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This monograph is the first devoted exclusively to the development of the theory of numerical semigroups. In this concise, self-contained text, graduate students and researchers will benefit from this broad exposition of the topic. Key features of "Numerical Semigroups" include: - Content ranging from the basics to open research problems and the latest advances in the field; - Exercises at the end of each chapter that expand upon and support the material; - Emphasis on the computational aspects of the theory; algorithms are presented to provide effective calculations; - Many examples that illustrate the concepts and algorithms; - Presentation of various connections between numerical semigroups and number theory, coding theory, algebraic geometry, linear programming, and commutative algebra would be of significant interest to researchers. "Numerical Semigroups" is accessible to first year graduate students, with only a basic knowledge of algebra required, giving the full background needed for readers not familiar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.

Ideals (Algebra). --- Semigroups. --- Semigroups --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Mathematics. --- Algebra. --- Ordered algebraic structures. --- Number theory. --- Group Theory and Generalizations. --- Number Theory. --- General Algebraic Systems. --- Order, Lattices, Ordered Algebraic Structures. --- Group theory --- Number study --- Numbers, Theory of --- Mathematical analysis --- Algebraic structures, Ordered --- Structures, Ordered algebraic

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The Eastern Caribbean Central Bank is one of just a few regional central banks in the world and the only one where the member countries have pooled all their foreign reserves, the convertability of the common currency is fully self-supported, and the parity of the exchange rate has not changed. This occasional paper reviews recent developments, policy issues, and institutional arrangements in the member countries of the Eastern Caribbean Currency Union, and looks at the regional financial system, its supervision, and the central bank's initiatives to establish a single financial space. The paper includes a large amount of statistical information that is not readily available elsewhere from a single source.

Zonder onderwerpscode --- Monetary unions --- History --- Eastern Caribbean Currency Union --- Eastern Caribbean Central Bank --- -339.732 <8> --- CAR / Caribbean Countries - Antillen - Antilles --- 333.432.9 --- 330.05 --- 332.49729 --- Common currencies --- Currency areas --- Currency unions --- Optimum currency areas --- Currency question --- Money --- Internationale banken. Wereldbank. Ontwikkelingsbank. Investeringsbank. Comecom, samenwerkingsbank. Europees monetair fonds. Europees ontwikkelingsfonds. Europese investeringsbank. Europese monetaire--Zuid-Amerika --- Arabisch monetair fonds. --- -Eastern Caribbean Currency Union --- -ECCU --- ECCB --- East Caribbean Currency Authority --- Working papers --- Centrale banken: Oostelijke Caribische Staten --- Monetetaire unies: Oostelijke Caribische Staten --- Valuta-unies: Oostelijke Caribische Staten --- History. --- Centrale banken: Oostelijke Caribische Staten. --- Monetetaire unies: Oostelijke Caribische Staten. --- Valuta-unies: Oostelijke Caribische Staten. --- -History --- 339.732 <8> Ida. Ibrd. Bird. Ifc. Imf. Speciale trekkingsrechten. Bank voor internationale betalingen. Internationaal monetair systeem--Zuid-Amerika --- 339.732 <8> Internationale banken. Wereldbank. Ontwikkelingsbank. Investeringsbank. Comecom, samenwerkingsbank. Europees monetair fonds. Europees ontwikkelingsfonds. Europese investeringsbank. Europese monetaire--Zuid-Amerika --- Ida. Ibrd. Bird. Ifc. Imf. Speciale trekkingsrechten. Bank voor internationale betalingen. Internationaal monetair systeem--Zuid-Amerika --- 339.732 <8> --- Arabisch monetair fonds --- ECCU --- Monetary unions - Caribbean Area - History --- Banks and Banking --- Investments: Commodities --- Investments: General --- Public Finance --- Industries: Financial Services --- Money and Monetary Policy --- Banks --- Depository Institutions --- Micro Finance Institutions --- Mortgages --- General Financial Markets: General (includes Measurement and Data) --- Agriculture: General --- National Government Expenditures and Related Policies: Infrastructures --- Other Public Investment and Capital Stock --- Monetary Policy, Central Banking, and the Supply of Money and Credit: General --- Banking --- Investment & securities --- Finance --- Public finance & taxation --- Monetary economics --- Commercial banks --- Agricultural commodities --- Loans --- Public investment spending --- Financial institutions --- Commodities --- Credit --- Expenditure --- Banks and banking --- Farm produce --- Public investments --- Antigua and Barbuda