关于同余交换纯正群并的构造与分类

朱聘瑜;高燕玲

数学学报 ›› 1995, Vol. 38 ›› Issue (6)

数学学报 ›› 1995, Vol. 38 ›› Issue (6) DOI: 10.12386/A1995sxxb0098
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关于同余交换纯正群并的构造与分类

    朱聘瑜;高燕玲
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On the Strticture and Classification of Permutable Orthogroups

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摘要

本文讨论同余交换纯正群并的构造与分类。文中将该类半群给出分解方法,指出该类半群是它的左,右分量的织积。接着给出该类半群的完整分类,指出共有20类并给出各类的构造,上述结论还用来讨论同余交换带,文中给出所有29个同余交换带的构造并证明同余交换带都是有限的且元素个数不超过13.

Abstract

In this paper,a decomposition theorem for permutable orthogroups is used to discussthe structure and classification of permutable orthogroups.we proved that there are 20 classesof permutable orthogroups.We prove that there are 29 permutable bands,and every permutableband is finite with elements does not exceed 13.

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/ 同余交换性 / 纯正半群

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朱聘瑜;高燕玲. 关于同余交换纯正群并的构造与分类. 数学学报, 1995, 38(6) https://doi.org/10.12386/A1995sxxb0098
On the Strticture and Classification of Permutable Orthogroups. Acta Mathematica Sinica, Chinese Series, 1995, 38(6) https://doi.org/10.12386/A1995sxxb0098

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