The theory of finitely generated commutative semigroups /

The Theory of Finitely Generated Commutative Semigroups describes a theory of finitely generated commutative semigroups which is founded essentially on a single """"fundamental theorem"""" and exhibits resemblance in many respects to the algebraic theory of nu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: R�edei, L. (L�aszl�o), 1900-
Otros Autores: Reilly, N. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Alemán
Publicado: Oxford : Pergamon Press, 1965.
Edición:First edition.
Colección:International series of monographs in pure and applied mathematics ; v. 82.
Temas:
Commutative semigroups.
Semi-groupes commutatifs.
MATHEMATICS > Algebra > Intermediate.
Commutative semigroups
Acceso en línea:Texto completo

MARC

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100 1 |a R�edei, L.  |q (L�aszl�o),  |d 1900- 
240 1 0 |a Theorie der endlich erzeugbaren kommutativen Halbgruppen.  |l English 
245 1 4 |a The theory of finitely generated commutative semigroups /  |c L�aszl�o R�edei ; translation edited by N. Reilly. 
250 |a First edition. 
260 |a Oxford :  |b Pergamon Press,  |c 1965. 
300 |a 1 online resource (368 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a International series of monographs in pure and applied mathematics ;  |v v. 82 
588 0 |a Online resource; title from PDF title page (EBSCO, viewed February 2, 2015). 
505 0 |a Front Cover; The Theory of Finitely Generated Commutative Semigroups; Copyright page; Table of Contents; Preface; Introduction; Chapter I. Kernel functions and fundamental theorem; 1. Preliminaries; 2. Axioms I-V of the kernel functions; 3. Fundamental theorem; 4. Second form of Axiom V; 5. Proof of the fundamental theorem; Chapter II. Elementary properties of the kernel functions; 6. Set stars and ideal stars; 7. Third form of Axiom V; 8. Fourth form of Axiom V; 9. The star property of the kernel functions; 10. i'irst theorem of reciprocity; 11. Transitivity classes; 12. Reduction of Axiom V 
505 8 |a Chapter III. Ideal theory of free semimodules of finite rank13. Dickson's theorem; 14. The ideals of and F�; 15. Translation classes of ideals; 16. Ideal lattice and principal ideal lattice; 17. Direct decompositions in F and F�; 18. The height of ideals of F; 19. The maximal condition in the ideal lattice of 7^; 20. Semiondomorphisms of the ideal lattices of F�; 21. Certain congruences in commutative cancellative semigroups; 22. jP""-congruences by ideals; 23. Second theorem of reciprocity; 24. The classes for an ideal of F; 25. The set of classes by an ideal of F 
505 8 |a Chapter IV. Further properties of the kernel functions26. The kernel of -congruences or kernel functions; 27. Translated kernel functions; 28. Finiteness of the range of values of the kernel functions; 29. Classification of the kernel functions; 30. The kernel functions of first degree; 31. The enveloping kernel function of first degree; 32. The kernel functions of first order; 33. Finite definability of finitely generated commutativesemigroups; 34. The lattice of kernel functions; 35. Connection of an F-congruence with the values of thekernel function belonging to it 
505 8 |a 36. The submodules of F�37. Finite commutative semigroups; 38. Numerical semimodules; 39. Investigation of the kernel functions **in the little; 40. The numerical semimodules attached to the kernelfunctions; 41. The kernel functions of first rank; 42. The maximum condition in the lattice of kernel functions; 43. The normals of a kernel function; 44. Splitting kernel functions; 45. The kernel functions of second order; 46. The kernel functions of second dimension; 47. Degenerate kernel functions; Chapter V. Equivalent kernel functions 
505 8 |a 48. Preparations for the solution of the isomorphism problem49. Submodules of equivalent relative to F; 50. Equivalent kernel functions; Appendix; 51. The case of semigroups without a unity element; Index; Other titles in the series 
520 |a The Theory of Finitely Generated Commutative Semigroups describes a theory of finitely generated commutative semigroups which is founded essentially on a single """"fundamental theorem"""" and exhibits resemblance in many respects to the algebraic theory of numbers. The theory primarily involves the investigation of the F-congruences (F is the the free semimodule of the rank n, where n is a given natural number). As applications, several important special cases are given. This volume is comprised of five chapters and begins with preliminaries on finitely generated commutative semigroups before. 
650 0 |a Commutative semigroups. 
650 6 |a Semi-groupes commutatifs.  |0 (CaQQLa)201-0361591 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Commutative semigroups  |2 fast  |0 (OCoLC)fst00871207 
700 1 |a Reilly, N.,  |e editor. 
776 0 8 |i Print version:  |a R�edei, L. (L�aszl�o), 1900-  |s Theorie der endlich erzeugbaren kommutativen Halbgruppen. English.  |t Theory of finitely generated commutative semigroups.  |b [1st ed.].  |d Oxford, New York, Pergamon Press [1965]  |w (DLC) 63022764  |w (OCoLC)1303005 
830 0 |a International series of monographs in pure and applied mathematics ;  |v v. 82. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780080105208  |z Texto completo 

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