English

Notes on MV-modules over integral domains

Logic 2015-04-28 v1

Abstract

An MV-module is an MV-algebra endowed with a scalar multiplication with scalars in a PMV-algebra (i.e. an MV-algebra endowed with a binary "ring-like" product). We investigate the class of semisimple MV-modules over a semisimple and totally ordered integral domain, and we prove an adjunction with a special class of linear spaces.

Keywords

Cite

@article{arxiv.1504.07016,
  title  = {Notes on MV-modules over integral domains},
  author = {Serafina Lapenta},
  journal= {arXiv preprint arXiv:1504.07016},
  year   = {2015}
}
R2 v1 2026-06-22T09:23:14.857Z