4 citations · 6 across the 6 of their papers we have counts for
6 papers
On Completeness of -ary Hom-Nambu and Hom-Lie Superalgebras
Mohammad Reza Farhangdoost, Mohammad Reza Hafezi, Sergei Silvestrov
We introduce and study completeness for multiplicative -ary Hom-Nambu superalgebras. Because an -ary Hom-Nambu bracket is not necessarily totally super-skew-symmetric, we def…
Non-degenerate Killing forms on Hom-Lie superalgebras
Abdoreza Armakan, Mohammad Reza Farhangdoost, Sergei Silvestrov
In this paper we investigate some important basic properties of simple Hom-Lie superalgebras and show that a Hom-Lie superalgebra does not have any left or right nontrivial ideals.…
Z-graded Hom-Lie Superalgebras
M. R. Farhangdoost, A. R. Attari Polsangi
In this paper we introduce the notions of Z-graded hom-Lie superalgebras and we show that there is a maximal (resp., minimal) Z-graded hom-Lie superalgebra for a given local hom-Li…
Cartan's theorem for some topological generalized groups
A. R. Armakan, M. R. Farhangdoost, F. Gorlizkhatami +1
In this paper we show that topological subgroupoids of Lie groupoids, under special circumstances are Lie subgroupoids. Giving an example, we indicate that having the same topologi…
Extensions of hom-Lie color algebras
A. R. Armakan, S. Silvestrov, M. R. Farhangdoost
In this paper we study (non-Abelian) extensions of a given hom-Lie color algebra and provide a geometrical interpretation of extensions. In particular, we characterize an extension…
Enveloping algebras of color hom-Lie algebras
A. R. Armakan, S. Silvestrov, M. R. Farhangdoost
In this paper the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the free involutive hom-associative color algebra on a hom-module is describe…