2 papers
math.RA2022
Bernstein algebras that are algebraic and the Kurosh problem
Dmitri Piontkovski, Fouad Zitan
We study the class of Bernstein algebras that are algebraic, in the sense that each element generates a finite-dimensional subalgebra. Every Bernstein algebra has a maximal algebra…
math.RA2018
On Bernstein algebras satisfying chain conditions II
Fouad Zitan
Following a previous work with Boudi, we continue to investigate Bernstein algebras satisfying chain conditions. First, it is shown that a Bernstein algebra with ascending…