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List of Notation 1 Preliminaries 1 ¦Ó-torsion and ¦Ó-torsionfree modules 2 ¦Ó-dense submodules 3 ¦Ó-pure submodules 4 ¦Ó-simple and ¦Ó-maximal modules 5 ¦Ó-compact modules 2 ¦Ó-Max modules 6 The ¦Ó-radical and ¦Ó-radical series 7 ¦Ó-Max modules 8 ¦Ó-Noetherian modules in relation to ¦Ó-Max modules 9 ¦Ó-Max rings 10 ¦Ó-short modules 3 ¦Ó-essential submodules 11 ¦Ó-essential submodules 12 ¦Ó-complements and ¦Ó-essentially closed submodules 4 ¦Ó-uniform modules 13 ¦Ó-uniform modules 5 Relative ¦Ó-injective modules 14 ¦Ó-injectivity and related concepts 15 Relative ¦Ó-injective hulls 16 Relative E-¦Ó-injective modules 6 Relatively CS modules 17 ¦Ó-CS and S-¦Ó-CS modules 18 ¦Ó-complemented modules 7 Conclusions 19 Summary 20 Further directions Appendix 21 Direct sums Bibliography Index ±à¼­ÊÖ¼Ç