Rings, Modules, and Closure Operations
Jesse Elliott
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Springer International Publishing
Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra
Beschreibung
This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
Kundenbewertungen
commutative rings, integral domains, preradical theories, polynomial rings, ring operations, finitary nuclei, closure operations, Prufer extensions, divisorial nuclei, functorial systems, pretorsion theories, semistar operations, ordered algebraic structures, multiplicative ideal theory, star operations, algebraic structures, semiprime operations, closure ideal and submodules