郑熙强.格序群的上下子群和Saturated子群的构造[J].数学研究及应用,1993,13(1):103~106
格序群的上下子群和Saturated子群的构造
Construction of the Above and Below Subgroups and Saturated Subgroups of l-groups
投稿时间:1990-08-11  
DOI:10.3770/j.issn:1000-341X.1993.01.022
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郑熙强 南昌航空工业学院基础一部 
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中文摘要:
      本文对[1]中关于极大上下对的公开问题给出否定的回答并构造了例子说明[2]中命题2.1证明过程中的错误;研究了saturated子群的构造,得到了任意ι-群的正交子集生成的saturated子群以及投射ι—群的任一子集生成的saturated子群的具体形式.
英文摘要:
      In this paper, an open question on maximal above and below pairs is answered nega-tively and an example is given to show the incorrectness of the proof for Proposition 2.1 in [2]. Furthermore, the construction of saturated subgroup is discussed. The forms of the saturated subgroup generated by a disjoint subset in an l-group and the saturated subgroup generated by any subset in a projectable l-group are determined.
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