Class of Sheffer stroke BCK-algebras
| Autor: | Oner Tahsin, Kalkan Tugce, Saeid Arsham Borumand |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 1, Pp 247-269 (2022) |
| Druh dokumentu: | article |
| ISSN: | 1844-0835 2022-0014 |
| DOI: | 10.2478/auom-2022-0014 |
| Popis: | In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent. The relationship between a Sheffer stroke BCK-algebra and a BCK-algebra is stated. After describing a commutative, an implicative and an involutory Sheffer stroke BCK-algebras, some of important properties are proved. The relationship of this structures is demonstrated. A Sheffer stroke BCK-algebra with condition (S) is described and the connection with other structures is shown. Finally, it is proved that for a Sheffer stroke BCK-algebra to be a Boolean lattice, it must be an implicative Sheffer stroke BCK-algebra. |
| Databáze: | Directory of Open Access Journals |
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