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[null,"1.","Record Nr.",null,"UNISA990001776060203316"]
[null,null,"Autore",null,"MARIOTTI, Mario"]
[null,null,"Titolo",null,"Umani / [l'idea e la realizzazione artistica di questo libro sono di Mario Mariotti]"]
[null,null,"Pubbl/distr/stampa",null,"Firenze : La Nuova Italia per l'Educazione Primaria, 1982"]
[null,null,"Descrizione fisica",null,"[16] c. : ill. ; 21 cm."]
[null,null,"Collana",null,"Dire fare giocare con i bambini , A cosa giochiamo? ; 35"]
[null,null,"Collocazione",null,"II.4. 138(Varie coll. 592/35)"]
[null,null,"Lingua di pubblicazione",null,"Italiano"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","I fotocolors originali sono di Roberto Marchiori"]
[null,"2.","Record Nr.",null,"UNINA9910300150403321"]
[null,null,"Autore",null,"Knebusch Manfred"]
[null,null,"Titolo",null,"Manis Valuations and Prüfer Extensions II / / by Manfred Knebusch, Tobias Kaiser"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014"]
[null,null,"ISBN",null,"3-319-03212-7"]
[null,null,"Edizione",null,"[1st ed. 2014.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XII, 190 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 2103"]
[null,null,"Classificazione",null,"13A1813A1513F0513F3013B3011J61"]
[null,null,"Disciplina",null,"512.44"]
[null,null,"Soggetti",null,"Commutative algebra"]
[{"$nulls":4},"Commutative rings"]
[{"$nulls":4},"Commutative Rings and Algebras"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"Overrings and PM-Spectra -- Approximation Theorems -- Kronecker extensions and star operations -- Basics on Manis valuations and Prufer extensions -- Multiplicative ideal theory -- PM-valuations and valuations of weaker type -- Overrings and PM-Spectra -- Approximation Theorems -- Kronecker extensions and star operations -- Appendix -- References -- Index."]
[null,null,null,"Sommario/riassunto","This volume is a sequel to “Manis Valuation and Prüfer Extensions I,” LNM1791. The Prüfer extensions of a commutative ring A are roughly those commutative ring extensions R / A,where commutative algebra is governed by Manis valuations on R with integral values on A. These valuations then turn out to belong to the particularly amenable subclass of PM (=Prüfer-Manis) valuations. While in Volume I Prüfer extensions in general and individual PM valuations were studied, now the focus is on families of PM valuations. One highlight is the presentation of a very general and deep approximation theorem for PM valuations, going back to Joachim Gräter’s work in 1980, a far-reaching extension of the classical weak approximation theorem in arithmetic. Another highlight is a theory of so called “Kronecker extensions,” where PM valuations are put to use in  arbitrary commutative  ring extensions in a way that ultimately goes back to the work of Leopold Kronecker."]