Lattices Induced by Modular Pull-back Exact Categories

被引：0

作者：

Li, Demei ^{[1
]}

Xin, Lin ^{[1
]}

机构：

[1] Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2012年 / 19卷 / 04期

基金：

中国国家自然科学基金;

关键词：

exact category; modular lattice; pull-back; push-out;

D O I：

10.1142/S1005386712000594

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notion of a modular pull-back exact category, study modular lattices ((sic), boolean OR, boolean AND) and ((sic), boolean OR, boolean AND) on the skeletally small modular pull-back exact category (C, E) and show that there is an isomorphism between these two lattices. We also study short exact sequences of lattices induced by E-exact sequences.

引用

页码：713 / 726

页数：14

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