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Book
Finite rank torsion free abelian groups and rings
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ISBN: 3540115579 0387115579 3540392343 9783540115571 Year: 1982 Volume: 931 Publisher: Berlin: Springer,

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Book
Torsion theories, additive semantics, and rings of quotients
Author:
ISBN: 3540053409 0387053409 354036448X Year: 1971 Volume: 177 Publisher: Berlin


Book
Rings of quotients : an introduction to methods of ring theory
Author:
ISBN: 3540071172 0387071172 3642660681 3642660665 9783540071174 Year: 1975 Publisher: Berlin: Springer,


Book
Toegepaste mechanica.
Authors: ---
ISBN: 9039505934 9789039505946 9039505950 9789039505939 9039505942 9789039505953 Year: 1999 Publisher: Schoonhoven : Academic Service,

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1. Materiaalgedrag 
2. De op extensie belaste staaf 
3. doorsnedegrootheden 
4. De op buiging en extensie belaste staaf 
5. Schuifkrachten en-spanningen ten gevolge van dwarskracht 
6. De op wringing belaste staaf 
7. Vervorming van vakwerken 
8. Vormverandering door buiging


Keywords

bars [building materials] --- toegepaste mechanica --- evenwicht --- Classical mechanics. Field theory --- equilibrium [structural analysis concept] --- spanningsstabiliteit --- spanningsanalyse --- Applied physical engineering --- Mechanical properties of solids --- Building design --- vervormingen --- Mechanics, Applied. --- Structural analysis (Engineering). --- Continuum mechanics. --- mechanics [physics] --- toegepaste wetenschappen --- spanning (fysica) --- Mechanica --- 539.3 --- 539.4 --- 620.173 --- 620.174 --- 620.175 --- 531.8 --- gassen --- krachten --- materiaalkunde --- spanningsleer --- statica --- vloeistoffen --- 531 )* MECHANICA --- Gronddruk --- Krachtenlijnen --- Snedekrachten --- Statica --- mechanica --- spanningen --- 624.04 --- Bouwkunde --- Constructieleer --- Mechanica : statica --- berekening bouwconstructie --- bezwijkgedrag --- elastoplasticiteit --- fem --- sterkteleer --- stijfheid --- verplaatsingsmethode --- 620.175 Testing of torsional strength, with static or gradually increasing load. Torsion, twisting, rigidity tests --- Testing of torsional strength, with static or gradually increasing load. Torsion, twisting, rigidity tests --- 620.174 Bending strength tests, with static or gradually increasing load. Flexure testing --- Bending strength tests, with static or gradually increasing load. Flexure testing --- 620.173 Testing of compressive strength, with static or gradually increasing load. Compression, crushing tests. Buckling tests --- Testing of compressive strength, with static or gradually increasing load. Compression, crushing tests. Buckling tests --- 539.4 Strength. Resistance to stress --- Strength. Resistance to stress --- 539.3 Elasticity. Deformation. Mechanics of elastic solids --- Elasticity. Deformation. Mechanics of elastic solids --- theorie van machines: toegepaste mechanica --- Spanningen : sterkteleer --- Materiaalonderzoek --- Berekening van constructies : vervormingen --- Berekening van constructies : spanningen

Introduction to algebraic K-theory
Author:
ISBN: 0691081018 9780691081014 140088179X 9781400881796 Year: 1971 Volume: 72 Publisher: Princeton (N.J.): Princeton university press,

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Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.

