The study of symmetry: groups, subgroups, homomorphisms, and group actions.

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A property of the subgroups lattices

Let $G$ be a finite group. Consider all the subgroups $H$ such that its subgroups lattice $\mathcal{L}(H)$ is distributive (i.e. the group $H$ is cyclic, by Ore's theorem), and among them, let $\{ ...
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Matrix Derivations-Research

$DT_3(R)$ is the upper triangular matrix with the diagonal being the same element, for example $\begin{bmatrix}a&b&c\\0&a&d\\0&0&a\end{bmatrix}$ where $a,b,c,d ∈R$. Based on ...