The Structure of Simple Noncommutative Jordan Superalgebras

In this paper, we describe all subalgebras and automorphisms of simple noncommutative Jordan superalgebras K3(α,β,γ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K_3(\alpha ,\beta ,\gamma )$$\end{document} and Dt(α,β,γ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$D_t(\alpha ,\beta ,\gamma )$$\end{document}. We also compute the derivations under some restrictions of the nontrivial simple finite-dimensional noncommutative Jordan superalgebras. All superalgebras are considered over a field of the characteristic 0.