Title of article
SHARP ELEMENTS IN d0-ALGEBRAS
Author/Authors
Avallone ، A. Dipartimento di Matematica, Informatica ed Economia - Universita della Basilicata , Vitolo ، Paolo Dipartimento di Matematica, Informatica ed Economia - Universita della Basilicata
From page
85
To page
103
Abstract
We introduce the notions of Sasaki mapping and of sharp elements on a d0-algebra. We investigate the relationships of sharp elements with Sasaki mappings and with central elements, thus generalizing some results known for D-lattices. Namely, we give a characterization of sharp elements, by means of Sasaki mappings, which extends a result of Bennett and Foulis; we also prove that an element is central if and only if it is a sharp element and every element is compatible with it: this generalizes a result of Riecanová.
Keywords
BCK , algebra , D , lattice , effect algebra , orthomodular lattice , Sasaki mapping , central element
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2753375
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