3 papers
math.GR2026
A Reversibility Characterization of Locally Finite Groups by Cellular Automata
Jiang Yang
For cellular automata over finite alphabets, bijectivity already implies reversibility. Over infinite alphabets this implication may fail, and the remaining obstruction in the peri…
math.GN2026
Closed Image Characterizations of Locally Finite Groups via Cellular Automata
Jiang Yang
We prove that a group is locally finite if and only if, for some (equivalently, every) infinite set , every cellular automaton has closed image in the prodiscre…
math.GN2026
Quotient homomorphisms of Topological MV-Algebras and Applications
Li-Hong Xie, Jiang Yang
For a topological group, the quotient map modulo a subgroup is open and the quotient map modulo a compact subgroup is perfect. In this paper we prove and develop the corresponding…