Generalizing orthomodularity to unsharp contexts: properties, blocks, residuation-Reference-Cited by-同舟云学术

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Generalizing orthomodularity to unsharp contexts: properties, blocks, residuation

Published:2024-05-14 Issue: Volume: Page:
ISSN:1367-0751
Container-title:Logic Journal of the IGPL
language:en
Short-container-title:

Author:

Giuntini Roberto¹,Ledda Antonio²,Vergottini Gandolfo³

Affiliation:

1. Università di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italia, and Institute for Advanced Study, Technische Universität, München, Germany, giuntini@unica.it

2. Università di Cagliari , via Is Mirrionis 1, 09123, Cagliari, Italia, antonio.ledda@unica.it

3. Università di Cagliari, via Is Mirrionis 1, 09123, Cagliari, Italia, gandolfo.vergottini@unica.it

Abstract

Abstract This paper essentially originates from the notion of a block in an orthomodular lattice. What happens to orthomodularity when orthocomplementation is weakened? We will show that, under definitely smooth conditions, a great deal of the theory of orthomodular lattices carries over naturally.

Funder

PLEXUS

Federal Ministry of Education and Research

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzae076/57670696/jzae076.pdf

Reference46 articles.

1. “A survey of stone algebras”. Proceedings of the Conference on Universal;Balbes;Algebra,1979

2. Orthomodular Lattices

3. The structure of residuated lattices;Blount;International Journal of Algebra and Computation,2003

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