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| 弱交换富足序半群(Ⅰ) | |
| 引用本文： | 高振林.弱交换富足序半群(Ⅰ)[J].数学学报,2001,44(4):693-700. |
| 作者姓名： | 高振林 |
| 作者单位： | 上海市扬浦区教育学院 |
| 摘 要： | 本文将序半群上的 Ｇｒｅｅｎ’ｓ－关系推广为 Ｇｒｅｅｎ’ｓ＊一关系．给出主序（左、右）＊－理想、主序＊－滤特征描述和弱交换富足序半群的特征．用这些特征证明了一类弱交换富足序半群的结构定理：若序半群Ｓ满足 ，则Ｓ是弱交换富足序半群当且仅当Ｓ是左（右）单序半群｛（ｅ）（Ｓ）｝的半格． |
| 关 键 词： | Green’s*-关系 弱交换富足序半群 主序*-理想(滤) 序半格同余 左(右)单序半群半格 |
| 文章编号： | 0583-1431(2001)01-0693-08 |
| 修稿时间： | 1999年4月14日 |
On Weakly Commulation Abundant Po-Semigroups (Ⅰ) |
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| GAO Zhen Lin.On Weakly Commulation Abundant Po-Semigroups (Ⅰ)[J].Acta Mathematica Sinica,2001,44(4):693-700. | |
| Authors: | GAO Zhen Lin |
| Institution: | GAO Zhen Lin (Yangpu College of Education ,Shanghai 200093, P. R. China) |
| Abstract: | Green's *-relations on po-semigroups and abundant po-semigroups are introduced and studied. By using these results, we show that the structure theorem of weakly commutative abundant po-semigroups as follows: If N then S is a weakly commutative abundant po-semigroup if and only if S is a semilattice of left (resp. right) simple semigroups {(e)), for some (s), |
| Keywords: | Green's -relations Weakly commutative abundant po-semigroups Principal ordered *-ideals (or filters) Ordered semilattice Semilattice of left (resp right) simple po-semigroups |
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