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math.RA2017★ 2 cited
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,…
math.RA2017
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…