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Ring spectrum
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51	EXERCISES Contents[removed]. Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:09:34 Ring theory Spectrum of a ring Ring Noetherian ring Polynomial ring Irreducible component Ideal Algebraic number field Completion Abstract algebra Algebra Commutative algebra
52	PROPERTIES OF ALGEBRAIC SPACES Contents 1. Introduction 2. Conventions 3. Separation axioms Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:09:11 Scheme theory Sheaf theory Étale morphism Algebraic space Grothendieck topology Sheaf Coherent sheaf Scheme Spectrum of a ring Abstract algebra Algebraic geometry Geometry
53	COHOMOLOGY OF SCHEMES Contents 1. Introduction 2. Cech cohomology of quasi-coherent sheaves 3. Vanishing of cohomology Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:54 Scheme theory Homological algebra Algebraic geometry Algebraic topology Coherent sheaf Sheaf Ideal sheaf Proj construction Spectrum of a ring Abstract algebra Algebra Sheaf theory
54	SCHEMES Contents 1. Introduction 2. Locally ringed spaces 3. Open immersions of locally ringed spaces Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:50 Sheaf theory Scheme theory Ideal sheaf Sheaf Ringed space Spectrum of a ring Coherent sheaf Proj construction Scheme Abstract algebra Algebraic geometry Algebra
55	SEMINAR NOTES: AFFINE GRASSMANNIAN AND THE LOOP GROUP (OCT. 13, 2009) DENNIS GAITSGORY Notes written by D. Gaitsgory and N. Rozenblyum 1. The Beauville-Laszlo theorem Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2009-10-17 17:46:41 Scheme theory Affine Grassmannian Spectrum of a ring Proj construction Scheme Beauville–Laszlo theorem Grassmannian Vector bundle Ample line bundle Abstract algebra Geometry Algebraic geometry
56	DEFINITIONS: OPERADS, ALGEBRAS AND MODULES J. P. MAY Let S be a symmetric monoidal category with product ⊗ and unit object κ. Definition 1. An operad C in S consists of objects C (j), j ≥ 0, a unit map η : κ → C Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2002-02-19 11:36:00 Category theory Algebraic structures Operad theory Monoidal categories Algebraic topology Monoid E∞-operad Highly structured ring spectrum Algebra Abstract algebra Mathematics
57	Theory and Applications of Categories, Vol. 29, No. 6, 2014, pp. 188–197. ANALYTIC SPECTRUM OF RIG CATEGORIES ´ ERIC ´ FRED Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-04-21 12:11:00 Algebraic geometry Linear algebra Algebraic structures Field theory Norm Sheaf Ring Algebraic number field Analytic space Abstract algebra Algebra Mathematics
58	Theory and Applications of Categories, Vol. 28, No. 16, 2013, pp. 435–475. BOUNDED ARCHIMEDEAN `-ALGEBRAS AND GELFAND-NEUMARK-STONE DUALITY GURAM BEZHANISHVILI, PATRICK J. MORANDI, BRUCE OLBERDING Abstract. By Gelfand Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-07-15 13:09:00 Adjoint functors C-algebras Reflective subcategory Spectrum of a ring Ideal Equivalence of categories Banach algebra Approximately finite dimensional C-algebra Abstract algebra Algebra Algebraic structures
59	Contemporary Mathematics Gluing Schemes and a Scheme Without Closed Points Karl Schwede Communicated by S´ Add to Reading List Source URL: www-personal.umich.edu Language: English - Date: 2008-01-10 14:00:51 Scheme theory Sheaf theory Commutative algebra Spectrum of a ring Scheme Ideal sheaf Sheaf Universal property Constructible universe Abstract algebra Algebraic geometry Mathematics
60	MOSCOW MATHEMATICAL JOURNAL Volume 3, Number 1, January–March 2003, Pages 205–247 HODGE STRUCTURE ON THE FUNDAMENTAL GROUP AND ITS APPLICATION TO p-ADIC INTEGRATION VADIM VOLOGODSKY Add to Reading List Source URL: www.ams.org Language: English - Date: 2003-05-20 08:05:40 Homological algebra Topos theory Differential topology Vector bundle Vectors Étale morphism Spectrum of a ring Grothendieck topology Hodge structure Abstract algebra Algebra Algebraic topology

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