17 citations · 19 across the 8 of their papers we have counts for
16 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…
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…
Finite presentation is a Morita invariant property
Adel Alahmadi, Hamed Alsulami
We prove that the property of an algebra to be finitely presented is Morita invariant.
Centers of Cuntz-Krieger -algebras
Adel Alahmadi, Hamed Alsulami
For a finite directed graph we determine the center of the Cuntz-Krieger -algebra
On finitely presented algebras
Adel Alahmadi, Hamed Alsulami
We prove that if is finitely presented algebra with idempotent such that then the algebra is finitely presented.
Centers of Leavitt path algebras and their completions
Adel Alahmadi, Hamed Alsulami
In [8, 9] M. G. Corrales Garcia, D. M. Barquero, C. Martin Gonzalez, M. Siles Molina, J. F Solanilla Hernandez described the center of a Leavitt path algebra and characterized it i…
Completions of Leavitt path algebras
Adel Alahmadi, Hamed Alsulami
We introduce a class of topologies on the Leavitt path algebra of a finite directed graph and decompose a graded completion as a direct sum of minimal ideal…
Wreath products by a Leavitt path algebra
Adel Alahmadi, Hamed Alsulami
We introduce ring theoretic constructions that are similar to the construction of wreath product of groups. In particular, for a given graph and an associate algebra …
Decomposition of Singular Matrices into Idempotents
Adel Alahmadi, Surender Jain, André Leroy
In this paper we provide concrete constructions of idempotents to represent typical singular matrices over a given ring as a product of idempotents and apply these factorizations f…
Leavitt Path Algebras of Finite Gelfand-Kirillov Dimension
A. Alahmadi, H. Alsulami, S. K. Jain +1
Groebner-Shirshov basis and Gelfand-Kirillov dimension of the Leavitt path algebra are derived.