• On endomorphisms of degree two

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0179-0188

    • Keywords

       

      Composition of quadratic forms; commutative rings; tensor products; conjugacy class of endomorphism

    • Abstract

       

      LetR be a commutative ring, Δ∈R and letRΔ be the set of conjugacy classes ofR-module endomorphismsf satisfyingf ∘ f = Δ·id. Using a certain subspace of the tensor product of two endomorphisms a commutative and associative product on Rx0394; can be defined. ForR = ℤ a generalization of the composition of quadratic forms arises as a special case.

    • Author Affiliations

       

      Max Koecher1

      1. Mathematisches Institut der Westfälischen-Wilhelms-Universität Münster, Einsteinstraße 62, Münster - 4400, FRG
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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