Keywords

Algebraic geometry --- Ordered algebraic structures --- Associative rings --- Abelian groups --- Functor theory --- Anneaux associatifs --- Groupes abéliens --- Foncteurs, Théorie des --- 512.73 --- 515.14 --- Functorial representation --- Algebra, Homological --- Categories (Mathematics) --- Functional analysis --- Transformations (Mathematics) --- Commutative groups --- Group theory --- Rings (Algebra) --- Cohomology theory of algebraic varieties and schemes --- Algebraic topology --- Abelian groups. --- Associative rings. --- Functor theory. --- 515.14 Algebraic topology --- 512.73 Cohomology theory of algebraic varieties and schemes --- Groupes abéliens --- Foncteurs, Théorie des --- Abelian group. --- Absolute value. --- Addition. --- Algebraic K-theory. --- Algebraic equation. --- Algebraic integer. --- Banach algebra. --- Basis (linear algebra). --- Big O notation. --- Circle group. --- Coefficient. --- Commutative property. --- Commutative ring. --- Commutator. --- Complex number. --- Computation. --- Congruence subgroup. --- Coprime integers. --- Cyclic group. --- Dedekind domain. --- Direct limit. --- Direct proof. --- Direct sum. --- Discrete valuation. --- Division algebra. --- Division ring. --- Elementary matrix. --- Elliptic function. --- Exact sequence. --- Existential quantification. --- Exterior algebra. --- Factorization. --- Finite group. --- Free abelian group. --- Function (mathematics). --- Fundamental group. --- Galois extension. --- Galois group. --- General linear group. --- Group extension. --- Hausdorff space. --- Homological algebra. --- Homomorphism. --- Homotopy. --- Ideal (ring theory). --- Ideal class group. --- Identity element. --- Identity matrix. --- Integral domain. --- Invertible matrix. --- Isomorphism class. --- K-theory. --- Kummer theory. --- Lattice (group). --- Left inverse. --- Local field. --- Local ring. --- Mathematics. --- Matsumoto's theorem. --- Maximal ideal. --- Meromorphic function. --- Monomial. --- Natural number. --- Noetherian. --- Normal subgroup. --- Number theory. --- Open set. --- Picard group. --- Polynomial. --- Prime element. --- Prime ideal. --- Projective module. --- Quadratic form. --- Quaternion. --- Quotient ring. --- Rational number. --- Real number. --- Right inverse. --- Ring of integers. --- Root of unity. --- Schur multiplier. --- Scientific notation. --- Simple algebra. --- Special case. --- Special linear group. --- Subgroup. --- Summation. --- Surjective function. --- Tensor product. --- Theorem. --- Topological K-theory. --- Topological group. --- Topological space. --- Topology. --- Torsion group. --- Variable (mathematics). --- Vector space. --- Wedderburn's theorem. --- Weierstrass function. --- Whitehead torsion. --- K-théorie

Étale cohomology
Author:
ISBN: 0691082383 1400883989 Year: 1980 Publisher: Princeton (N.J.) : Princeton university press,

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One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology -- those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series.Originally published in 1980.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Keywords

Ordered algebraic structures --- 512.73 --- 512.66 --- Geometry, Algebraic --- Homology theory --- Sheaf theory --- Cohomology, Sheaf --- Sheaf cohomology --- Sheaves, Theory of --- Sheaves (Algebraic topology) --- Algebraic topology --- Cohomology theory --- Contrahomology theory --- Algebraic geometry --- Geometry --- Cohomology theory of algebraic varieties and schemes --- Homological algebra --- Geometry, Algebraic. --- Homology theory. --- Sheaf theory. --- 512.66 Homological algebra --- 512.73 Cohomology theory of algebraic varieties and schemes --- Abelian category. --- Abelian group. --- Adjoint functors. --- Affine variety. --- Alexander Grothendieck. --- Algebraic closure. --- Algebraic cycle. --- Algebraic equation. --- Algebraic space. --- Algebraically closed field. --- Artinian. --- Automorphism. --- Base change. --- Brauer group. --- CW complex. --- Cardinal number. --- Category of sets. --- Central simple algebra. --- Chow's lemma. --- Closed immersion. --- Codimension. --- Cohomology ring. --- Cohomology. --- Cokernel. --- Commutative diagram. --- Complex number. --- Dedekind domain. --- Derived category. --- Diagram (category theory). --- Direct limit. --- Discrete valuation ring. --- Divisor. --- Epimorphism. --- Equivalence class. --- Existential quantification. --- Fibration. --- Field of fractions. --- Fine topology (potential theory). --- Finite field. --- Finite morphism. --- Flat morphism. --- Functor. --- Fundamental class. --- Fundamental group. --- G-module. --- Galois cohomology. --- Galois extension. --- Galois group. --- Generic point. --- Group scheme. --- Gysin sequence. --- Henselian ring. --- Identity element. --- Inclusion map. --- Integral domain. --- Intersection (set theory). --- Inverse limit. --- Invertible sheaf. --- Isomorphism class. --- Lefschetz pencil. --- Local ring. --- Maximal ideal. --- Module (mathematics). --- Morphism of schemes. --- Morphism. --- Noetherian. --- Open set. --- Power series. --- Presheaf (category theory). --- Prime ideal. --- Prime number. --- Principal homogeneous space. --- Profinite group. --- Projection (mathematics). --- Projective variety. --- Quasi-compact morphism. --- Residue field. --- Riemann surface. --- Sheaf (mathematics). --- Sheaf of modules. --- Special case. --- Spectral sequence. --- Stein factorization. --- Subalgebra. --- Subcategory. --- Subgroup. --- Subring. --- Subset. --- Surjective function. --- Tangent space. --- Theorem. --- Topological space. --- Topology. --- Torsion sheaf. --- Torsor (algebraic geometry). --- Vector bundle. --- Weil conjecture. --- Yoneda lemma. --- Zariski topology. --- Zariski's main theorem. --- Geometrie algebrique --- Cohomologie

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