论文标题
关于动作可访问和弱势代表类别之间关系的注释
A note on the relationship between action accessible and weakly action representable categories
论文作者
论文摘要
本文的主要目的是表明已知含义的相反弱的作用表示可访问的动作是错误的。特别是，我们表明，动作可访问性以及需要所有正常化器存在的（至少正式更强的）条件（即使对于品种，都不意味着弱势代表性。此外，我们表明，与动作可访问性和需要所有归一化剂存在的条件相比，弱势表示性不一定是Birkoff子类别继承的。
The main purpose of this paper is to show that the converse of the known implication weakly action representable implies action accessible is false. In particular we show that both action accessibility, as well as the (at least formally stronger) condition requiring the existence of all normalizers do not imply weakly-action-representability even for varieties. In addition we show that in contrast to both action accessibility and the condition requiring the existence of all normalizers, weakly-action representability is not necessarily inherited by Birkoff subcategories.
