Projective covers over local rings

被引:2
作者
Ercolanoni, Sofia [1 ]
Facchini, Alberto [1 ]
机构
[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, I-35121 Padua, Italy
关键词
Projective cover; Local ring; Minimal set of generators; WEAKLY BASED MODULES;
D O I
10.1007/s10231-021-01095-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We describe the structure of the projective cover of a module M-R over a local ring R and its relation with minimal sets of generators of M-R. The behaviour of local right perfect rings is completely different from the behaviour of local rings that are not right perfect.
引用
收藏
页码:2631 / 2644
页数:14
相关论文
共 23 条
  • [1] Bass H., 1960, T AM MATH SOC, V95, P466, DOI 10.1090/S0002-9947-1960-0157984-8
  • [2] CHWE BS, 1971, J LOND MATH SOC, V4, P374
  • [3] ON EXTENSION OF LINEARLY INDEPENDENT SUBSETS OF FREE MODULES TO BASES
    CHWE, BS
    NEGGERS, J
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (03) : 466 - &
  • [4] Dlab V., 1961, J LOND MATH SOC, V36, P139
  • [5] Facchini A., 2020, COVERING CLASSES UNI
  • [6] Facchini A., 1998, PROGR MATH 167 MODER
  • [7] RINGS WHOSE PROPER FACTORS ARE RIGHT PERFECT
    Facchini, Alberto
    Parolin, Catia
    [J]. COLLOQUIUM MATHEMATICUM, 2011, 122 (02) : 191 - 202
  • [8] Fuller K.R., 1992, GRADUATE TEXTS MATH, V13
  • [9] On the existence of weak bases for vector spaces
    Herden, Daniel
    Hrbek, Michal
    Ruzicka, Pavel
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 501 : 98 - 111
  • [10] Hrbek, 2013, THESIS U KARLOVA PRA