| 摘要: |
| 在本文中, 引入了幂等元的$\omega^{2}$-链及广义Bruck-Reilly扩张, 利用这种扩张, 获得了正则双单$\omega^{2}$-半群的结构定理. |
| 关键词: $\omega^{2}$-链 广义Bruck-Reilly扩张 $\omega^{2}$-半群. |
| DOI： |
| 分类号:O152.7 |
| 基金项目: |
|
| Regular Bisimple $\omega^2$-Semigroups |
|
wanglimin1, shangyu2
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|
1.School of Mathematics, South China Normal University,;2.Puer University
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| Abstract: |
| In this paper, the $\omega^{2}$-chain of idempotent elements and generalized Bruck-Reilly extension are introduced, using the extension, the structure theorem of regular bisimple $\omega^{2}$-semigroups is obtained. |
| Key words: $\omega ^{2}$-chain, generalized Bruck-Reilly extension,$\omega ^{2}$-semigroup. |
