Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)
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| Preise | 2013 | 2014 | 2018 |
|---|---|---|---|
| Schnitt | € 51,73 | € 81,23 | € 80,41 |
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1
Ideals and Reality - Projective Modules and Number of Generators of Ideals
DE NW EB DLISBN: 9783540263708 bzw. 3540263705, in Deutsch, Springer Berlin, neu, E-Book, elektronischer Download.
Lieferung aus: Deutschland, Versandkostenfrei.
Ideals and Reality: Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector space possesses a basis, a module need not always have one. Modules possessing a basis are called free. So a finitely generated free R-module is of the form Rn for some n E IN, equipped with the usual operations. A module is called p- jective, iff it is a direct summand of a free one. Especially a finitely generated R-module P is projective iff there is an R-module Q with P @ Q S Rn for some n. Remarkably enough there do exist nonfree projective modules. Even there are nonfree P such that P @ Rm S Rn for some m and n. Modules P having the latter property are called stably free. On the other hand there are many rings, all of whose projective modules are free, e. g. local rings and principal ideal domains. (A commutative ring is called local iff it has exactly one maximal ideal. ) For two decades it was a challenging problem whether every projective module over the polynomial ring k[X1,. . . Englisch, Ebook.
Ideals and Reality: Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector space possesses a basis, a module need not always have one. Modules possessing a basis are called free. So a finitely generated free R-module is of the form Rn for some n E IN, equipped with the usual operations. A module is called p- jective, iff it is a direct summand of a free one. Especially a finitely generated R-module P is projective iff there is an R-module Q with P @ Q S Rn for some n. Remarkably enough there do exist nonfree projective modules. Even there are nonfree P such that P @ Rm S Rn for some m and n. Modules P having the latter property are called stably free. On the other hand there are many rings, all of whose projective modules are free, e. g. local rings and principal ideal domains. (A commutative ring is called local iff it has exactly one maximal ideal. ) For two decades it was a challenging problem whether every projective module over the polynomial ring k[X1,. . . Englisch, Ebook.
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Ideals and Reality (2005)
DE NWISBN: 9783540263708 bzw. 3540263705, in Deutsch, Springer, Berlin/Heidelberg, Deutschland, neu.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Versandkostenfrei.
Ideals and Reality ab 75.99 € als pdf eBook: Projective Modules and Number of Generators of Ideals. Auflage 2005. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik,.
Ideals and Reality ab 75.99 € als pdf eBook: Projective Modules and Number of Generators of Ideals. Auflage 2005. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik,.
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Ideals and Reality als eBook von Friedrich Ischebeck, Ravi A. Rao, Friedrich Ischebeck, Ravi A. Rao (2005)
DE NWISBN: 9783540263708 bzw. 3540263705, in Deutsch, Springer Berlin Heidelberg, neu.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Versandkostenfrei.
Ideals and Reality ab 75.99 EURO Projective Modules and Number of Generators of Ideals. Auflage 2005.
Ideals and Reality ab 75.99 EURO Projective Modules and Number of Generators of Ideals. Auflage 2005.
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Ideals and Reality
DE NWISBN: 9783540263708 bzw. 3540263705, in Deutsch, Springer Berlin, neu.
Lieferung aus: Deutschland, sofort lieferbar.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
5
Ideals and Reality - Projective Modules and Number of Generators of Ideals
DE NW EB DLISBN: 9783540263708 bzw. 3540263705, in Deutsch, Springer-Verlag, neu, E-Book, elektronischer Download.
Lieferung aus: Deutschland, E-Book zum Download.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
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