Sh. A. Ayupov, K. K. Kudaybergenov, B. B. Yusupov, “Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 144,Pages 65

This article is cited in 3 papers

Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras

Sh. A. Ayupov^a, K. K. Kudaybergenov^b, B. B. Yusupov^c

^a V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
^b Karakalpak State University named after Berdakh
^c National University of Uzbekistan named after M. Ulugbek, Tashkent

Abstract: In this paper, we study local and $2$-local differentiations of $p$-filiform Leibniz algebras, describe all local differentiations of $p$-filiform non-Lie Leibniz algebras, and also show that there exist two-local differentiations on these algebras that are not differentiations.

Keywords: Leibniz algebra, $p$-filiform Leibniz algebra, differentiation, local differentiation, $2$-local differentiation.

UDC: 512.554.38

MSC: Primary 17A32; Secondary 17B10, 17B20