Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2019.01.010
Abstract: Let A be a finite dimensional algebra over an algebraically closed field with the radical nilpotent of index 2. It is shown that A has finitely many conjugacy classes of left ideals if and only… read more here.
Keywords: finite representation; finitely many; many conjugacy; classes left ... See more keywords
A metric minimal PI cascade with $2^{\mathfrak{c}}$ minimal ideals
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.78
Abstract: We first improve an old result of McMahon and show that a metric minimal flow whose enveloping semigroup contains less than $2^{\mathfrak{c}}$ (where $\mathfrak{c}=2^{\aleph _{0}}$) minimal left ideals is proximal isometric (PI). Then we show… read more here.
Keywords: minimal left; cascade; left ideals; metric minimal ... See more keywords