有理多面体与具有序单位的射影格序阿贝尔群
Rational polyhedra and projective lattice-ordered abelian groups with order unit
摘要：
l-群G是具有平移不变格序的阿贝尔群。Baker和Beynon证明了G是n-生成的射影当且仅当它是n-表示的.一个单位l-群是一个具有特殊阶单位的l-群G，即，G中的元素u，其正整数倍数最终支配G中的每个元素。当每个n-生成的射影单位l-群都被n-表示时，一般情况下，其逆命题不成立。本文将经典代数拓扑学（a la Whitehead）与环面簇的弱Oda猜想的Wododarczyk-Morelli解相结合，来描述环生成的单位l-群.
英文摘要：
An l-group G is an abelian group equipped with a translation invariant lattice order. Baker and Beynon proved that G is finitely generated projective iff it is finitely presented. A unital l-group is an l-group G with a distinguished order unit, i.e., an element u in G whose positive integer multiples eventually dominate every element of G. While every finitely generated projective unital l-group is finitely presented, the converse does not hold in general. Classical algebraic topology (a la Whitehead) will be combined in this paper with the Włodarczyk-Morelli solution of the weak Oda conjecture for toric varieties, to describe finitely generated projective unital l-groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
