| Construction of the Above and Below Subgroups and Saturated Subgroups of l-groups |
| Received:August 11, 1990 |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1993.01.022 |
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