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Commutative algebra
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521	THE FROBENIUS FUNCTOR AND INJECTIVE MODULES THOMAS MARLEY Abstract. We investigate commutative Noetherian rings of prime characteristic such that the Frobenius functor applied to any injective module is again injective. Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2012-07-08 14:13:56 Homological algebra Commutative algebra Injective module Flat module Module Completion Artinian module Exact functor Associated prime Abstract algebra Algebra Module theory
522	ON ASSOCIATED GRADED RINGS OF NORMAL IDEALS Sam Huckaba and Thomas Marley 1. Introduction This paper was inspired by a theorem concerning the depths of associated graded rings Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2001-01-19 11:20:48 Proj construction Cohen–Macaulay ring Integrally closed domain Gorenstein ring Depth Integral element Hilbert series and Hilbert polynomial Noetherian ring Height Abstract algebra Algebra Commutative algebra
523	JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 20, Number 2, April 2007, Pages 495–517 S[removed][removed]Article electronically published on September 19, 2006 Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2007-01-18 09:38:51 Modular arithmetic Algebraic number theory Commutative algebra Covering system Chinese remainder theorem Quadratic residue Euclidean algorithm Mathematics Abstract algebra Number theory
524	THE AUSLANDER-BRIDGER FORMULA AND THE GORENSTEIN PROPERTY FOR COHERENT RINGS LIVIA HUMMEL AND THOMAS MARLEY Abstract. The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules o Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2009-02-25 18:09:33 Ring theory Commutative algebra Homological algebra Finitely-generated module Projective module Depth Flat module Local ring Commutative ring Abstract algebra Algebra Module theory
525	CHAPTER II THE GROTHENDIECK GROUP K0 There are several ways to construct the “Grothendieck group” of a mathematical object. We begin with the group completion version, because it has been the most Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-20 13:51:22 Ring theory Module theory Homological algebra Commutative algebra Grothendieck group Monoid Projective module Module Torsion Abstract algebra Algebra Algebraic structures
526	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
527	Cohen-Macaulay dimension for coherent rings Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2014-04-24 12:04:13 Ring theory Cohen–Macaulay ring Commutative ring Noetherian ring Coherent ring Gorenstein ring Krull dimension Ring Regular ring Abstract algebra Algebra Commutative algebra
528	ALGEBRAIC NUMBER THEORY J.S. MILNE Abstract. These are the notes for a course taught at the University of Michigan in F92 as Math 676. They are available at www.math.lsa.umich.edu/∼jmilne/. Please send comments and cor Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:46:26 Algebraic number theory Commutative algebra Field theory Number theory Algebraic number field Ideal class group Ring of integers Unique factorization domain Integral domain Abstract algebra Algebra Ring theory
529 $Field theory / Polynomial / Formal power series / Hopf algebra / Finite field / Partial fraction / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Abstract algebra / Algebra$	R-Algebras of Linear Recurrent Sequences Umberto Cerruti and Francesco Vaccarino* Introduction Given any commutative ring R, with identity, we prove that the set of all the linear recurrent sequences in R is an R-algebra Add to Reading List Source URL: alpha01.dm.unito.it Language: English - Date: 2007-06-04 11:58:42 Field theory Polynomial Formal power series Hopf algebra Finite field Partial fraction Factorization of polynomials over a finite field and irreducibility tests Mathematics Abstract algebra Algebra
530	Physica D 152–[removed]–77 Commutative partial differential operators Alex Kasman a,∗ , Emma Previato b a Add to Reading List Source URL: kasmana.people.cofc.edu Language: English - Date: 2008-08-12 12:39:27 Multivariable calculus Ordinary differential equations Polynomials Determinants Differential operators Partial differential equation Resultant Polynomial Constant coefficients Mathematical analysis Mathematics Algebra

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