English

Domain theory and mirror properties in inverse semigroups

Rings and Algebras 2013-01-25 v1 Group Theory

Abstract

Inverse semigroups are a class of semigroups whose structure induces a compatible partial order. This partial order is examined so as to establish mirror properties between an inverse semigroup and the semilattice of its idempotent elements, such as continuity in the sense of domain theory.

Keywords

Cite

@article{arxiv.1301.5718,
  title  = {Domain theory and mirror properties in inverse semigroups},
  author = {Paul Poncet},
  journal= {arXiv preprint arXiv:1301.5718},
  year   = {2013}
}

Comments

15 pages. The final publication is available at www.springerlink.com. See http://link.springer.com/article/10.1007%2Fs00233-012-9392-4?LI=true