English

Quantum triads: an algebraic approach

Category Theory 2008-01-04 v1 Operator Algebras Rings and Algebras

Abstract

A concept of quantum triad and its solution is introduced. It represents a common framework for several situations where we have a quantale with a right module and a left module, provided with a bilinear inner product. Examples include Van den Bossche quantaloids, quantum frames, simple and Galois quantales, operator algebras, or orthomodular lattices.

Keywords

Cite

@article{arxiv.0801.0504,
  title  = {Quantum triads: an algebraic approach},
  author = {David Kruml},
  journal= {arXiv preprint arXiv:0801.0504},
  year   = {2008}
}
R2 v1 2026-06-21T09:59:14.816Z