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This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material. In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research. Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.

Modules (Algebra) --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Associative rings. --- Rings (Algebra). --- Category theory (Mathematics). --- Homological algebra. --- Group theory. --- Associative Rings and Algebras. --- Category Theory, Homological Algebra. --- Group Theory and Generalizations. --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Algebraic rings --- Ring theory --- Algebraic fields --- Groups, Theory of --- Substitutions (Mathematics) --- Homological algebra --- Algebra, Abstract --- Homology theory

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Àlgebra --- Topologia --- Poliedres --- Teoria de conjunts --- Aplicacions (Matemàtica) --- Categories (Matemàtica) --- Compactificacions --- Conjunts de Borel --- Dinàmica topològica --- Espais mètrics --- Espais vectorials topològics --- Grups de transformacions --- Grups topològics --- Jocs d'estratègia (Matemàtica) --- Politops --- Teoria de l'homotopia --- Teoria de la dimensió (Topologia) --- Teoria de la dualitat (Matemàtica) --- Teoria de grafs --- Teoria dels reticles --- Topologia algebraica --- Topologia combinatòria --- Topologia diferencial --- Varietats (Matemàtica) --- Varietats topològiques --- Xarxes (Matemàtica) --- Àlgebra lineal --- Matemàtica --- Àlgebra universal --- Algorismes --- Anàlisi combinatòria --- Àlgebra commutativa --- Anàlisi diofàntica --- Anàlisi espinorial --- Anàlisi p-àdica --- Àlgebra multilineal --- Àlgebres associatives --- Àlgebres no commutatives --- Combinatòria (Matemàtica) --- Congruències i residus --- Determinants (Matemàtica) --- Equacions --- Estructures algebraiques ordenades --- Factors (Àlgebra) --- Formes (Matemàtica) --- Interpolació (Matemàtica) --- Logaritmes --- Permutacions --- Representacions d'àlgebres --- Sèries (Matemàtica) --- Successions (Matemàtica) --- Teorema del binomi --- Teoria de grups --- Teoria de nombres --- Anàlisi matemàtica --- Topology. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear

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Rings (Algebra) --- Modules (Algebra) --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups