Regularity and Substructures of Hom

1. Notation and Background

2. Regular Homomorphisms

3. Indecomposable Modules

4. Regularity in Modules

5. Regularity in HomR(A, M) as a One-sided Module

6. Relative Regularity: U-Regularity and Semiregularity

7. Reg(A, M) and Other Substructures of Hom

8. Regularity in Homomorphism Groups of Abelian Groups

9. Regularity in Categories

Avainsanat: Mathematics, Associative Rings and Algebras, Group Theory and Generalizations, Algebra