Relation between Sheffer Stroke and Hilbert algebras
| Autor: | Tahsin Oner, Tugce Katican, Arsham Borumand Saeid |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Categories and General Algebraic Structures with Applications, Vol 14, Iss 1, Pp 245-268 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2345-5853 2345-5861 |
| DOI: | 10.29252/cgasa.14.1.245 |
| Popis: | In this paper, we introduce a Sheffer stroke Hilbert algebra by giving definitions of Sheffer stroke and a Hilbert algebra. After it is shown that the axioms of Sheffer stroke Hilbert algebra are independent, it is given some properties of this algebraic structure. Then it is stated the relationship between Sheffer stroke Hilbert algebra and Hilbert algebra by defining a unary operation on Sheffer stroke Hilbert algebra. Also, it is presented deductive system and ideal of this algebraic structure. It is defined an ideal generated by a subset of a Sheffer stroke Hilbert algebra, and it is constructed a new ideal of this algebra by adding an element of this algebra to its ideal. |
| Databáze: | Directory of Open Access Journals |
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