@article {
author = {Walls, G.},
title = {Centralizer nearrings},
journal = {Journal of the Iranian Mathematical Society},
volume = {3},
number = {1},
pages = {11-21},
year = {2022},
publisher = {Iranian Mathematical Society},
issn = {2717-1612},
eissn = {2717-1612},
doi = {10.30504/jims.2022.362376.1074},
abstract = {Suppose that $(G,+)$ is a group (possibly nonabelian) and that $X$ is a submonoid of the monoid of all endomorphisms of $G$ under the operation of composition of functions, $({\rm End}~{G}, \circ)$. We define the $X$-centralizer nearring of $G$ by $X$ by saying that $M_X(G):=\{ f:G \to G \mid f(0_G)=0_G \text{ and } f \circ \alpha=\alpha \circ f \text{ for all } \alpha \in X \}$. This set of functions, $M_X(G)$, is a nearring under the ``usual" operations of function ``addition" and ``composition" of functions. This paper investigates how centralizer nearrings can be defined and investigates their ideals when $X$ is a group of automorphisms.},
keywords = {nearings,automorphisms,Ideals},
url = {https://jims.ims.ir/article_162441.html},
eprint = {https://jims.ims.ir/article_162441_433cef8ba62bad306c8dc4978d474b53.pdf}
}