Approximation theorems in commutative algebra : classical and categorical methods

書誌事項

Approximation theorems in commutative algebra : classical and categorical methods

by J. Alajbegović and J. Močkoř

(Mathematics and its applications, . East European series ; v. 59)

Kluwer Academic Publishers, c1992

大学図書館所蔵 件 / 18

この図書・雑誌をさがす

注記

Includes bibliographical references (p. [307]-315) and indexes

内容説明・目次

内容説明

ClDo _ IIIIIIIoaIIIics bu _ die 'EI JDDi, *** sij'_ ...-..._. je _ ...lIbupalaJllllllllll __ D'y_poa~: wbae it beIoap...die . . "...,. . _ DOD to dlecluly __ * __ . ~ 1110 _ is dioapaI; -. . e _ may be EricT. BeD IbIetodo--'_iL O. 1feaoriIide Mathematics is a tool for dloogIrt. A bighly necessary tool in a world where both feedback and noolineari- ties abound. Similarly, all kinds of parts of IIIIIIhcmatiI:s serve as tools for odIcr parts and for ocher sci- eoccs. Applying a simple rewriting rule to the quote on the right above one finds suc:h stalements as: 'One ser- vice topology has rcncIerM mathematical physics ...'; 'One service logic has rendered computer science . * . '; 'One service category theory has rmdcn:d mathematics ...'. All arguably true. And all statements obrainable this way form part of the raison d'etm of this series. This series, Mathmlatics tDIII Its Applications, saaned in 1977. Now that over one hundred volumcs have appeared it seems opportune to reexamine its scope. AI. the time I wrote "Growing spccialization and divenification have brought a host of monographs and textbooks on incJeasingly specialized topics. However, the 'tree' of knowledge of JJJatbcmatics and reIatcd ficIds docs not grow only by putting forth new bnDdIcs. It also happens, quite often in fact, that brancbes which were thought to be comp1etcly disparate am suddenly seen to be rdatcd.

目次

Preface. Part I: Classical Methods. 1. Approximation Theorems for Valuations of Fields. 2. Valuations on Commutative Rings. 3. Ordered Groups and Homomorphisms. 4. Approximation Theorems for Multistructures. Part II: Categorical Methods. 5. Categorical Logic. 6. Approximation Theorems in Categories. Bibliography. Index of Notation. Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

ページトップへ