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Monoid rings and related topics

  • Askar A. Tuganbaev
Part of the Mathematics and Its Applications book series (MAIA, volume 449)

Abstract

Let ϕ be an injective endomorphism of a ring A. We denote by Aℓ[[x, ϕ] the left skew (power) series ring consisting of formal series \( \sum\nolimits_{1 = 0}^\infty {a_i x^i }\) of the variable x with canonical coefficients aiA,where addition is defined naturally and multiplication is defined by the rule xi a = ϕ i(a)xi.

Keywords

Division Ring Regular Ring Quaternion Algebra Artinian Ring Central Idempotent 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Askar A. Tuganbaev
    • 1
  1. 1.Moscow Power Engineering InstituteTechnological UniversityMoscowRussia

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