• 제목, 요약, 키워드: strongly torsion-free dimension

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STRONGLY COTORSION (TORSION-FREE) MODULES AND COTORSION PAIRS

  • Yan, Hangyu
    • 대한수학회보
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    • v.47 no.5
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    • pp.1041-1052
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    • 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.