(⊙, ∨)-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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832575453557161984 |
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| author | Tao Liu Hongxing Liu |
| author_facet | Tao Liu Hongxing Liu |
| author_sort | Tao Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-572313fe8e5c49669e00b754077552c9 |
| institution | Kabale University |
| issn | 1592-7415 2282-8214 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj-art-572313fe8e5c49669e00b754077552c92025-02-01T06:51:01ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142024-12-0153010.23755/rm.v53i0.1661955(⊙, ∨)-Derivations on EMV-algebras and EBL-algebrasTao LiuHongxing LiuIn 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.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1661 |
| spellingShingle | Tao Liu Hongxing Liu (⊙, ∨)-Derivations on EMV-algebras and EBL-algebras Ratio Mathematica |
| title | (⊙, ∨)-Derivations on EMV-algebras and EBL-algebras |
| title_full | (⊙, ∨)-Derivations on EMV-algebras and EBL-algebras |
| title_fullStr | (⊙, ∨)-Derivations on EMV-algebras and EBL-algebras |
| title_full_unstemmed | (⊙, ∨)-Derivations on EMV-algebras and EBL-algebras |
| title_short | (⊙, ∨)-Derivations on EMV-algebras and EBL-algebras |
| title_sort | ⊙ ∨ derivations on emv algebras and ebl algebras |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1661 |
| work_keys_str_mv | AT taoliu derivationsonemvalgebrasandeblalgebras AT hongxingliu derivationsonemvalgebrasandeblalgebras |