7 papers
Residual profiles and bounded generation in pro- completions of amalgamated products
Dekui Peng, Jiang Yang
This paper completely classifies when the pro- completion of an amalgamated product has bounded generation, assuming its starting vertex groups are already boundedly generated.…
Filter-induced linear topologies on residuated lattices: Hausdorffness, profiniteness, and finiteness conditions
Jiang Yang, Pengfei He, Juntao Wang
We study linear topologies on residuated lattices generated by systems of filters, with emphasis on the uniform structures and separation properties that they determine. A down-dir…
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…
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…
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…
Pseudocompact Topological \(MV\)-Algebras
Li-Hong Xie, Jiang Yang
Recently, topological MV-algebras have been investigated by several mathematicians. In this paper, we find that every topological \(MV\)-algebra is a Mal'tsev space introduced by M…