单词semigroup
un.: 半群组
复数：semigroups
Finally, sufficient and necessary conditions for a fuzzy good congruence on an adequate semigroup to be idempotent-separated are proved.
最后，得到了适当半群上的模糊好同余为幂等可分的充要条件。
In this paper we introduce the notion of a normal fuzzy left(resp. right) ideal in a semigroup , and investigate some of its properties.
本文引入了半群的正规左（右）模糊理想的概念，研究了这类模糊理想的性质。
Existence of product in semigroup category is proved, and semigroup category to be concrete category is also proved.
给出了半群范畴的概念，证明了半群范畴中积是存在的，并且半群范畴是具体范畴。
A semigroup is said to be periodic if all of its elements are of finite order.
半群被称为周期性的，如果所有它的元素有着有限次序。
A semigroup generated by a single element is said to be monogenic (or cyclic ).
被一个单一元素生成的半群叫做单基因的（或循环的）。
In this peper necessary and sufficient conditions for the semidirect products and wreath products of two semigroup are given.
给出了两个半群的半直积和圈积为左群的充分必要条件以及半直积的结构。
This paper is a further effort to investigate the irreducibility of this semigroup.
文中将进一步讨论该半群的性质，证明该半群是不可约的。
In the meantime, it is proved that each orthodox semigroup with an inverse transversal can be constructed in this way.
同时证明了每个具有逆断面的纯正半群都可以如此构造。
proves that quotient category of free S-category is equivalent to the skew category with semigroup action.
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。
In this paper, we introduce the notion of fuzzy ideals, fuzzy congruence relations on a semigroup.
证明了一个半群上所有模糊同余关系作成一个格。