English

Some algebraic and topological properties of subspaces of (pre)orders

Group Theory 2021-02-17 v2 Commutative Algebra

Abstract

We study algebraic and topological properties of subsets of preorders on a group. In particular we study properties of the composition of two preorders, generalize a topological theorem of \cite{S} in the case of standard orders and show the same theorem in the case of standard preorders. We also show a property of standard valuations.

Keywords

Cite

@article{arxiv.2010.15681,
  title  = {Some algebraic and topological properties of subspaces of (pre)orders},
  author = {Julie Decaup},
  journal= {arXiv preprint arXiv:2010.15681},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1912.03928