02703nam 22005295 450 991036084960332120250609111430.03-030-24401-610.1007/978-3-030-24401-9(CKB)4100000009939742(MiAaPQ)EBC5987668(DE-He213)978-3-030-24401-9(PPN)242824005(MiAaPQ)EBC5987605(EXLCZ)99410000000993974220191130d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierRings, Modules, and Closure Operations /by Jesse Elliott1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (512 pages)Springer Monographs in Mathematics,1439-73823-030-24400-8 Includes bibliographical references and index.Preface -- 0. Preliminaries -- 1. Introductory survey of multiplicative ideal theory -- 2. Semistar operations on commutative rings -- 3. Semistar operations on commutative rings: local methods -- 4. Extensions of commutative rings -- 5. Semiprime, star, and semistar operations on commutative rings -- 6. Closure operations on submodules over noncommutative rings -- 7. Appendix on Clusure operations and nuclei -- Bibliography -- Index.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.Springer Monographs in Mathematics,1439-7382Commutative algebraCommutative ringsCommutative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11043Commutative algebra.Commutative rings.Commutative Rings and Algebras.512.4512.44Elliott Jesseauthttp://id.loc.gov/vocabulary/relators/aut781706MiAaPQMiAaPQMiAaPQBOOK9910360849603321Rings, Modules, and Closure Operations1733523UNINA