l-群的极大下子群

Maximal Below Subgroups of a Lattice-Ordered Group

中文关键词:  l-群  极大下子群  正规值l-群  特殊值l-群  有限值l-群

英文关键词:l-group  maximal below subgroup  normal-valued l-group  special-valued l-group  finite-valued l-group

中文摘要:

      在非正规值的条件下,给出l-群极大下子群的唯一表达形式,由此推广[1]中的一个结果.与此同时,建立了正规值l-群,特殊值l-群及有限值l-群之间等价的一个充要条件.

英文摘要:

      The unique form of maximal below subgroups is given for non normal-valued l-group in this paper. In addition, a sufficient and necessary condition on equivalence among normal-valued l-groups, special-valued l-groups and finite-valued l-groups is obtained.