University of Guilan Journal of Algebra and Related Topics 2345-3931 10 2 2022 12 01 Centers of centralizer nearrings determined by All endomorphisms of symmetric groups 13 26 5644 10.22124/jart.2022.21398.1357 EN S. Butzman Department of Mathematics, Southeastern Louisiana University, Hammond, United States G. A. Cannon Department of Mathematics Southeastern Louisiana University Hammond, United States M. A Paz Department of Mathematics, Southeastern Louisiana University, Hammond, United States Journal Article 2021 12 28 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.<br />  https://jart.guilan.ac.ir/article_5644_d5745814c262e273f4990719e3c6b539.pdf