论文标题
采取措施和行动的可取性和行动能力
Pentactions and action representability in the category of reduced groups with action
论文作者
论文摘要
引入了类别中的任何对象的概念$ \ mathbf {rgr}^{\ bullet} $带有动作的减少组的概念。该操作是在“ $ \ MATHSF {pETARCACT}（a）$ a $ a $ of $ \ mathbf {rgr}^{\ bullet} $的$ a $ a $ a $ a $ a $ a $ a $的$ a {\ bulter} $中定义的。可以证明，如果在本文定义的含义上，$ a $在零弱稳定剂中是完美的，则$ \ m m i \ m m ivalsf {pentact}（a）$是$ \ mathbf {rgr}^{rgr}^{\ bullet}的对象$ a $。
A notion of pentaction of any object in the category $\mathbf{rGr}^{\bullet}$ of reduced groups with action is introduced. The operations are defined in the set $\mathsf{Pentact}(A)$ of pentactions of an object $A$ of $\mathbf{rGr}^{\bullet}$. It is proved that if an object $A$ is perfect with zero weak stabilizer in the sense defined in the paper, then $\mathsf{Pentact}(A)$ is an object of $\mathbf{rGr}^{\bullet}$, it has a derived action on $A$, the object $A$ is action representable and $\mathsf{Pentact}(A)$ represents all actions on $A$.
