English

A lattice-ordered monoid on multilayer networks

Commutative Algebra 2023-09-01 v1 Group Theory Operator Algebras

Abstract

In the present paper we introduce a lattice-ordered partial monoid structure on a suitable set of multilayer networks. We first study a kind of mappings that preserve the partial order and describe the order structure. After that we define the lattice-ordered monoid and deduce the main properties. lattice-ordered monoid, multilayer network, interior mapping, partial operation.

Keywords

Cite

@article{arxiv.2308.16630,
  title  = {A lattice-ordered monoid on multilayer networks},
  author = {Joaquin Diaz Boils and Orlando Galdames Bravo},
  journal= {arXiv preprint arXiv:2308.16630},
  year   = {2023}
}
R2 v1 2026-06-28T12:09:14.133Z