 36, No. 2, 697-707 (2008). MSC: 17B30 17B60 17B99 PDFBibTeX XMLCite \textit{A. R. Salemkar} et al., Commun. Algebra 36, No. 2, 697--707 (2008; Zbl 1132.17003) Full Text: DOI
Milentyeva, Maria V. On the dimensions of commutative subalgebras and subgroups of nilpotent algebras and Lie groups of class 2. (English) Zbl 1232.17021 Commun. Algebra 35, No. 4, 1141-1154 (2007). MSC: 17B30 16P10 22E25 PDFBibTeX XMLCite \textit{M. V. Milentyeva}, Commun. Algebra 35, No. 4, 1141--1154 (2007; Zbl 1232.17021) Full Text: DOI arXiv
Siciliano, Salvatore Cartan subalgebras in Lie algebras of associative algebras. (English) Zbl 1162.17006 Commun. Algebra 34, No. 12, 4513-4522 (2006). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B05 PDFBibTeX XMLCite \textit{S. Siciliano}, Commun. Algebra 34, No. 12, 4513--4522 (2006; Zbl 1162.17006) Full Text: DOI
Burde, Dietrich Degenerations of 7-dimensional nilpotent Lie algebras. (English) Zbl 1126.17011 Commun. Algebra 33, No. 4, 1259-1277 (2005). MSC: 17B30 17B56 PDFBibTeX XMLCite \textit{D. Burde}, Commun. Algebra 33, No. 4, 1259--1277 (2005; Zbl 1126.17011) Full Text: DOI arXiv
Khakimdjanova, Kamola; Khakimdjanov, Yusupdjan On a class of infinite dimensional Lie algebras. (Sur une classe d’algèbres de Lie de dimension infinie.) (French) Zbl 0988.17015 Commun. Algebra 29, No. 1, 177-191 (2001). Reviewer: Daniel Beltita (Bucureşti) MSC: 17B65 17B30 17B66 PDFBibTeX XMLCite \textit{K. Khakimdjanova} and \textit{Y. Khakimdjanov}, Commun. Algebra 29, No. 1, 177--191 (2001; Zbl 0988.17015) Full Text: DOI
Drensky, Vesselin Automorphisms of the enveloping algebra of the three-dimensional nilpotent Lie algebra. (English) Zbl 0993.17009 Commun. Algebra 29, No. 4, 1639-1647 (2001). Reviewer: Ernest L.Stitzinger (Raleigh) MSC: 17B40 17B35 17B30 PDFBibTeX XMLCite \textit{V. Drensky}, Commun. Algebra 29, No. 4, 1639--1647 (2001; Zbl 0993.17009) Full Text: DOI
Fernández-Ternero, D.; Núñez-Valdés, J. Nilpotent Lie algebras of maximal rank and of Kac-Moody type: \(F_4^{(1)}\). (English) Zbl 0991.17008 Commun. Algebra 29, No. 4, 1551-1570 (2001). Reviewer: M.Boral (Adana) MSC: 17B30 17B67 PDFBibTeX XMLCite \textit{D. Fernández-Ternero} and \textit{J. Núñez-Valdés}, Commun. Algebra 29, No. 4, 1551--1570 (2001; Zbl 0991.17008) Full Text: DOI
Holmes, Karen; Stitzinger, Ernest Finite dimensional nilpotent Lie algebras with isomorphic maximal subalgebras. (English) Zbl 0985.17008 Commun. Algebra 29, No. 6, 2501-2521 (2001). Reviewer: M.Boral (Adana) MSC: 17B30 PDFBibTeX XMLCite \textit{K. Holmes} and \textit{E. Stitzinger}, Commun. Algebra 29, No. 6, 2501--2521 (2001; Zbl 0985.17008) Full Text: DOI
