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On a topological duality for Stonean Hilbert algebras

Abstract

The aim of this paper is to present a topological duality for the algebraic category of Stonean Hilbert algebras and certain morphisms between them, called ¬-morphisms. Also, we apply this duality to characterize the Heyting algebra of α-ideals of a Stonean Hilbert algebra.

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BibTeX
@misc{calomino2026topological,
  title = {{On a topological duality for Stonean Hilbert algebras}},
  author = {Ismael Calomino and Daniela Montangie},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08828},
  eprint = {2609.08828},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08828},
}
RIS
TY  - UNPB
TI  - On a topological duality for Stonean Hilbert algebras
AU  - Ismael Calomino
AU  - Daniela Montangie
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08828
UR  - https://arxiv.org/abs/2609.08828
AB  - The aim of this paper is to present a topological duality for the algebraic category of Stonean Hilbert algebras and certain morphisms between them, called ¬-morphisms. Also, we apply this duality to characterize the Heyting algebra of α-ideals of a Stonean Hilbert algebra.
ER  -