52 citations · 217 across the 45 of their papers we have counts for
Showing 2009 · math.RAShow all
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math.RA2009★ 4 cited
Homomorphic images of pro-nilpotent algebras
George M. Bergman
It is shown that any finite-dimensional homomorphic image of an inverse limit of nilpotent not-necessarily-associative algebras over a field is nilpotent. More generally, this is t…
math.RA2009★ 9 cited
Linear maps on k^I, and homomorphic images of infinite direct product algebras
George M. Bergman, Nazih Nahlus
Let k be an infinite field, I an infinite set, V a k-vector-space, and g:k^I\to V a k-linear map. It is shown that if dim_k(V) is not too large (under various hypotheses on card(k)…
math.RA2009★ 21 cited
Homomorphisms on infinite direct product algebras, especially Lie algebras
George M. Bergman, Nazih Nahlus
We study surjective homomorphisms f:\prod_I A_i\to B of not-necessarily-associative algebras over a commutative ring k, for I a generally infinite set; especially when k is a field…