Ancochea Bermúdez, José María; Campoamor Stursberg, Otto Rutwig On 2-abelian (\(n\)-\(5\))-filiform Lie algebras. (English) Zbl 0979.17004 Commun. Algebra 29, No. 7, 3199-3222 (2001). Reviewer: Daniel Beltita (Bucureşti) MSC: 17B30 17B05 17B40 PDFBibTeX XMLCite \textit{J. M. Ancochea Bermúdez} and \textit{O. R. Campoamor Stursberg}, Commun. Algebra 29, No. 7, 3199--3222 (2001; Zbl 0979.17004) Full Text: DOI
Riley, David M. Generalised nilpotence conditions in \(n\)-Engel Lie algebras. (English) Zbl 0964.17006 Commun. Algebra 28, No. 10, 4619-4634 (2000). Reviewer: Ernest L.Stitzinger (Raleigh) MSC: 17B30 17B35 17B50 17B05 PDFBibTeX XMLCite \textit{D. M. Riley}, Commun. Algebra 28, No. 10, 4619--4634 (2000; Zbl 0964.17006) Full Text: DOI
Cabezas, J. M.; Camacho, L. M.; Gómez, J. R.; Navarro, R. M. A class of nilpotent Lie algebras. (English) Zbl 0970.17007 Commun. Algebra 28, No. 9, 4489-4499 (2000). Reviewer: Daniel Beltita (Bucureşti) MSC: 17B30 17B05 PDFBibTeX XMLCite \textit{J. M. Cabezas} et al., Commun. Algebra 28, No. 9, 4489--4499 (2000; Zbl 0970.17007) Full Text: DOI Link
Mishchenko, S. P.; Regev, Amitai; Zaicev, Michail Integrality of exponents of some abelian-by-nilpotent varieties of Lie algebras. (English) Zbl 0970.17002 Commun. Algebra 28, No. 9, 4105-4130 (2000). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B01 17B30 PDFBibTeX XMLCite \textit{S. P. Mishchenko} et al., Commun. Algebra 28, No. 9, 4105--4130 (2000; Zbl 0970.17002) Full Text: DOI
Cabezas, J. M.; Gómez, J. R. \((n-4)\)-filiform Lie algebras. (English) Zbl 0934.17003 Commun. Algebra 27, No. 10, 4803-4819 (1999). Reviewer: Daniel Beltita (Bucureşti) MSC: 17B30 PDFBibTeX XMLCite \textit{J. M. Cabezas} and \textit{J. R. Gómez}, Commun. Algebra 27, No. 10, 4803--4819 (1999; Zbl 0934.17003) Full Text: DOI
Phillips, Richard E.; Wald, Jeanne Locally solvable finitary Lie algebras. (English) Zbl 0921.17006 Commun. Algebra 26, No. 12, 4375-4384 (1998). Reviewer: M.Boral (Adana) MSC: 17B65 17B30 17B05 PDFBibTeX XMLCite \textit{R. E. Phillips} and \textit{J. Wald}, Commun. Algebra 26, No. 12, 4375--4384 (1998; Zbl 0921.17006) Full Text: DOI
Hardy, Peter; Stitzinger, Ernest On characterizing nilpotent Lie algebras by their multipliers, \(t(L)=3,4,5,6\). (English) Zbl 0916.17008 Commun. Algebra 26, No. 11, 3527-3539 (1998). Reviewer: M.Boral (Adana) MSC: 17B30 PDFBibTeX XMLCite \textit{P. Hardy} and \textit{E. Stitzinger}, Commun. Algebra 26, No. 11, 3527--3539 (1998; Zbl 0916.17008) Full Text: DOI
Noui, L.; Revoy, Ph. Orthogonal Lie algebras and alternating trilinear forms. (Algèbres de Lie orthogonales et formes trilinéaires alternées.) (French) Zbl 0867.17006 Commun. Algebra 25, No. 2, 617-622 (1997). Reviewer: E.L.Stitzinger (Raleigh) MSC: 17B30 15A69 PDFBibTeX XMLCite \textit{L. Noui} and \textit{Ph. Revoy}, Commun. Algebra 25, No. 2, 617--622 (1997; Zbl 0867.17006) Full Text: DOI
