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 <TEX>$\mathcal{SC}_n$</TEX>-preenvelope and an ST <TEX>$\mathcal{F}_n$</TEX>-cover for any <TEX>$n\;{\in}\;\mathbb{N}$</TEX> based on some results of cotorsion pairs from [9]. Some characterizations of strongly cotorsion (torsion-free) dimension of a module are given.
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