Groups in the class semigroups of valuation domains
Groups in the class semigroups of valuation domains
复制标题
评估域类半群中的群
DOI：
10.1007/bf02761037
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发表时间：
1996
影响因子：
1
通讯作者：
L. Salce
中科院分区：
文献类型：
--
作者：
S. Bazzoni;L. Salce
证明了估价域理想的同构类构成了一个Clifford半群，并研究了该半群的结构。这个克利福德半群的群组成部分正是全序完全交换群（模稠密子群）的商。给出了这些群的表征，并在给出全序群的骨架时证明了一些实现结果。
It is shown that the isomorphy classes of the ideals of a valuation domain form a Clifford semigroup, and the structure of this semigroup is investigated. The group constituents of this Clifford semigroup are exactly the quotients of totally ordered complete abelian groups, modulo dense subgroups. A characterization of these groups is obtained, and some realization results are proved when the skeleton of the totally ordered group is given.