Hilgert, Joachim; Neeb, Karl-Hermann Orthogonal Lie algebras with cone potential. (English) Zbl 0892.17008 Commun. Algebra 24, No. 2, 433-444 (1996). Reviewer: J.D.Lawson (Baton Rouge) MSC: 17B05 17B20 17B30 PDFBibTeX XMLCite \textit{J. Hilgert} and \textit{K.-H. Neeb}, Commun. Algebra 24, No. 2, 433--444 (1996; Zbl 0892.17008) Full Text: DOI
Varea, Vicente R. Lie algebras all of whose proper subalgebras are solvable. (English) Zbl 0829.17006 Commun. Algebra 23, No. 9, 3245-3267 (1995). Reviewer: M.Boral (Adana) MSC: 17B05 17B30 17B50 PDFBibTeX XMLCite \textit{V. R. Varea}, Commun. Algebra 23, No. 9, 3245--3267 (1995; Zbl 0829.17006) Full Text: DOI
Gein, Alexander G.; Varea, Vicente R. Corrigenda: ‘Solvable Lie algebras and their subalgebra lattices’. (English) Zbl 0818.17004 Commun. Algebra 23, No. 1, 399-403 (1995). MSC: 17B30 17B05 PDFBibTeX XMLCite \textit{A. G. Gein} and \textit{V. R. Varea}, Commun. Algebra 23, No. 1, 399--403 (1995; Zbl 0818.17004) Full Text: DOI
Meng, Dao Ji Some results on complete Lie algebras. (English) Zbl 0814.17004 Commun. Algebra 22, No. 13, 5457-5507 (1994). Reviewer: Chiu Sen (Shanghai) MSC: 17B05 17B30 PDFBibTeX XMLCite \textit{D. J. Meng}, Commun. Algebra 22, No. 13, 5457--5507 (1994; Zbl 0814.17004) Full Text: DOI
Goze, M.; Hakimjanov, Yu.; Makhlouf, A. On characteristically nilpotent associative algebras. (Sur les algèbres associatives caractéristiquement nilpotentes.) (French) Zbl 0816.17005 Commun. Algebra 22, No. 8, 2961-2968 (1994). Reviewer: J.A.Cuenca Mira (Málaga) MSC: 17B30 16W25 PDFBibTeX XMLCite \textit{M. Goze} et al., Commun. Algebra 22, No. 8, 2961--2968 (1994; Zbl 0816.17005) Full Text: DOI
Benito, M. P. Lie algebras whose lattice of ideals is closely related with a subspace lattice. (English) Zbl 0798.17006 Commun. Algebra 22, No. 7, 2529-2545 (1994). Reviewer: G.Brown (Boulder) MSC: 17B30 17B05 PDFBibTeX XMLCite \textit{M. P. Benito}, Commun. Algebra 22, No. 7, 2529--2545 (1994; Zbl 0798.17006) Full Text: DOI
Papistas, A. I. Automorphisms of free polynilpotent Lie algebras. (English) Zbl 0787.17007 Commun. Algebra 21, No. 12, 4391-4395 (1993). Reviewer: M.Boral (Adana) MSC: 17B30 17B40 17B01 20E36 20F19 PDFBibTeX XMLCite \textit{A. I. Papistas}, Commun. Algebra 21, No. 12, 4391--4395 (1993; Zbl 0787.17007) Full Text: DOI
Guédénon, Thomas Tauvel’s height formula in differential operator rings. (La formule des hauteurs de Tauvel dans les anneaux d’opérateurs différentiels.) (French) Zbl 0796.16018 Commun. Algebra 21, No. 6, 2077-2100 (1993). Reviewer: M.P.Holland (Sheffield) MSC: 16S32 17B30 16P90 16D25 16W25 17B35 16S35 PDFBibTeX XMLCite \textit{T. Guédénon}, Commun. Algebra 21, No. 6, 2077--2100 (1993; Zbl 0796.16018) Full Text: DOI
