English

The initial meadows

Rings and Algebras 2008-06-16 v1

Abstract

A \emph{meadow} is a commutative ring with an inverse operator satisfying 01=00^{-1}=0. We determine the initial algebra of the meadows of characteristic 0 and show that its word problem is decidable.

Cite

@article{arxiv.0806.2256,
  title  = {The initial meadows},
  author = {Inge Bethke and Piet Rodenburg},
  journal= {arXiv preprint arXiv:0806.2256},
  year   = {2008}
}

Comments

11 pages

R2 v1 2026-06-21T10:50:20.692Z