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   totally synchronizing generated system  
   
نویسنده shahamat manouchehr ,ganjbakhsh sanatee ali
منبع caspian journal of mathematical sciences - 2024 - دوره : 13 - شماره : 1 - صفحه:38 -48
چکیده    ‎‎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_{-1}v_{0}v_1v_2ldots, where {ldots‎ ,‎v_{-1},v_{0},v_1,v_2,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 ‎coded system‎ ,strong synchronizing‎ ,minimal generator
آدرس ‎islamic azad university‎, dezful branch, department of mathematics, iran, quchan university of technology, faculty of mathematical sciences, department of mathematics, iran
پست الکترونیکی a.ganjbakhsh@qiet.ac.ir
 
     
   
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