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Totally synchronizing generated system | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 3، دوره 13، شماره 1 - شماره پیاپی 25، 2024، صفحه 38-48 اصل مقاله (145.88 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2023.25757.1664 | ||
| نویسندگان | ||
| Manouchehr Shahamat* 1؛ Ali Ganjbakhsh Sanatee2 | ||
| 1Department of Mathematics, Dezful branch, Islamic Azad University, Dezful, Iran. | ||
| 2Department of Mathematics, Quchan University of Technology, Quchan, Iran. | ||
| تاریخ دریافت: 31 تیر 1402، تاریخ بازنگری: 31 شهریور 1402، تاریخ پذیرش: 01 مهر 1402 | ||
| 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 $x=\ldots v_{-1}v_{0}v_1v_2\ldots$, 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. } | ||
| کلیدواژه‌ها | ||
| Coded system؛ Strong synchronizing؛ Minimal generator | ||
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آمار تعداد مشاهده مقاله: 136 تعداد دریافت فایل اصل مقاله: 115 |
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