| 1. | Firstly , this paper introduces the new concepts of locally conditional upper semilattice ( in short , l - cusl ) and its ideal completion
本文首先引入局部条件并半格(简记为l - cusl )及其理想完备化等概念。 |
| 2. | Aim in order to prove a semiring whose additive reduct is a semilattice and multiplicative reduct is a inverse semigroup to be a distributive lattice
摘要目的求证加法导出是半格、乘法导出是逆半群的半环成为分配格的充要条件。 |
| 3. | Besides the study of general semigroup , the strong semilattice of inverse semigroups , bands , and normal bands are discussed . the main results are given in follow
除了对一般半群的研究，本文还对逆半群、带、正规带的强半格作了相关问题的讨论。 |
| 4. | Consequently , the class pc of the p lus cupping computably enumerable degrees is not an ideal of ? the upper semilattice of the computably enumerable degrees
因此所有加杯可计算枚举度组成的集合pc不是的理想，这里是所有可计算枚举度构成的上半格。 |
| 5. | Theorem 3 . 6 s is a direct product of an additive left normal d - idempotent semiring and a ring , if and only if 5 is a pseudo - strong lattice idempotent semiring of left rings
定理3 6s是加法左正规d一幂等半环和环的直积，当且仅当s是左环的伪强半格幂等半环 |
| 6. | Theorem 1 . 3 . 3 5 is an a - idempotent semiring , then 5 is a normal idem - potent semiring , if and only if s is a strong semilattice idempotent semiring of rectangular idempotent semirings
定理j设s是人一幂等半环，则s是正规幂等半环，当且仅当s是矩形幂等半环的强半格幂等半环 |
| 7. | Finally , we show that is a semilattice of groups congru - ence if and only if ( na ) u is a seminormal subsemigroup on 5 , where pna is a group congruence on the semilattice congruence class sa of 5
在这一章的最后文章绪出了半群s上的半格同燃so上的群同余pno的并i ’ upe成为s上的群的半格同余的充分必要条件为u （ na切oeyoey是s的半正规子半群 |
| 8. | In the second chapter , we give the description of the least group congruence on a - regular semigroup s . in the third chapter , we describe the group congruences on a semigroup s and construct the semilattice of groups congruence on it
本文的第三章对一般半群上的群同余作了描述，并且对其群的半格同余进行了构造。在对群同余的描述中，事实上是把d |
| 9. | In this paper , we first proved that those three weights about continuous domains are equal . after this , the definitions of local basis and character on continuous domains are given and some characteristic theorems of them are discussed
Domain方面将给出一些基本的定义如定向集、定向完备集、连续domain 、连续domain的基、完备半格、局部完备格等，以及连续domain上的重要拓扑? ? scott拓扑和lawson拓扑 |
| 10. | In this dissertation , we characterize the congruences on a strong semilattice of semigroups by the congruences on those semigroups and prove that a sublattice of the direct product of the lattices of congruences on those semigroups is isomorphic to a sublattice of the lattice of congruences on the strong semilattice of semigroups
本文，我们主要利用一族半群上的同余刻划其强半格上的同余，并讨论这族半群的同余格的直积的子格与其强半格上的同余子格的关系。 |
