Modal operators on MV-algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2006 Latin Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Mathematica Bohemica, volume 131, pages 39-48 (issn: 0862-7959, eissn: 2464-7136,

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Authors: Harlenderová, Magdalena; Rachůnek, Jiří;

doi: 10.21136/mb.2006.134083

Modal operators on MV-algebras

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Abstract

Summary: Modal operators on Heyting algebras were introduced by \textit{D. S. Macnab} [Algebra Univers. 12, 5--29 (1981; Zbl 0459.06005)]. Here, we introduce analogously modal operators on MV-algebras and study their properties. Moreover, modal operators on certain derived structures are investigated.

Keywords

MV-algebras, residuated \(\ell \)-monoid, Ordered semigroups and monoids, closure operator

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