17 citations · 17 across the 4 of their papers we have counts for
9 papers
Remarks on separativity of regular rings
A. Alahmadi, S. K. Jain, A. Leroy
Separative von Neumann regular rings exist in abundance. For example, all regular self-injective rings, unit regular rings, regular rings with a polynomial identity are separative.…
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) \}.…
Regular elements determined by generalized inverses
Adel Alahmadi, S. K. Jain, André Leroy
In a semiprime ring, von Neumann regular elements are determined by their inner inverses. In particular, for elements of a von Neumann regular ring , if and only if…
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…