A Case Study in Basic Algebra

Clemens Ballarin

30 August 2019

Abstract

The focus of this case study is re-use in abstract algebra. It contains locale-based formalisations of selected parts of set, group and ring theory from Jacobson's Basic Algebra leading to the respective fundamental homomorphism theorems. The study is not intended as a library base for abstract algebra. It rather explores an approach towards abstract algebra in Isabelle.
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@article{Jacobson_Basic_Algebra-AFP,
  author  = {Clemens Ballarin},
  title   = {A Case Study in Basic Algebra},
  journal = {Archive of Formal Proofs},
  month   = August,
  year    = 2019,
  note    = {\url{http://isa-afp.org/entries/Jacobson_Basic_Algebra.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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