QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS

doi:10.1016/S0252-9602(12)60156-8

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (5): 2010-2020.doi: 10.1016/S0252-9602(12)60156-8

QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS

Mohammad Akbari Tootkaboni

Department of Mathematics, Faculty of Science, Shahed University, 18151-159, Tehran, Iran

收稿日期:2011-05-11 修回日期:2012-03-18 出版日期:2012-09-20 发布日期:2012-09-20

QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS

Mohammad Akbari Tootkaboni

Department of Mathematics, Faculty of Science, Shahed University, 18151-159, Tehran, Iran

Received:2011-05-11 Revised:2012-03-18 Online:2012-09-20 Published:2012-09-20

摘要/Abstract

摘要：

The left multiplicative continuous compactification is the universal semigroup compactification of a semitopological semigroup. In this paper an internal construction of a quotient space of the left multiplicative continuous compactification of a semitopological semigroup is constructed as a space of z-filters.

关键词: LMC-compactification, z-filters, quotient space

Abstract:

Key words: LMC-compactification, z-filters, quotient space

中图分类号:

22A15

Mohammad Akbari Tootkaboni. QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS[J]. 数学物理学报(英文版), 2012, 32(5): 2010-2020.

Mohammad Akbari Tootkaboni. QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS[J]. Acta mathematica scientia,Series B, 2012, 32(5): 2010-2020.

QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS

QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS

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