(⊙, ∨)-Derivations on EMV-algebras and EBL-algebras
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2024-12-01
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| Series: | Ratio Mathematica |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1661 |
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| Summary: | 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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| ISSN: | 1592-7415 2282-8214 |