group object

名词 n.
中文释义

英文释义

名词 n.
  1. Given a category C, any object X ∈ C on which morphisms are defined corresponding to the group theoretic concepts of a binary operation (called multiplication), identity and inverse, such that multiplication is associative and properties are satisfied that correspond to the existence of inverse elements and the identity element.
    — If H is another group object in C, a morphism f#58;G#92;rightarrowH is a morphism of group objects if it commutes with the three structure morphisms; as is standard for sets and true generally (again by Lemma 7.7), it is enough to check #92;mu. Thus we form the category #92;textit#123;Gp#125;(C) of all group objects in C; one important example is #92;textit#123;Gp#125;(#92;textit#123;Ho#125;).

词形变化

group objects plural
0 次浏览 数据来源: Wiktionary