Monoid rings and related topics

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


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.


Division Ring Regular Ring Quaternion Algebra Artinian Ring Central Idempotent 
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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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