In this paper, we study the generalized right near domains and its relations with sharply 2-transitive groups. We find a necessary and sufficient condition when a generalized right near domain is a field. Also, we have found the isomorphism classes of right near domains in a sharply 2-transitive group.

中文翻译：

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广义右近域和锐 2-传递群

在本文中，我们研究了广义右近域及其与锐利的关系。2-传递组。当广义右近域是一个域时，我们找到了一个充要条件。此外，我们还发现了右近域的同构类2-传递群。