Gejn, Alexander G.; Varea, Vicente R. Solvable Lie algebras and their subalgebra lattices. (English) Zbl 0756.17004 Commun. Algebra 20, No. 8, 2203-2217 (1992). Reviewer: M.Boral (Adana) MSC: 17B30 17B05 PDFBibTeX XMLCite \textit{A. G. Gejn} and \textit{V. R. Varea}, Commun. Algebra 20, No. 8, 2203--2217 (1992; Zbl 0756.17004) Full Text: DOI
Ancochea Bermudez, José Maria; Goze, Michel The rank of a linear system of roots of a complex solvable rigid Lie algebra. (Le rang du système linéaire des racines d’une algèbre de Lie rigide résoluble complexe.) (French) Zbl 0748.17005 Commun. Algebra 20, No. 3, 875-887 (1992). Reviewer: M.Bertrand (Mont-Saint-Aignan) MSC: 17B05 17B30 PDFBibTeX XMLCite \textit{J. M. Ancochea Bermudez} and \textit{M. Goze}, Commun. Algebra 20, No. 3, 875--887 (1992; Zbl 0748.17005) Full Text: DOI
Mulet, Josep On a theorem of Barou and Malliavin. (English) Zbl 0787.16023 Commun. Algebra 20, No. 9, 2589-2607 (1992). Reviewer: W.M.McGovern (Seattle) MSC: 16S30 17B35 17B30 PDFBibTeX XMLCite \textit{J. Mulet}, Commun. Algebra 20, No. 9, 2589--2607 (1992; Zbl 0787.16023) Full Text: DOI
Ekici, Naime Free polynilpotent subalgebras of a free polynilpotent Lie algebra. (English) Zbl 0724.17004 Commun. Algebra 19, No. 1, 37-43 (1991). Reviewer: H.Heineken (Würzburg) MSC: 17B01 17B30 PDFBibTeX XMLCite \textit{N. Ekici}, Commun. Algebra 19, No. 1, 37--43 (1991; Zbl 0724.17004) Full Text: DOI
Boral, Melih On ideals of free polynilpotent Lie algebras. (English) Zbl 0724.17003 Commun. Algebra 19, No. 1, 29-35 (1991). Reviewer: H.Heineken (Würzburg) MSC: 17B01 17B30 PDFBibTeX XMLCite \textit{M. Boral}, Commun. Algebra 19, No. 1, 29--35 (1991; Zbl 0724.17003) Full Text: DOI
Khakimdzhanov, Yu. B. On varieties of Lie algebras. (Sur les variétés d’algèbres de Lie.) (French) Zbl 0712.17012 Commun. Algebra 18, No. 4, 1147-1187 (1990). Reviewer: A. S. Dzhumadil’daev MSC: 17B30 17B56 17B01 PDFBibTeX XMLCite \textit{Yu. B. Khakimdzhanov}, Commun. Algebra 18, No. 4, 1147--1187 (1990; Zbl 0712.17012) Full Text: DOI
Boral, Melih On subalgebras of free solvable and polynilpotent Lie algebras. (English) Zbl 0699.17012 Commun. Algebra 18, No. 4, 1199-1214 (1990). Reviewer: H.Heineken MSC: 17B30 PDFBibTeX XMLCite \textit{M. Boral}, Commun. Algebra 18, No. 4, 1199--1214 (1990; Zbl 0699.17012) Full Text: DOI
Letzter, Gail Integrality of I-adic completions. (English) Zbl 0651.17006 Commun. Algebra 16, No. 10, 2031-2041 (1988). Reviewer: P.F.Smith MSC: 17B35 16U10 16P40 17B30 16D60 16Dxx PDFBibTeX XMLCite \textit{G. Letzter}, Commun. Algebra 16, No. 10, 2031--2041 (1988; Zbl 0651.17006) Full Text: DOI
