English, Article edition: VAGUE RINGS RANDALL CRIST; JOHN N. MORDESON

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Physical Description
  • article
Language
  • English

Edition details

Title
  • VAGUE RINGS
Author
  • RANDALL CRIST
  • JOHN N. MORDESON
Physical Description
  • article
Notes
  • We examine the notion of a vague ring. We develop a method of constructing vague rings which can be used in the construction of other algebraic structures. We make a connection between vague rings and M-adic topologies on rings and also to the solution of nonlinear systems of equations and to the convergence of Cauchy sequences in power series rings. We introduce the notion of Ω-vagueness which we apply to the integration and differentiation of fuzzy functions.
  • Vague ring, vague ideal, fuzzy function, nonlinear systems of equations, differentiation, integration, affine varieties
  • RePEc:wsi:nmncxx:v:01:y:2005:i:02:p:213-228
Language
  • English
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