output
20162026
most citedTwo-Local derivations on associative and Jordan matrix rings over commutative rings

16 citations

6 papers

gr-qc2026★ 4 cited

Spinning Particles around Einstein-Geometric Proca AdS Compact Objects

Gulzoda Rakhimova, Beyhan Puliçe, Elham Ghorani +2

We investigate the dynamics of spinning test particles in the vicinity of Einstein--geometric Proca (EGP) Anti-de Sitter (AdS) compact objects, which arise from metric-Palatini gra…

math.RA2021★ 5 cited

Local and 2-local automorphisms of some solvable Leibniz algebras

F. N. Arzikulov, I. A. Karimjanov, S. M. Umrzaqov

In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complem…

math.RA2020★ 9 cited

Central extensions of filiform Zinbiel algebras

Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1

In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of…

math.RA2020★ 7 cited

One-generated nilpotent Novikov algebras

Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1

We give a classification of 5- and 6-dimensional complex one-generated nilpotent Novikov algebras

math.RA2017★ 16 cited

Two-Local derivations on associative and Jordan matrix rings over commutative rings

Shavkat Ayupov, Farhodjon Arzikulov

In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has…

math.RA2016

Leibniz algebras constructed by representations of General Diamond Lie algebras

L. M. Camacho, I. A. Karimjanov, M. Ladra +1

In this paper we construct a minimal faithful representation of the -dimensional complex general Diamond Lie algebra, , which is isomorphic to a…