21 citations · 30 across the 4 of their papers we have counts for
5 papers
Projective Limits and Ultraproducts of Nonabelian Finite Groups
Nazih Nahlus, Yilong Yang
Groups that can be approximated by finite groups have been the center of much research. This has led to the investigations of the subgroups of metric ultraproducts of finite groups…
F-Noetherian Rings and Skew Quantum Ring Extensions
Nazih Nahlus
A ring R shall be called F-noetherian if every finite subset of R is contained in a (left and right) noetherian subring of R . For example, every commutative ring is tightly F-noet…
Commutators and Cartan subalgebras in Lie algebras of compact semisimple Lie groups
Joseph Malkoun, Nazih Nahlus
First we give a new proof of Goto's theorem for Lie algebras of compact semisimple Lie groups using Coxeter transformations. Namely, every in can be…
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)…
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…