(⊙, ∨)-Derivations on EMV-algebras and EBL-algebras

Tao Liu, Hongxing Liu

Abstract


In the paper, we will study (∘, ∨)-derivations on EMV-algebras and EBL-algebras. Firstly, we define the notions of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, and we also introduce some classes of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, such as principal (∘, ∨)-derivations and isotone (∘, ∨)-derivations. In addition, we construct some lattice structures of (∘, ∨)-derivations on EMV-algebras and give a classification of EBL-algebras with (∘, ∨)-derivations.

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DOI: http://dx.doi.org/10.23755/rm.v53i0.1661

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.