26 citations · 28 across the 7 of their papers we have counts for
16 papers
Simplicity of Lie algebras of Poisson brackets
Adel Alahmadi, Hamed Alsulami
Let be an associative commutative algebra with over a field of zero characteristic, is a Poisson bracket, $Z = \{ a \in A \mid \{a, A\} = (0) \}.…
On the Morita equivalence class of a finitely presented algebra
Adel Alahmadi, Hamed Alsulami, Efim Zelmanov
In this note we discuss Morita equivalence classes of arbitrary finitely presented algebras
Finite generation of Lie derived powers of associative algebras
Adel Alahmadi, Hamed Alsulami
Let be an associative algebra over a field of characteristic that is generated by a finite collection of nilpotent elements. We prove that all Lie derived powers of $A…
Embeddings in Lie algebras of subexponential growth
Adel Alahmadi, Hamed Alsulami
We prove that an arbitrary countable dimensional Lie algebra over a field of characteristic that is locally of subexponential growth is embeddable in a finitely generated…
Matrix wreath products of algebras and embedding theorems
Adel Alahmadi, Hamed Alsulami, S. K. Jain +1
We introduce a new construction of matrix wreath products of algebras that is similar to wreath products of groups. We then use it to prove embedding theorems for Jacobson radical,…
Algebras and semigroups of locally subexponential growth
Adel Alahmadi, Hamed Alsulami, S. K. Jain +1
We prove that a countable dimensional associative algebra (resp. a countable semigroup) of locally subexponential growth is -embeddable as a left ideal in a finitely gene…