A structure theory of automata characterized by groups

A Fractal Non-Contracting Class of Automata Groups

Amenability of groups and semigroups characterized by‎ ‎configuration

In 2005, A. Abdollahi and A. Rejali, studied the relations betweenparadoxical decomposition and configuration for semigroups. In thepresent paper, we introduce one other concept of amenability typeon semigroups and groups which includes amenability of semigroupsand inner-amenability of groups. We have extend the previous knownresults to semigroups and groups satisfying this concept.

Groups defined by automata

Finite automata have been used effectively in recent years to define infinite groups. The twomain lines of research have as their most representative objects the class of automatic groups (in-cluding word-hyperbolic groups as a particular case) and automata groups (singled out among themore general self-similar groups).The first approach implements in the language of automat...

Cloud modeling of quasi - order groups on general fuzzy automata

In this paper, first a simplified version of a general fuzzy automaton with a fixed c is defined and then a subepisode of a simplified version of a general fuzzy automaton with a constant c is defined and explained connected and strong connected them, and finally, a model of quasi-order hypergroup on general fuzzy automaton with constant c is presented and the relationships between them are rev...

A new view on fuzzy automata normed linear structure spaces

In this paper, the concept of fuzzy automata normed linear structure spaces is introduced and suitable examples are provided. ;The ;concepts of fuzzy automata $alpha$-open sphere, fuzzy automata $mathscr{N}$-locally compact spaces, fuzzy automata $mathscr{N}$-Hausdorff spaces are also discussed. Some properties related with to fuzzy automata normed linear structure spaces and fuzzy automata $ma...