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Approximation Theorems in Commutative Algebra: Classical and Categorical Methods (Mathematics and its Applications)
Rok: 1992
ISBN: 9780792319481
OKCZID: 110368278
Citace (dle ČSN ISO 690):
ALAJBEGOVIĆ, Jusuf H. Approximation theorems in commutative algebra: classical and categorical methods. Dordrecht: Kluwer Academic Publishers, 1992. xviii, 330 s. Mathematics and its applications. East European Series, vol. 59.
Anotace
Various types of approximation theorems are frequently used in general commutative algebra, and they have been found to be useful tools in valuation theory, the theory of Abelian lattice ordered groups, multiplicative ideal theory, etc. Part 1 of this volume is devoted to the investigation of approximation theorems from a classical point of view. The chapters of this part deal with fields and rings, partly ordered groups, and with multirings and d-groups. Part II investigates approximation theorems from a general, categorical point of view. This part is essentially self-contained and requires only a basic knowledge of category theory and first-order logic. For researchers and graduate students of commutative algebra, category theory, as well as applications of logic.