Lattice-Theoretical Approaches to Module and Ring Theory

In this work, the authors present module theory with a clarity and purity that even readers with only basic abstract algebra prerequisites can follow. Widely used special ring types and proofs of some non-obvious facts related to them are provided within ring theory. Special classes of modules and submodules (relatively injective, fully invariant, projection invariant), which can form the basis for future research, are detailed. Finally, a transition is made from module theory concepts to lattice theory with unique technical approaches to these algebraic structures, and existing or current results in the literature on this subject are highlighted. The main text of the book is complemented by abundant examples and problems of varying difficulty levels given at the end of each section.