2 citations · 2 across the 7 of their papers we have counts for
8 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.…
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…
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…
Indecomposable Decomposition and couniserial dimension
A. Ghorbani, S. K. Jain, Z. Nazemian
Dimensions like Gelfand, Krull, Goldie have an intrinsic role in the study of theory of rings and modules. They provide useful technical tools for studying their structure. In this…
Finite generation of Lie algebras associated to associative algebras
Adel Alahmedi, Hamed Alsulami, S. K. Jain +1
Let be a field of characteristic not . An associative -algebra gives rise to the commutator Lie algebra If the algebra is equipped wit…