孔祥智,袁志玲.群的正则带的拟强半格分解[J].数学研究及应用,2005,25(1):154~160 |
群的正则带的拟强半格分解 |
Quasi Strong Semilattice Decomposition of Regular Cryptogroups |
投稿时间:2002-12-24 |
DOI:10.3770/j.issn:1000-341X.2005.01.023 |
中文关键词: 拟强半格分解 正则带 同余 |
英文关键词:quasi strong semilattice decomposition regular band congruence |
基金项目:曲阜师范大学青年基金(XJ02003,XJ03004) |
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中文摘要: |
推广了半群的强半格分解的定义,得到了半群的拟强半格分解,并证明了完全正则半群为群 的正则(或右拟正规)带当且仅当它是完全单半群的拟强半格(且L|Sβ?ρα,β(?α,β∈Y, α≥β)) |
英文摘要: |
The definition of strong semilattice decomposition of semigroups is generalized, the definition of quasi strong semilattice decomposition of semigroups is given, and we prove that a completely regular semigroup is a regular (or right quasinormal) cryptogroup if and only if it is a quasi strong semilattice of completely simple semigroups (also satisfies L|Sβ?ρα,β(?α,β∈Y, α≥β)). |
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