The paper deals monoids over which the class of all injective S-acts is primitive normal and primitive connected. The following results are proved: the class of all injective acts over any monoid is primitive normal; the class of all injective acts over a right reversible monoid S is primitive connected iff S is a group; if a monoid S is not a group and the class of all injective acts is primitive connected, then a maximal (w.r.t. inclusion) proper subact of SS is not finitely generated.

中文翻译：

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注入 S-Acts 类的原始正态性和原始连通性

该论文讨论了幺半群，其中所有单射 S-acts 的类都是原始正规和原始连通的。证明了以下结果：对任何幺半群的所有单射行为的类是本原正规；右可逆幺半群 S 上的所有单射作用的类是原始连通的，当当 S 是一个群；如果幺半群 S 不是群并且所有单射行为的类都是原始连接的，那么 SS 的最大（wrt 包含）真子行为不是有限生成的。