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631.4(213) --- Agriculture --- -Plant-soil relationships --- -Soil science --- Soils --- -#ABIB:altk --- Pedology (Soil science) --- Earth (Soils) --- Mold, Vegetable --- Mould, Vegetable --- Soil --- Vegetable mold --- Plants and soil --- Soil-plant relationships --- Soils and plants --- Farming --- Husbandry --- 631.4(213) Soil science. Pedology. Soil research--Warme, tropische en subtropische zones --- Soil science. Pedology. Soil research--Warme, tropische en subtropische zones --- Plant-soil relationships --- Soil science --- #ABIB:altk --- Earth sciences --- Plant ecology --- Tropical agriculture --- Soil science. --- Environmental Sciences and Forestry. Soil Science --- Soil Science (General). --- Soils - Tropics --- Plant-soil relationships - Tropics --- Agriculture - Tropics
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This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.
Mathematics. --- Computer science --- Algebraic geometry. --- Commutative algebra. --- Commutative rings. --- Algorithms. --- Combinatorics. --- Algebraic Geometry. --- Commutative Rings and Algebras. --- Discrete Mathematics in Computer Science. --- Noetherian rings. --- Semigroups. --- Ideals (Algebra) --- Algebraic ideals --- Rings, Noetherian --- Algebraic fields --- Rings (Algebra) --- Group theory --- Associative rings --- Commutative rings --- Geometry, algebraic. --- Algebra. --- Computational complexity. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Combinatorics --- Algebra --- Mathematical analysis --- Algorism --- Arithmetic --- Mathematics --- Algebraic geometry --- Geometry --- Foundations --- Computer science—Mathematics. --- Discrete mathematics. --- Discrete Mathematics. --- Computer mathematics --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis
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This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.
Ordered algebraic structures --- Geometry --- Discrete mathematics --- Mathematics --- Computer science --- Computer. Automation --- algebra --- landmeetkunde --- discrete wiskunde --- informatica --- externe fixatie (geneeskunde --- wiskunde --- algoritmen
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Agriculture --- Agriculture --- Research --- International cooperation --- Research --- Consultative Group on International Agricultural Research.
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The Millennium Development Goals, adopted at the UN Millennium Summit in 2000, are the world's targets for dramatically reducing extreme poverty in its many dimensions by 2015?income poverty, hunger, disease, exclusion, lack of infrastructure and shelter?while promoting gender equality, education, health and environmental sustainability. These bold goals can be met in all parts of the world if nations follow through on their commitments to work together to meet them. Achieving the Millennium Development Goals offers the prospect of a more secure, just, and prosperous world for all. The UN Mi
Food relief --- Food supply --- Agricultural development projects. --- Development projects, Agricultural --- Projects, Agricultural development --- Agricultural assistance --- Agriculture --- Economic development projects --- Rural development projects --- Food control --- Produce trade --- Food security --- Single cell proteins --- International cooperation. --- Economic aspects --- UN Millennium Project. --- United Nations. --- Millennium Project --- American Council for the United Nations University. --- AC/UNU Millennium Project --- Proyecto del Milenio de las Naciones Unidas
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Ordered algebraic structures --- Geometry --- Discrete mathematics --- Mathematics --- Computer science --- Computer. Automation --- algebra --- landmeetkunde --- discrete wiskunde --- informatica --- externe fixatie (geneeskunde --- algoritmen
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