2 citations · 5 across the 5 of their papers we have counts for
5 papers
Local and 2-local derivations of the octonion algebra
F. N. Arzikulov, I. A. Karimjanov, S. Uguz
In the present paper, we prove that a local derivation on the octonion (Cayley) algebra over an arbitrary field, satisfying some conditions is a derivation, and every…
Leibniz algebras associated with representations of Euclidean Lie algebra
J. Q. Adashev, B. A. Omirov, S. Uguz
In the present paper we describe Leibniz algebras with three-dimensional Euclidean Lie algebra as its liezation. Moreover, it is assumed that the ideal generated…
Leibniz algebras associated with representations of the Diamond Lie algebra
S. Uguz, I. A. Karimjanov, B. A. Omirov
In this paper we describe some Leibniz algebras whose corresponding Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by the squares of ele…
Exact solution of a generalized ANNNI model on a Cayley tree
U. A. Rozikov, H. Akin, S. Uguz
We consider the Ising model on a Cayley tree of order two with nearest neighbor interactions and competing next nearest neighbor interactions restricted to spins belonging to the s…
Canonical bases for real representations of Clifford algebras
Ayse H. Bilge, Sahin Kocak, Selman Uguz
The well-known classification of the Clifford algebras leads to canonical forms of complex and real representations which are essentially unique by virtue of the Wedderbu…