Weak factorization systems for S-acts

被引:3
|
作者
Bailey, Alex [1 ]
Renshaw, James [1 ]
机构
[1] Univ Southampton, Dept Math, Southampton SO17 1BJ, Hants, England
关键词
Semigroups; Monoids; S-acts; Covers; Weak factorization systems; Flatness; MONOIDS; AMALGAMATION; SEMIGROUPS; COVERS;
D O I
10.1007/s00233-013-9519-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The concept of a weak factorization system has been studied extensively in homotopy theory and has recently found an application in one of the proofs of the celebrated flat cover conjecture, categorical versions of which have been presented by a number of authors including RosickA1/2. One of the main aims of this paper is to draw attention to this interesting concept and to initiate a study of these systems in relation to flatness of S-acts and related concepts.
引用
收藏
页码:52 / 67
页数:16
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