| 半格序Clifford半群 |
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| 引用本文： | 邵勇,赵宪钟. 半格序Clifford半群[J]. 数学进展, 2010, 0(1) |
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| 作者姓名： | 邵勇 赵宪钟 |
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| 作者单位： | 西北大学数学系; |
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| 基金项目： | 国家自然科学基金(No.10471112); 陕西省教育厅专项基金(No.07JK413). |
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| 摘 要： | 证明了每一个半格序Clifford半群都能嵌入到其加法半群的半格序自同态半群当中;给出了同余单的半格序Clifford半群所具有的几种形式,得到了自然半格序零群是仅有的次直不可约自然半格序Clifford半群.
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| 关 键 词： | 半格序Clifford半群 同余单的 次直不可约 |
Semilattice-ordered Clifford Semigroups |
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| SHAO Yong,ZHAO Xianzhong. Semilattice-ordered Clifford Semigroups[J]. Advances in Mathematics(China), 2010, 0(1) |
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| Authors: | SHAO Yong ZHAO Xianzhong |
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| Affiliation: | SHAO Yong,ZHAO Xianzhong (Department of Mathematics,Northwest University,Xi'an,Shaanxi,710127,P.R.China) |
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| Abstract: | Every semilattice-ordered Clifford semigroup can be embeded in the semilattice-ordered endomorphism semigroup of its additive reduct.We give the congruence simple semilattice-ordered Clifford semigroups and some characters of them.We also prove that naturally semilattice-ordered zero groups are only subdirectly irreducible naturally semilattice-ordered Clifford semigroups. |
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| Keywords: | semilattice-ordered Clifford semigroup congruence simple subdirectly irreducible |
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