4 papers · 1 filter
Complete and cocomplete Lie algebras with injective- and projective-type properties
Vu A. Le, Hoa Q. Duong, Tuan A. Nguyen
In the category of modules, injective and projective objects are characterized by the splitting of short exact sequences. Motivated by this principle, we investigate analogous phen…
Complete and cocomplete Lie algebras with injective and projective properties
Vu A. Le, Hoa Q. Duong, Tuan A. Nguyen
Motivated by the classical correspondence between short exact sequences and splitting properties in module theory, this paper examines the projective and injective analogues within…
On the problem of classifying solvable Lie algebras having small codimensional derived algebras
Hoa Q. Duong, Vu A. Le, Tuan A. Nguyen +2
This paper concerns the problem of classifying finite-dimensional real solvable Lie algebras whose derived algebras are of codimension 1 or 2. On the one hand, we present an effect…
On the classifying problem for the class of real solvable Lie algebras having 2-dimensional or 2-codimensional derived ideal
Vu A. Le, Tuan A. Nguyen, Tu T. C. Nguyen +2
Let denote the class of all -dimensional real solvable Lie algebras having -dimensional derived ideal (). In 199…