André, Michel Condition d’évitement et localisation des algèbres enveloppantes d’algèbres de Lie résolubles. (Avoidance condition and localization of enveloping algebras of solvable Lie algebras). (French) Zbl 0633.16007 Commun. Algebra 15, 1981-1989 (1987). Reviewer: K.A.Brown MSC: 16P40 17B35 17B30 16P50 16Dxx PDFBibTeX XMLCite \textit{M. André}, Commun. Algebra 15, 1981--1989 (1987; Zbl 0633.16007) Full Text: DOI
Sigurdsson, Gunnar Ideals in universal enveloping algebras of solvable Lie algebras. (English) Zbl 0623.17006 Commun. Algebra 15, 813-826 (1987). Reviewer: P.F.Smith MSC: 17B35 17B30 16Dxx 16P50 16P40 PDFBibTeX XMLCite \textit{G. Sigurdsson}, Commun. Algebra 15, 813--826 (1987; Zbl 0623.17006) Full Text: DOI
Malliavin, M.-P. Injective representations of solvable Lie algebras. (Représentations injectives d’algèbres de Lie résolubles.) (French) Zbl 0601.17007 Commun. Algebra 14, 1503-1513 (1986). Reviewer: S. Paul Smith (Seattle) MSC: 17B35 17B30 16S30 16D50 16E99 PDFBibTeX XMLCite \textit{M. P. Malliavin}, Commun. Algebra 14, 1503--1513 (1986; Zbl 0601.17007) Full Text: DOI
Stitzinger, Ernest L. Abnormal depth in solvable Lie algebras. (English) Zbl 0592.17009 Commun. Algebra 14, 1213-1221 (1986). Reviewer: H.Heineken MSC: 17B30 PDFBibTeX XMLCite \textit{E. L. Stitzinger}, Commun. Algebra 14, 1213--1221 (1986; Zbl 0592.17009) Full Text: DOI
Varea, Vicente R. On Lie algebras in which the relation of being an ideal is transitive. (English) Zbl 0567.17006 Commun. Algebra 13, 1135-1150 (1985). Reviewer: A. G. Geĭn (Sverdlovsk) MSC: 17B05 17B30 PDFBibTeX XMLCite \textit{V. R. Varea}, Commun. Algebra 13, 1135--1150 (1985; Zbl 0567.17006) Full Text: DOI
Maury, Guy; Reynaud, Dominique Algèbres enveloppantes de \(R\)-algèbres de Lie sur certains anneaux \(R\). (French) Zbl 0502.17008 Commun. Algebra 11, 753-769 (1983). Reviewer: Patrick F. Smith (Glasgow) MSC: 17B35 16H05 16P40 17B30 16Dxx PDFBibTeX XMLCite \textit{G. Maury} and \textit{D. Reynaud}, Commun. Algebra 11, 753--769 (1983; Zbl 0502.17008) Full Text: DOI
Zalesskij, A. E.; Smirnov, M. B. Lie algebra associated with linear group. (English) Zbl 0476.16024 Commun. Algebra 9, 2075-2100 (1981); Erratum 12, 2859 (1984). MSC: 16W10 16U60 17B30 PDFBibTeX XMLCite \textit{A. E. Zalesskij} and \textit{M. B. Smirnov}, Commun. Algebra 9, 2075--2100 (1981; Zbl 0476.16024) Full Text: DOI
Sehgal, Surinder K. Projectors of Lie algebras. (English) Zbl 0415.17009 Commun. Algebra 7, 1257-1267 (1979). MSC: 17B30 17B40 20D10 PDFBibTeX XMLCite \textit{S. K. Sehgal}, Commun. Algebra 7, 1257--1267 (1979; Zbl 0415.17009) Full Text: DOI