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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 28
  3. Acta Mathematica Sinica, English Series : Volume 28, Issue 3, March 2012
  4. Envelopes of commutative rings
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 28, Issue 12, December 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 11, November 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 10, October 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 9, September 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 8, August 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 7, July 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 6, June 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 5, May 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 4, April 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 3, March 2012
Closed 3-stop center and periphery in graphs
Domination numbers of undirected toroidal mesh
The limit case of a domination property
On the number of polynomials with small discriminants in the Euclidean and p-adic metrics
Projections on weak*-closed subspace of dual Banach algebras
Yetter-Drinfeld modules over the Hopf-Ore extension of the group algebra of dihedral group
Existence and algorithm of solutions for mixed equilibrium problems and bilevel mixed equilibrium problems in Banach spaces
Computing the girth of knots
Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces
Envelopes of commutative rings
The dimension vectors of indecomposable modules of cluster-tilted algebras and the Fomin-Zelevinsky denominators conjecture
Degree distribution of a scale-free random graph model
Toeplitz operators with BMO symbols of several complex variables
Homoclinic solutions for a class of second order discrete Hamiltonian systems
On c*-normal subgroups in finite groups
Convergence theorems of common elements for equilibrium problems and fixed point problems
Criteria for the single-valued metric generalized inverses of multi-valued linear operators in banach spaces
Blow-up of smooth solutions to the compressible fluid models of Korteweg type
Acta Mathematica Sinica, English Series : Volume 28, Issue 2, February 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 1, January 2012
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Envelopes of commutative rings

Content Provider SpringerLink
Author Saorín, Manuel Parra, Rafael
Copyright Year 2012
Abstract Given a significative class ℱ of commutative rings, we study the precise conditions under which a commutative ring R has an ℱ-envelope. A full answer is obtained when ℱ is the class of fields, semisimple commutative rings or integral domains. When ℱ is the class of Noetherian rings, we give a full answer when the Krull dimension of R is zero and when the envelope is required to be epimorphic. The general problem is reduced to identifying the class of non-Noetherian rings having a monomorphic Noetherian envelope, which we conjecture is the empty class.
Ending Page 580
Page Count 20
Starting Page 561
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 3
Volume Number 28
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2011-11-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Krull dimension Structure, classification theorems envelope Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) Noetherian ring local ring Mathematics artinian ring
Content Type Text
Resource Type Article
Subject Applied Mathematics
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