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$R$-linear endomorphisms of $(R)_{n}$ preserving invariants

About this Title

Bernard R. McDonald

Publication: Memoirs of the American Mathematical Society
Publication Year: 1983; Volume 46, Number 287
ISBNs: 978-0-8218-2287-6 (print); 978-1-4704-0697-4 (online)
DOI: https://doi.org/10.1090/memo/0287
MathSciNet review: 719156
MSC: Primary 15A33; Secondary 13C10, 15A72, 16A42

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Table of Contents

Chapters

  • (A) Introduction
  • (B) Idempotents and linear maps of $(R)_n$
  • (C) Equivalence transformations and involutions
  • (D) Invertible submodules of $(R)_n$ and equivalence transformations
  • (E) Rank one endomorphisms
  • (F) The local case
  • (G) The global case
  • (H) Applications