English

The Euler valuation on MV-algebras

Rings and Algebras 2014-01-23 v1

Abstract

Every finitely presented MV-algebra A has a unique idempotent valuation E assigning value 1 to every basic element of A. For each element a of A, E(a) turns out to coincide with the Euler characteristic of the open set of maximal ideals m of A such that a/m is nonzero.

Keywords

Cite

@article{arxiv.1401.5640,
  title  = {The Euler valuation on MV-algebras},
  author = {Daniele Mundici and Andrea Pedrini},
  journal= {arXiv preprint arXiv:1401.5640},
  year   = {2014}
}

Comments

6 pages. Submitted paper

R2 v1 2026-06-22T02:52:10.474Z