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Algebraic structure
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441	Computing the First Few Betti Numbers of Semi-algebraic Sets in Single Exponential Time Saugata Basu 1 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:07 Group theory Algebraic topology Mathematical structures Algebraic geometry Betti number Spectral sequence Singular homology Field Structure Algebra Abstract algebra Mathematics
442	iii Introduction In 1965 I first taught an undergraduate course in abstract algebra. It was fun to teach because the material was interesting and the class was outstanding. Five of those students later earned a Ph.D. in Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:58 Linear algebra Mathematics education Abstract algebra Calculus Structure Boolean algebra Emmy Noether Algebraic structures Mathematics Algebra
443	Workshop on group schemes and p-divisible groups: Homework[removed]i) Using the structure theorem and Frobenius morphisms, prove that a finite group scheme over a field is killed by its order. (Exer. 3(ii) in HW1 gives a Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:44:58 Group scheme Barsotti–Tate group Étale morphism Spectrum of a ring Flat topology Frobenius endomorphism Flat module Grothendieck topology Commutative ring Abstract algebra Algebra Algebraic geometry
444	ON THE NUMBER OF TOPOLOGICAL TYPES OCCURRING IN A PARAMETRIZED FAMILY OF ARRANGEMENTS SAUGATA BASU Abstract. Let S(R) be an o-minimal structure over R, T ⊂ Rk1 +k2 +` a closed definable set, and π1 : Rk1 +k2 +` → Rk Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:48 Homotopy CW complex Degree of a continuous mapping Homeomorphism Homotopy group Homotopy lifting property Topology Homotopy theory Algebraic topology
445	Dualities in Lattice Theory Patrick J. Morandi September 9, 2005 In this note we prove several duality theorems in lattice theory. We also discuss the connection between spectral spaces and Priestley spaces, and interpre Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2005-09-09 19:22:45 Structure Lattice theory Topology Algebraic structures Category theory Priestley space Filter Boolean algebra Ideal Mathematics Order theory Abstract algebra
446	CLASSIFICATION OF PSEUDO-REDUCTIVE GROUPS BRIAN CONRAD AND GOPAL PRASAD Abstract. In an earlier work [CGP], a general theory for pseudo-reductive groups G over arbitrary fields k was developed, and a structure theorem wa Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2013-12-17 09:51:09 Representation theory Lie groups Reductive group Root datum Field extension Separable extension Unipotent Gelfand pair Symmetric space Abstract algebra Algebra Algebraic groups
447	CHAPTER V THE FUNDAMENTAL THEOREMS OF HIGHER K-THEORY We now restrict our attention to exact categories and Waldhausen categories, where the extra structure enables us to use the following types of comparison theorems: Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-05 22:33:34 Homological algebra Algebraic topology Functors Homotopy theory Adjoint functors Exact functor Homotopy group Sheaf Morita equivalence Abstract algebra Algebra Topology
448	CHAPTER I PROJECTIVE MODULES AND VECTOR BUNDLES The basic objects studied in algebraic K-theory are projective modules over a ring, and vector bundles over schemes. In this first chapter we introduce the cast Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-01 14:36:13 Ring theory Homological algebra Algebraic structures Commutative algebra Projective module Structure theorem for finitely generated modules over a principal ideal domain Module Commutative ring Torsion Abstract algebra Algebra Module theory
449	(Dated: February 1, [removed]R UP Add to Reading List Source URL: www.medical-science.site88.net Language: English - Date: 2013-01-31 20:14:10 Networks Mathematics Algebraic graph theory Modularity Huffman coding Random walk Markov chain Community structure Statistics Network theory Graph theory
450	In: J. Math. Phys., [removed]August 1993 pp. 3642–[removed]Lie groups as spin groups C. Doran Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, United Kingdom D. Hestenes Add to Reading List Source URL: www.mrao.cam.ac.uk Language: English - Date: 1999-04-30 03:42:33 Multilinear algebra Geometric algebra Vector calculus Linear algebra Bivector Multivector Exterior algebra Algebraic structure Blade Algebra Mathematics Abstract algebra

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