Titlebook: Non-Commutative Valuation Rings and Semi-Hereditary Orders; Hidetoshi Marubayashi,Haruo Miyamoto,Akira Ueda Book 1997 Springer Science+Bus

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Hidetoshi Marubayashi,Haruo Miyamoto,Akira Uedagestellte Probleme zu l?sen, und zwar in einer Weise, da? sie von einem Computer bearbeitet werden k?nnen. Für dieses computergerechte L?sen von Aufgaben wurden in einer in- tensiven Diskussion im Fach Informatik systematische Vorgehenswei- sen und geeignete Hilfsmittel entwickelt. Hilfsmittel sind

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1386-2804 rders in a simple Artinian ring which are considered, in a sense, as global theories of non-commu- tative valuation rings. So it is worth to present a survey of the subjects in a self-contained way, which is the purpose of this book. Historically non-commutative valuation rings of division rings wer

特征

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978-90-481-4853-0Springer Science+Business Media Dordrecht 1997

Commodious

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漂浮

,Semi-Hereditary and Prüfer Orders,Throughout this book, . 1 (except for Appendix). In this section, we shall give a few definitions, notations and elementary properties of orders. For a ring ., we denote by . the set of all units of . and by ..(0) the set of all regular elements (that is, non-zero divisors) of . (or .(0) if there are no confusions).

美學

Dubrovin Valuation Rings,Throughout this section, let .. We shall define, in this section, Dubrovin valuation rings of . by using points and we shall give several characterizations of Dubrovin valuation rings. We begin with the definition of points.

Finasteride

Semi-Local Bezout Orders,In this section, we shall investigate localizations of semi-local Bezout orders at prime ideals in a simple Artinian ring. Throughout this section, ..