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Finite ring
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61	COMMUNICATIONS IN ALGEBRA, 10(14), 1517–[removed]RINGS WITH FINITE REDUCED RANK John A. Beachy Department of Mathematical Sciences Northern Illinois University Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2014-07-10 15:57:25 Ring theory Torsion Injective module Associated prime Finitely-generated module Annihilator Radical of a ring Uniform module Module Abstract algebra Algebra Module theory
62	Algebra - Spring 2012 Daren Cheng Jesse Madnick Last updated: September 2013 Acknowledgments & Disclaimers Some of the solutions contained herein are my own, but many are not. I am indebted to Daren Cheng for sharing wit Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-07-04 08:19:56 Field theory Finite field Free abelian group Presentation of a group Noetherian ring Module theory Representation theory of finite groups Finitely-generated module Abstract algebra Algebra Ring theory
63	On reduced rank of triangular matrix rings Abigail C. Bailey and John A. Beachy Abstract: We determine conditions under which a generalized triangular matrix ring has finite reduced rank, in the general torsiontheoretic Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2014-09-21 00:52:16 Module theory Algebraic structures Homological algebra Ideals Torsion Finitely-generated module Uniform module Matrix ring Module Abstract algebra Algebra Ring theory
64	MOSCOW MATHEMATICAL JOURNAL Volume 3, Number 1, January–March 2003, Pages 37–43 THE CLASSIFICATION OF FINITE-DIMENSIONAL TRIANGULAR HOPF ALGEBRAS OVER AN ALGEBRAICALLY CLOSED FIELD OF CHARACTERISTIC 0 Add to Reading List Source URL: www.ams.org Language: English - Date: 2003-05-20 08:05:40 Hopf algebra Representation theory Algebras Ring theory Quantum group Cartan subalgebra Coalgebra Weak Hopf algebra Frobenius algebra Abstract algebra Monoidal categories Lie algebras
65	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
66	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
67	J. Cryptology[removed]: 39–50 DOI: [removed]s00145[removed] © 2006 International Association for Cryptologic Research Deterministic Polynomial-Time Equivalence of Add to Reading List Source URL: www.jscoron.fr Language: English - Date: 2014-12-02 03:11:30 Algebra Polynomial ring Polynomial Euclidean algorithm Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Polynomials Mathematics
68 $Field theory / Algebraically closed field / Fundamental theorem of algebra / Irreducible polynomial / Finite field / Field / Polynomial ring / Separable extension / Partial fraction / Abstract algebra / Algebra / Mathematics$	Topics In Algebra Elementary Algebraic Geometry David Marker Spring[removed]Contents Add to Reading List Source URL: homepages.math.uic.edu Language: English - Date: 2004-01-31 19:22:28 Field theory Algebraically closed field Fundamental theorem of algebra Irreducible polynomial Finite field Field Polynomial ring Separable extension Partial fraction Abstract algebra Algebra Mathematics
69	INTRODUCTION TO ALGEBRAIC GEOMETRY STEVEN DALE CUTKOSKY Throughout these notes all rings will be commutative with identity. k will be an algebraically closed field. 1. Preliminaries on Ring Homomorphisms Lemma 1.1. Suppo Add to Reading List Source URL: www.math.missouri.edu Language: English - Date: 2012-05-02 14:27:36 Ring theory Algebraic geometry Commutative algebra Algebraic structures Mathematical structures Algebraic variety Polynomial ring Finite morphism Integral element Abstract algebra Algebra Mathematics
70	On the Regularity of Lossy RSA: Improved Bounds and Applications to Padding-Based Encryption Adam Smith∗ Ye Zhang∗ Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-12 20:10:40 Modular arithmetic Finite fields Number theory XTR RSA Quadratic residue Abstract algebra Mathematics Ring theory

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