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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/978-81-322-2247-7_10

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1573-8795

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Global dimension of Noetherian serial rings

Authors: N A Bronickaya V V Kirichenko
Publish Date: 2011/08/26
Volume: 177, Issue: 6, Pages: 801-
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Abstract

The global dimension of Noetherian serial rings is studied It is proved that if an indecomposable serial ring has infinite global dimension then it is Artinian and its quiver is a simple cycle Using methods of the theory of right serial quivers we give an upper estimate on the Loewy length of Artinian rings of finite global dimension Applications to the calculation of the global dimension of tiled orders of width 2 are given

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  2. Enumerating functions for nonnegative integer coordinates of L -dimensional vectors
  3. Folded fans and string functions
  4. Investigation of the prefracture zone at the tip of a mode I crack reaching a nonsmooth interface of an elastic media
  5. Vortex singularities of optimal strategies at the beginning of motion in search problems on n -dimensional Riemannian manifolds
  6. On Stabilization of Potential Systems by Circular Forces
  7. On the absolute stability of imprecise large-scale singularly perturbed systems
  8. Galilei’s relativity principle for a system of reaction-convection-diffusion equations
  9. On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations
  10. Precise Estimates of the Walk Speed of Solutions of Second-Order Linear Systems
  11. Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations
  12. On homogeneous extensions of finite predicate systems
  13. Efficient Approach to the Evaluation of Dynamic Stresses in Layered Circular Plates Based on the Prudnikov Formula for the Inverse Laplace Transformation
  14. On independence numbers of distance graphs with vertices in {-1,0,1} n : estimates, conjectures, and applications to the Nelson–Erdős–Hadwiger problem and the Borsuk problem
  15. Codimension and colength sequences of algebras and growth phenomena
  16. Generalized subrings of arithmetic rings
  17. The problem of product of conformal radii of nonoverlapping domains
  18. Averaging in Cascade Junctions with a “Wide” Transmission Domain
  19. On some constructive methods for the matrix Riemann–Hilbert boundary-value problem
  20. The Structure of Finite Distributive Lattices
  21. On skew-symmetric and general deformations of Lax pseudodifferential operators
  22. Diffraction by a Grating Consisting of Absorbing Screens of Different Height. New Equations
  23. Characterization of Populations by Identically Distributed Linear Statistics
  24. Inherently Non-Finitely Generated Varieties of Aperiodic Monoids with Central Idempotents
  25. The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point
  26. Pseudo-involutions
  27. Characterization of radon integrals as linear functionals
  28. Oriented Degree of Fredholm Maps: Finite-Dimensional Reduction Method
  29. Simple and pseudosimple algebras with operators
  30. Simple and pseudosimple algebras with operators
  31. Typical equivalence of linear groups and other algebraic systems
  32. Axially Symmetric Temperature Field of a Truncated Conic Shell with Variable Heat-Transfer Coefficients
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  34. Completely integrally closed modules and rings. II
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  38. Bifurcations in a Boundary-Value Problem of Nanoelectronics
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  42. Almost periodic homogenization of a generalized Ladyzhenskaya model for incompressible viscous flow
  43. Idempotent functors and localizations in categories of modules and Abelian groups
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  60. Dynamic stresses in a compound body with circular crack under sliding contact on an interface
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  64. Homomorphic stability of Abelian groups
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  69. The topological jacobson radical of rings. I
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