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Centers of centralizer nearrings determined by inner automorphisms of symmetric groups | ||
| Journal of Algebra and Related Topics | ||
| دوره 8، شماره 1، شهریور 2020، صفحه 51-65 اصل مقاله (315.74 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2020.14757.1171 | ||
| نویسندگان | ||
| M. Boudreaux؛ G. Cannon؛ K. Neuerburg* ؛ T. Palmer؛ T. Troxclair | ||
| Department of Mathematics, Southeastern Louisiana University, Hammond, LA, 70402, USA. | ||
| چکیده | ||
| The question of identifying the elements of the center of a nearring and of determining when that center is a subnearring is an area of continued research. We consider the centers of centralizer nearrings, $M_I(S_n)$, determined by the symmetric groups $S_n$ with $n \geq 3$ and the inner automorphisms $I = Inn\ S_n$. General tools for determining elements of the center of $M_I(S_n)$ are developed, and we use these to list the specific elements in the centers of $M_I(S_4)$, $M_I(S_5)$, and $M_I(S_6)$. | ||
| کلیدواژه‌ها | ||
| Centralizer nearring؛ center؛ inner automorphisms؛ symmetric groups | ||
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