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001450773 001__ 1450773
001450773 003__ OCoLC
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001450773 019__ $$a1349090181
001450773 020__ $$a9783031148699$$q(electronic bk.)
001450773 020__ $$a303114869X$$q(electronic bk.)
001450773 020__ $$z9783031148682
001450773 020__ $$z3031148681
001450773 0247_ $$a10.1007/978-3-031-14869-9$$2doi
001450773 035__ $$aSP(OCoLC)1349281735
001450773 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ
001450773 049__ $$aISEA
001450773 050_4 $$aQA639.5
001450773 08204 $$a516.08$$223/eng/20221101
001450773 1001_ $$aGrynkiewicz, David J.,$$d1978-
001450773 24514 $$aThe characterization of finite elasticities :$$bfactorization theory in Krull monoids via convex geometry /$$cDavid J. Grynkiewicz.
001450773 260__ $$aCham, Switzerland :$$bSpringer,$$c2022.
001450773 300__ $$a1 online resource (291 p.).
001450773 4901_ $$aLecture Notes in Mathematics ;$$vv. 2316
001450773 504__ $$aIncludes bibliographical references and index.
001450773 5050_ $$aIntro -- Preface -- Contents -- 1 Introduction -- 1.1 Convex Geometry -- 1.2 Krull Domains, Transfer Krull Monoids and Factorization -- 1.3 Zero-Sum Sequences -- 1.4 Overview of Main Results -- 2 Preliminaries and General Notation -- 2.1 Convex Geometry -- 2.2 Lattices and Partially Ordered Sets -- 2.3 Sequences and Rational Sequences -- 2.4 Arithmetic Invariants for Transfer Krull Monoids -- 2.5 Asymptotic Notation -- 3 Asymptotically Filtered Sequences, Encasement and Boundedness -- 3.1 Asymptotically Filtered Sequences -- 3.2 Encasement and Boundedness
001450773 5058_ $$a4 Elementary Atoms, Positive Bases and Reay Systems -- 4.1 Basic Non-degeneracy Characterizations -- 4.2 Elementary Atoms and Positive Bases -- 4.3 Reay Systems -- 4.4 -Filtered Sequences, Minimal Encasement and Reay Systems -- 5 Oriented Reay Systems -- 6 Virtual Reay Systems -- 7 Finitary Sets -- 7.1 Core Definitions and Properties -- 7.2 Series Decompositions and Virtualizations -- 7.3 Finiteness Properties of Finitary Sets -- 7.4 Interchangeability and the Structure of X(G0) -- 8 Factorization Theory -- 8.1 Lambert Subsets and Elasticity -- 8.2 The Structure of Atoms and Arithmetic Invariants
001450773 506__ $$aAccess limited to authorized users.
001450773 520__ $$a8.3 Transfer Krull Monoids Over Subsets of Finitely Generated Abelian Groups -- Summary -- References -- Index
001450773 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 1, 2022).
001450773 650_0 $$aConvex geometry.
001450773 650_0 $$aMonoids.
001450773 655_0 $$aElectronic books.
001450773 77608 $$iPrint version:$$aGrynkiewicz, David J.$$tThe Characterization of Finite Elasticities$$dCham : Springer International Publishing AG,c2022$$z9783031148682
001450773 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$v2316.
001450773 852__ $$bebk
001450773 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-14869-9$$zOnline Access$$91397441.1
001450773 909CO $$ooai:library.usi.edu:1450773$$pGLOBAL_SET
001450773 980__ $$aBIB
001450773 980__ $$aEBOOK
001450773 982__ $$aEbook
001450773 983__ $$aOnline
001450773 994__ $$a92$$bISE