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010   $a3-030-24401-6
024 7 $a10.1007/978-3-030-24401-9
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035   $a(MiAaPQ)EBC5987668
035   $a(DE-He213)978-3-030-24401-9
035   $a(PPN)242824005
035   $a(MiAaPQ)EBC5987605
035   $a(EXLCZ)994100000009939742
100   $a20191130d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aRings, Modules, and Closure Operations /$fby Jesse Elliott
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (512 pages)
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
311 08$a3-030-24400-8 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 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.
330   $aThis book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aCommutative algebra
606   $aCommutative rings
606   $aCommutative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11043
615  0$aCommutative algebra.
615  0$aCommutative rings.
615 14$aCommutative Rings and Algebras.
676   $a512.4
676   $a512.44
700   $aElliott$b Jesse$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781706
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910360849603321
996   $aRings, Modules, and Closure Operations$91733523
997   $aUNINA