43 citations · 124 across the 25 of their papers we have counts for
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math.RA2020★ 1 cited
Random generation of associative algebras
Damian Sercombe, Aner Shalev
There has been considerable interest in recent decades in questions of random generation of finite and profinite groups, and finite simple groups in particular. In this paper we st…
math.RA2020
Residually finite dimensional algebras and polynomial almost identities
Michael Larsen, Aner Shalev
Let be a residually finite dimensional algebra (not necessarily associative) over a field . Suppose first that is algebraically closed. We show that if satisfies a h…
math.RA2020
The length and depth of associative algebras
Damian Sercombe, Aner Shalev
Recently there has been considerable interest in studying the length and the depth of finite groups, algebraic groups and Lie groups. In this paper we introduce and study similar n…