Abelian lattice-ordered groups and a characterization of the maximal spectrum of a Prufer domain

作者:Rump Wolfgang*
来源:Journal of Pure and Applied Algebra, 2014, 218(12): 2204-2217.
DOI:10.1016/j.jpaa.2014.03.011

摘要

The concept of z-projectable abelian lattice-ordered group is introduced, and it is shown that every such group G can be identified with the group of global sections of a sheaf g with totally ordered stalks on the co-Zariski space Min G of minimal prime ideals. Semi-projectable abelian l-groups are z-projectable, but not vice versa. The sheaves g as well as the spaces Min G arising from abelian l-groups G are characterized completely. Using Hochster duality and the Jaffard-Ohm correspondence, the results are applied to determine the maximal spectrum of a Prufer domain and of a Bezout domain.

  • 出版日期2014-12