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- catalog abstract "The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.".
- catalog contributor b8372918.
- catalog created "c1995.".
- catalog date "1995".
- catalog date "c1995.".
- catalog dateCopyrighted "c1995.".
- catalog description "I. Polynomial Functions -- II. The Ring Int(R) -- III. Fixed Divisors -- IV. Regular Basis -- V. Polya Fields -- VI. Integral-Valued Derivatives -- VII. Algebraic Properties of Int(R) -- VIII. D-Rings -- IX. The Properties (P) and (SP) -- X. Heights and Transcendental Extensions -- XI. Pairs of Polynomial Mappings -- XII. Polynomial Cycles.".
- catalog description "Includes bibliographical references (p. [112]-123) and index.".
- catalog description "The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.".
- catalog extent "130 p. :".
- catalog hasFormat "Polynomial mappings.".
- catalog identifier "0387594353 (New York : acid-free paper)".
- catalog identifier "3540594353 (Berlin : acid-free paper)".
- catalog isFormatOf "Polynomial mappings.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1600.".
- catalog isPartOf "Lecture notes in mathematics ; 1600".
- catalog issued "1995".
- catalog issued "c1995.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Polynomial mappings.".
- catalog subject "510 s 512.9/42 20".
- catalog subject "Algebra.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mappings (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "Number theory.".
- catalog subject "Polynomials.".
- catalog subject "QA3 .L28 no. 1600 QA241".
- catalog tableOfContents "I. Polynomial Functions -- II. The Ring Int(R) -- III. Fixed Divisors -- IV. Regular Basis -- V. Polya Fields -- VI. Integral-Valued Derivatives -- VII. Algebraic Properties of Int(R) -- VIII. D-Rings -- IX. The Properties (P) and (SP) -- X. Heights and Transcendental Extensions -- XI. Pairs of Polynomial Mappings -- XII. Polynomial Cycles.".
- catalog title "Polynomial mappings / Wladyslaw Narkiewicz.".
- catalog type "text".