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

页码：237 / 271

页数：35

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