02912nam a2200397 i 4500991003265909707536m o d cr cnu||||||||160801t2015 sz ob 001 0 eng d9783319194943b1430580x-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng512.423AMS 13-02AMS 03F65AMS 13C10AMS 13D02AMS 13P10LC QA251.3.Y46Yengui, Ihsen718166Constructive commutative algebra[e-book] :projective modules over polynomial rings and dynamical Gröbner bases /Ihsen YenguiCham [Switzerland] :Springer,[2014]1 online resource (vii, 271 pages)Lecture Notes in Mathematics,1617-9692 ;2138Includes bibliographical references (pages 259-268) and indexProjective modules over polynomial rings ; Dynamical Gröbner bases ; Syzygies in polynomial rings over valuation domains ; Exercises ; Detailed solutions to the exercisesThe main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring. Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gröbner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented. Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn's Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophyCommutative algebraGröbner basesPolynomial ringshttp://link.springer.com/book/10.1007/978-3-319-19494-3An electronic book accessible through the World Wide Web.b1430580x03-03-2201-08-16991003265909707536Constructive commutative algebra1392311UNISALENTOle01301-08-16m@ -engsz 0001608oam 2200445M 450 991071616560332120200213070916.8(CKB)5470000002518458(OCoLC)1065604795(OCoLC)995470000002518458(EXLCZ)99547000000251845820071213d1926 ua 0engurcn|||||||||txtrdacontentcrdamediacrrdacarrierMurray A. Cobb. April 27, 1926. -- Committed to the Committee of the Whole House and ordered to be printed[Washington, D.C.] :[U.S. Government Printing Office],1926.1 online resource (9 pages)House report / 69th Congress, 1st session. House ;no. 996[United States congressional serial set ] ;[serial no. 8537]Batch processed record: Metadata reviewed, not verified. Some fields updated by batch processes.FDLP item number not assigned.ClaimsMedical careArmed ForcesOfficersLegislative materials.lcgftClaims.Medical care.Armed ForcesOfficers.Winter Charles E(Charles Edwin),1870-1948Republican (WY)1387987WYUWYUOCLCOOCLCQBOOK9910716165603321Murray A. Cobb. April 27, 1926. -- Committed to the Committee of the Whole House and ordered to be printed3444548UNINA01733nam0 2200373 i 450 CFI002231420251003044111.08815011315IT87-5979 19861219d1986 ||||0itac50 baitaitz01i xxxe z01nz01ncRDAcarrierˆLe ‰leggi della politica industriale in Italiadalla ristrutturazione all'innovazionea cura di Franco MomiglianoBolognaIl mulino1986237 p.22 cm.Quaderni de L'industria001CFI00041322001 Quaderni de L'industriaItaliaPolitica industriale1970-1985FIRCFIC011005I338.480945INDUSTRIE SECONDARIE E SERVIZI. POLITICHE PUBBLICHE. Italia21338.945SVILUPPO E CRESCITA ECONOMICA. Italia23Se.i.14.2.2.3Storia dell'economia italiana. 1963-1975. Ricerca e sviluppoFMomigliano, FrancoCFIV003194Uberti, Luigi <1916-1988>LO1V151789Momigliano, FrancoITIT-00000019861219IT-BN0095 NAP 01POZZO LIB.Vi sono collocati fondi di economia, periodici di ingegneria e scienze, periodici di economia e statistica e altri fondi comprendenti documenti di economia pervenuti in dono. CFI0022314Biblioteca Centralizzata di Ateneo1 v. 01POZZO LIB.F. SANTI 332 0101 0060033595E VMA 1 v. (Precedente collocazione S 333)B 2022110820221108 01Leggi della politica industriale in Italia60190UNISANNIO