• Title, Summary, Keyword: strongly torsion-free dimension

Search Result 1, Processing Time 0.023 seconds

STRONGLY COTORSION (TORSION-FREE) MODULES AND COTORSION PAIRS

  • Yan, Hangyu
    • Bulletin of the Korean Mathematical Society
    • /
    • v.47 no.5
    • /
    • pp.1041-1052
    • /
    • 2010
  • In this paper, strongly cotorsion (torsion-free) modules are studied and strongly cotorsion (torsion-free) dimension is introduced. It is shown that every module has a special $\mathcal{SC}_n$-preenvelope and an ST $\mathcal{F}_n$-cover for any $n\;{\in}\;\mathbb{N}$ based on some results of cotorsion pairs from [9]. Some characterizations of strongly cotorsion (torsion-free) dimension of a module are given.