English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper deals with join-semilattices whose sections, i.e. principalfilters, are pseudocomplemented lattices. The pseudocomplement of a\vee b inthe section [b,1] is denoted by a\rightarrow b and can be considered as theconnective implication in a certain kind of intuitionistic logic. Contrary tothe case of Brouwerian semilattices, sections need not be distributivelattices. This essentially allows possible applications in non-classicallogics. We present a connection of the semilattices mentioned in the beginningwith so-called non-classical implication semilattices which can be convertedinto I-algebras having everywhere defined operations. Moreover, we relate ourstructures to sectionally and relatively residuated semilattices which meansthat our logical structures are closely connected with substructural logics. Weshow that I-algebras form a congruence distributive, 3-permutable and weaklyregular variety.

Join-semilattices whose principal filters are pseudocomplemented lattices