5 citations · 13 across the 32 of their papers we have counts for
5 papers · 1 filter
Classes of Algebras and closure operations
I. S. Gutierrez, Anselmo Torresblanca-Badillo, David A. Towers
The calculus of classes and closure operations has proved to be a useful tool in group theory and has led to a deep theory in the study of finite soluble groups. More recently, par…
On the subalgebra lattice of a Leibniz algebra
Salvatore Siciliano, David A. Towers
In this paper we begin to study the subalgebra lattice of a Leibniz algebra. In particular, we deal with Leibniz algebras whose subalgebra lattice is modular, upper semi-modular, l…
Weak c-ideals of Lie algebras
David A. Towers, Zekiye Ciloglu
A subalgebra B of a Lie algebra L is called a weak c-ideal of L if there is a subideal C of L such that L = B+C and B\cap C \subseteq B_L where B_L is the largest ideal of L contai…
On certain classes of algebras in which centralizers are ideals
Ripan Saha, David A. Towers
This paper is primarily concerned with studying finite-dimensional anti-commutative nonassociative algebras in which every centralizer is an ideal. These are shown to be anti-assoc…
Quasi-ideals of Leibniz algebras
David A. Towers
A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] \subseteq H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L.…