本文第一节给出了广义幂级数环(特别是幺半群环)的零因子图的基本性质。
In this paper, we firstly discuss the property of zero-divisor graph of rings of generalized power series in section 1.
本文证明了，任意有限半群均含循环子群。利用此结果，就能容易地导出环论中的一些定理。
In this paper, it is proved that any finite semigroup can contain cycle subgroup, Witn this result, some theorems in ring theory are induced easily.
同时对盟定义了盟模，并证明了对部分半群g，所有G -盟作成的范畴与所有G -分次环作成的范畴是同构的。
It is proved that for a partial semigroup g, the category of G-unions and the category of G-graded rings are isomorphic.
本文定义了有核半群的局部幂零根，并证明了与环相近的一些性质。
In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.
类似于群分次环和群分次模的定义，定义了部分半群分次环和部分半群分次模。
Similar to group graded rings and modules, partial semigroup graded rings and modules are defined.
轰杀单体目标或小群目标相对简单，但强大存在(例如半神或更强的实体)或另一件高等神器则超出了“灭灵之环”的能力极限。
It is relatively easy to nullify a single target or a small group of targets, but a more powerful being (such as a demigod or greater entity) or another major artifact taxes the Annulus to its limits.
轰杀单体目标或小群目标相对简单，但强大存在(例如半神或更强的实体)或另一件高等神器则超出了“灭灵之环”的能力极限。
It is relatively easy to nullify a single target or a small group of targets, but a more powerful being (such as a demigod or greater entity) or another major artifact taxes the Annulus to its limits.
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