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  1. Science in China Series A: Mathematics
  2. Science in China Series A: Mathematics : Volume 55
  3. Science in China Series A: Mathematics : Volume 55, Issue 4, April 2012
  4. Shortening filtrations
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Science in China Series A: Mathematics : Volume 60
Science in China Series A: Mathematics : Volume 59
Science in China Series A: Mathematics : Volume 58
Science in China Series A: Mathematics : Volume 57
Science in China Series A: Mathematics : Volume 56
Science in China Series A: Mathematics : Volume 55
Science in China Series A: Mathematics : Volume 55, Issue 12, December 2012
Science in China Series A: Mathematics : Volume 55, Issue 11, November 2012
Science in China Series A: Mathematics : Volume 55, Issue 10, October 2012
Science in China Series A: Mathematics : Volume 55, Issue 9, September 2012
Science in China Series A: Mathematics : Volume 55, Issue 8, August 2012
Science in China Series A: Mathematics : Volume 55, Issue 7, July 2012
Science in China Series A: Mathematics : Volume 55, Issue 6, June 2012
Science in China Series A: Mathematics : Volume 55, Issue 5, May 2012
Science in China Series A: Mathematics : Volume 55, Issue 4, April 2012
Riemann boundary value problems and reflection of shock for the Chaplygin gas
Shortening filtrations
Representation dimension for Hopf actions
Groups with the same order and degree pattern
Variational minimizing parabolic and hyperbolic orbits for the restricted 3-body problems
The reason of Hopf’s and Oleinik’s proofs for countability of shocks being wrong
Affinely equivalent Kähler-Finsler metrics on a complex manifold
Self-maps of p-local infinite projective spaces
Optimal variational principle for backward stochastic control systems associated with Lévy processes
Efficient estimation for additive hazards regression with bivariate current status data
Jackknifed random weighting for Cox proportional hazards model
Checking for normality in linear mixed models
A three level linearized compact difference scheme for the Cahn-Hilliard equation
Analysis of a moving collocation method for one-dimensional partial differential equations
A direct product decomposition of QMV algebras
Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria
Negacyclic codes over Galois rings of characteristic 2$^{ a }$
Algorithms for computing the global infimum and minimum of a polynomial function
Science in China Series A: Mathematics : Volume 55, Issue 3, March 2012
Science in China Series A: Mathematics : Volume 55, Issue 2, February 2012
Science in China Series A: Mathematics : Volume 55, Issue 1, January 2012
Science in China Series A: Mathematics : Volume 54
Science in China Series A: Mathematics : Volume 53
Science in China Series A: Mathematics : Volume 52
Science in China Series A: Mathematics : Volume 51
Science in China Series A: Mathematics : Volume 50
Science in China Series A: Mathematics : Volume 49
Science in China Series A: Mathematics : Volume 48
Science in China Series A: Mathematics : Volume 47
Science in China Series A: Mathematics : Volume 46
Science in China Series A: Mathematics : Volume 45
Science in China Series A: Mathematics : Volume 44
Science in China Series A: Mathematics : Volume 43
Science in China Series A: Mathematics : Volume 42
Science in China Series A: Mathematics : Volume 41
Science in China Series A: Mathematics : Volume 40

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Shortening filtrations

Content Provider Springer Nature Link
Author Echs, Edgar E.
Copyright Year 2011
Abstract Let C be a set of modules. We argue that there is an ordinal κ such that if a module has a filtration by modules in C, then it has a filtration of length κ by direct sums of modules in C. As an application we give another way to prove a result of Saorín and Šťovíček and of Šťovíček.
Starting Page 687
Ending Page 693
Page Count 7
File Format PDF
ISSN 16747283
Journal Science in China Series A: Mathematics
Volume Number 55
Issue Number 4
e-ISSN 18691862
Language English
Publisher SP Science China Press
Publisher Date 2011-12-24
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Hill classes filtrations precovering Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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