1) 0-categorical semigroup
0-范畴半群
2) categorical semigroup
范畴半群
3) semigroup-graded category
半群分次范畴
1.
For Smash product of semigroup-graded category,we prove that the quotient category(C#S)/S of Smash product C#S of semigroup S graded category C is isomorphic to category C,and the Smash product category(B/S)#S of the quotient category B/S of free semigroup S category B is isomorphic to category B when S is a cancellative semigroup with identity 1.
从而说明半群分次范畴的Smash积与自由半群作用范畴的商在半群分次范畴和自由半群作用范畴之间是互逆的结构。
4) skew category with semigroup action
斜半群作用范畴
1.
Introduces the definition of Galois covering of free S-category and skew category with semigroup action,discusses their properties;proves that quotient category of free S-category is equivalent to the skew category with semigroup action.
设S为有单位元1的半群,引入并讨论了自由半群作用的Galois盖和斜半群作用范畴的概念及性质,证明了自由半群作用范畴的商范畴与斜半群作用范畴是等价的。
5) .E-unitary categorical inverse semigroup
E~*-酉范畴逆半群
6) The category of regular semigroups
正则半群范畴
补充资料：群
| 群 groups 只具有一个二元运算的抽象代数结构，数学概念之一。与环和域一样，群也是用抽象的方式定义的，但比较简单，只要具有乘法及单位元(或加法及零元)与乘法(或加法)交换律和结合律的集合就可构成群。群论的方法导致有子原子和分子结构的发现。群论已是量子物理学和量子化学的常用工具。 |
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参考词条