| 半群的有限性与同余格的链条件 |
| |
| 引用本文： | 周林芳.半群的有限性与同余格的链条件[J].兰州大学学报(自然科学版),1992,28(4):18-23. |
| |
| 作者姓名： | 周林芳 |
| |
| 作者单位： | 兰州大学数学系 兰州730000 |
| |
| 基金项目： | 高等学校博士学科点专项科研基金，国家自然科学基金 |
| |
| 摘 要： |
|
| 关 键 词： | 半群 半格 同余格 有限性 |
On Finiteness of Semigroups and Chain Conditions on The Lattices of Their Congruences |
| |
| Zhou Linfang.On Finiteness of Semigroups and Chain Conditions on The Lattices of Their Congruences[J].Journal of Lanzhou University(Natural Science),1992,28(4):18-23. |
| |
| Authors: | Zhou Linfang |
| |
| Abstract: | In this paper,we discuss the characterization of finiteness ofSemilattices of rectangular bards of the two special kinds of semi-groups and finiteness of completely O-simple semigroups by chainconditions on the lattices of their congruences.We obtain that a semilatticeof rectangular bands of finite weakly commutative semigroups(finiteinverse semigroups)is finite iff the lattice of its congruences satisfies ACCor DCC.And we also discuss the relation between chain conditions onthe lattice of its congruences and the finiteness of a completely O-simplesemigroup whose sandwish matrix has column(row)normality when it hasn'tany infinite subsemigroups. |
| |
| Keywords: | semigroups semi-lattices lattice ofcongruences finitenes chain conditions |
| 本文献已被 CNKI 维普 等数据库收录！ |
