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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.
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.
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