STRONGLY COTORSION (TORSION-FREE) MODULES AND COTORSION PAIRS
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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 SCn-preenvelope and an ST Fn-cover for any n ∈ N based on some results of cotorsion pairs from [9]. Some characterizations of strongly cotorsion (torsion-free) dimension of a module are given.
Abstract
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 SCn-preenvelope and an ST Fn-cover for any n ∈ N based on some results of cotorsion pairs from [9]. Some characterizations of strongly cotorsion (torsion-free) dimension of a module are given.
참고문헌 (15)
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