Projective modules over polyhedral semirings

被引：3
|
作者：
Macpherson, Andrew W. [1 ]
机构：
[1] Univ Tokyo, Inst Adv Study, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
来源：
JOURNAL OF ALGEBRA | 2019年 / 518卷
关键词：
Projectivity; Flatness; Polyhedra; Idempotent semirings; S-acts;
D O I：
10.1016/j.jalgebra.2018.09.041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
I classify projective modules over idempotent semirings that are free on a monoid. The analysis extends to the case of the semiring of convex, piecewise-affine functions on a polyhedron, for which projective modules correspond to convex families of weight polyhedra for the general linear group. (C) 2018 The Author. Published by Elsevier Inc.
引用
收藏
页码：237 / 271
页数：35
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