Titlebook: Rings, Modules, and Closure Operations; Jesse Elliott Book 2019 Springer Nature Switzerland AG 2019 ring operations.closure operations.alg

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Book 2019o 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 flexibi

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Book 2019h 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.?.

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Introductory Survey of Multiplicative Ideal Theory,oved in Chapters . and . in greater generality. The first section is a survey of the theory of integral domains, introducing some of the theory’s most central concepts and results. The reader may at any time wish to consult the various figures and tables at the end of Section ., which summarize the

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Semiprime, Star, and Semistar Operations on Commutative Rings,ons generalize star operations, semistar operations, regular semiprime operations, and standard finite type semiprime operations. We also discuss the problem of determining which semiprime operations are induced by some unital (resp., nonunital) semistar operation. Particular attention is given to t

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