Semi-algebraic function rings and reflectors of partially ordered rings / Niels Schwartz, James J. Madden
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1712Langue : anglais.Éditeur : Berlin : Springer, 1999ISBN: 9783540664604.ISSN: 1617-9692.Sujet MSC : 14P10, Algebraic geometry - Real algebraic and real analytic geometry, Semialgebraic sets and related spaces06F25, Order, lattices, ordered algebraic structures - Ordered structures, Ordered rings, algebras, modules
13J25, Commutative algebra - Topological rings and modules, Ordered rings
18A40, General theory of categories and functors, Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
54C30, General topology - Maps and general types of topological spaces defined by maps, Real-valued functionsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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The book contains 23 sections. Sections 1-5 are introductory. Sections 6-15 are devoted to rings of semi-algebraic functions and real closed rings. A systematic study of some intervals in the lattice of H-closed monoreflectors is performed in sections 16-22. Section 23 contains a summary of results on the lattice of monoreflectors of the category POR/N of reduced partially ordered rings and on the lattice of H-closed monoreflectors of POR/N.
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