Totally synchronizing generated system

‎‎We introduce the notion of a minimal generator G for the coded system X; that is a generator for coded system X whenever u \in G‎, ‎then u \not \in W(\overline{})‎. ‎Such an X is called \emph{minimally‎ ‎generated system}‎. ‎We ‎aim ‎to‎ introduce a class of minimally‎ ‎generated subshifts generated by some certain synchronizing blocks‎. ‎These systems are precisely the tool that will enable us to show that for such subshifts X‎, ‎each x \in X‎‎ can be written uniquely as‎ x=\ldots v_{-۱}v_{۰}v_۱v_۲\ldots, where \{\ldots‎ ,‎v_{-۱},v_{۰},v_۱,v_۲,\ldots\}\in G.‎‎‎‎‎‎ ‎Shows that the converse of that proposition isn't necessarily true‎.‎ {\color{red}‎ ‎‎‎‎‎‎We will show which of the components of the Kreiger graph of such a subshift could be a candidate to be suitable for a Fischer cover‎.‎‎‎‎‎ }

کلیدواژه ها:

‎coded system‎ ، Strong synchronizing‎ ، ‎minimal generator