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
来源：
SEMIGROUP FORUM | 2014年 / 89卷 / 01期
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
相关论文
共 50 条
  • [31] Connected objects in categories of S-acts
    Josef Dvořák
    Jan Žemlička
    Semigroup Forum, 2022, 105 : 398 - 425
  • [32] S-ACTS WITH FINITE LENGTH ON CONGRUENCES
    Gholipour, Davood
    Barzegar, Hasan
    Rasouli, Hamid
    Tehranian, Abolfazl
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, 86 (01): : 17 - 28
  • [33] Minimal Quasi Injective S-Acts
    Abdul-Kareem, Shaymaa Amer
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2020, 15 (02): : 515 - 524
  • [34] Injectivity in the category of measurable S-acts
    Hezarjaribi, Masoomeh
    Habibi, Zohreh
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (09)
  • [35] A NOTE ON S-ACTS AND BOUNDED LINEAR OPERATORS
    Kadhim, Samira Naji
    Ali, Muna Jasim Mohammed
    Atiya, Zainab Abed
    Italian Journal of Pure and Applied Mathematics, 2018, 39 : 16 - 22
  • [36] Axiomatizability of the class of weakly injective S-acts
    E. L. Efremov
    A. A. Stepanova
    Siberian Mathematical Journal, 2017, 58 : 611 - 618
  • [37] Chain conditions on (Rees) congruences of S-acts
    Khosravi, Roghaieh
    Roueentan, Mohammad
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (05)
  • [38] Axiomatizability of the class of weakly injective S-acts
    Efremov, E. L.
    Stepanova, A. A.
    SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (04) : 611 - 618
  • [39] Morita theory for the category of fuzzy S-acts
    School of Mathematical Sciences, Shandong Normal University, Jinan
    250014, China
    IAENG Int. J. Comput. Sci., 1 (54-58):
  • [40] Perfect monoids with zero and categories of S-acts
    Dvorak, Josef
    Zemlicka, Jan
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (07) : 3066 - 3073
12345