Generalizing the concept of quantum triads

Radek Šlesinger

doi:10.29007/n4kv

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Generalizing the concept of quantum triads

3 pages•Published: July 28, 2014

Radek Šlesinger

Abstract

The concept of quantum triad has been introduced by D. Kruml, where for a given pair of quantale modules L, R over a common quantale Q, endowed with a bimorphism (a `bilinear map') to Q, a construction equipping L and R with additional module structure and another bimorphism, both compatible with the existing bimorphism and action of the quantale, was presented. As the original concept was only defined in a specific setting of categories of quantale modules, we extend it to a more universal one, which can be applied to other common algebraic structures.

Keyphrases: module, monoid, triad

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 208--210

Links:	https://easychair.org/publications/paper/KQj4
	https://doi.org/10.29007/n4kv

BibTeX entry

@inproceedings{TACL2013:Generalizing_concept_of_quantum,
  author    = {Radek \textbackslash{}v\{S\}lesinger},
  title     = {Generalizing the concept of quantum triads},
  booktitle = {TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic},
  editor    = {Nikolaos Galatos and Alexander Kurz and Constantine Tsinakis},
  series    = {EPiC Series in Computing},
  volume    = {25},
  pages     = {208--210},
  year      = {2014},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/KQj4},
  doi       = {10.29007/n4kv}}

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