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Exact sequence
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21	Motif Discovery Upper Bound An Upper Bound on the Hardness of Exact Matrix Based Motif Discovery Paul Horton & Wataru Fujibuchi Computational Biology Research Center Tokyo, Japan Add to Reading List Source URL: www.cs.ucr.edu Language: English - Date: 2005-07-08 16:23:24 DNA Science Physics Sequence motif Bioinformatics Position-specific scoring matrix Matrix
22	DIFFERENTIAL GRADED ALGEBRA Contents 1. Introduction 2. Conventions 3. Differential graded algebras Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-22 10:42:40 D-module Module Graded algebra Chain complex Exact sequence Spectral sequence Group cohomology Abstract algebra Algebra Homological algebra
23	HOMOLOGICAL ALGEBRA Contents 1. Introduction 2. Basic notions 3. Preadditive and additive categories Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-22 10:42:28 Homological algebra Additive categories Isomorphism theorems Snake lemma Exact sequence Epimorphism Cokernel Abelian category Image Abstract algebra Category theory Mathematics
24	´ DUALITY AND DEFORMATIONS OF POINCARE ALGEBRAS BERNHARD HANKE Abstract. Let p be a prime number and X a finite dimensional connected Z/p-CW complex. If H ∗ (X; Fp ) is a Poincar´e duality algebra, then by a Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Algebraic topology Spectral sequence Closed and exact differential forms Duality Cohomology Vertex operator algebra Differential form Abstract algebra Algebra Mathematics
25	SPECTRAL SEQUENCES MATTHEW GREENBERG 1. Introduction Definition 1. Let a ≥ 1. An a-th stage spectral (cohomological) sequence consists of the following data: Add to Reading List Source URL: www.math.mcgill.ca Language: English - Date: 2008-10-03 11:29:58 Spectral sequences Group theory Algebraic topology Functors Grothendieck spectral sequence Derived functor Serre spectral sequence Group cohomology Exact functor Abstract algebra Algebra Homological algebra
26	Chapter 9 Cohomology and Spectral Sequences This appendix gives a short but intense introduction to cohomology and spectral Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-06-11 11:55:25 Derived functor Sheaf Spectral sequence Injective module Projective module Exact sequence Homology Injective object Projective object Abstract algebra Homological algebra Algebra
27	Theory and Applications of Categories, Vol. 26, No. 3, 2012, pp. 60–96. ON DIAGRAM-CHASING IN DOUBLE COMPLEXES GEORGE M. BERGMAN Abstract. We construct, for any double complex in an abelian category, certain “short- Add to Reading List Source URL: www.emis.de Language: English - Date: 2012-02-08 09:45:00 Category theory Lemmas Snake lemma Five lemma Exact sequence Natural transformation Commutative diagram Spectral sequence Homology Abstract algebra Homological algebra Mathematics
28	Ext Groups and Ext Functors In this note we discuss the Hom and Ext functors and their connection with extensions of Abelian groups. The theory we develop has an analogue in the category of R-modules for any ring R; how Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2002-11-26 15:03:54 Algebra Ext functor Hom functor Functor Snake lemma Exact sequence Category of abelian groups Derived functor Approximately finite dimensional C*-algebra Abstract algebra Homological algebra Category theory
29	´ DUALITY AND DEFORMATIONS OF POINCARE ALGEBRAS BERNHARD HANKE Abstract. Let p be a prime number and X a finite dimensional connected Z/p-CW complex. If H ∗ (X; Fp ) is a Poincar´e duality algebra, then by a Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:00 Algebraic topology Spectral sequence Closed and exact differential forms Duality Cohomology Vertex operator algebra Differential form Abstract algebra Algebra Mathematics
30	Part II. DG-modules and equivariant cohomology. The main purpose of the three sections 10,11,12 is to prove theorem[removed]the detailed algebraic description of the categories Db(pt) and D+(pt) for a connected Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2008-09-06 15:25:16 Homological algebra Spectral sequence Derived functor Sheaf D-module Exact functor Adjoint functors Ext functor Group cohomology Abstract algebra Algebra Mathematics

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