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Centers of centralizer nearrings determined by All endomorphisms of symmetric groups | ||
| Journal of Algebra and Related Topics | ||
| دوره 10، شماره 2، اسفند 2022، صفحه 13-26 اصل مقاله (312.02 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2022.21398.1357 | ||
| نویسندگان | ||
| S. Butzman1؛ G. A. Cannon* 2؛ M. A Paz1 | ||
| 1Department of Mathematics, Southeastern Louisiana University, Hammond, United States | ||
| 2Department of Mathematics Southeastern Louisiana University Hammond, United States | ||
| چکیده | ||
| For $n = 5, 6$ and $E = \End S_n$, the functions in the centralizer nearring $M_E(S_n) = \{f : S_n \to S_n \ |\ f(1) = (1) \ \hbox{and} \ f \circ s = s \circ f \ \hbox{for all}\ s \in E\}$ are determined. The centers of these two nearrings are also described. Results that can be used to determine the functions in $M_E(S_n)$ and their centers for $n \geq 7$ are also presented. | ||
| کلیدواژه‌ها | ||
| centralizer nearring؛ symmetric group؛ center؛ outer automorphism | ||
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آمار تعداد مشاهده مقاله: 601 تعداد دریافت فایل اصل مقاله: 278 |
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