On Sheffer Stroke Be-Algebras
In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE-filter of a SBE-algebra is a SBE-subalgebra but...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2022-10-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1391 |
| _version_ | 1827833986305490944 |
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| author | Katican Tugce Oner Tahsin Saeid Arsham Borumand |
| author_facet | Katican Tugce Oner Tahsin Saeid Arsham Borumand |
| author_sort | Katican Tugce |
| collection | DOAJ |
| description | In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE-filter of a SBE-algebra is a SBE-subalgebra but the converse of this statement is not true. Besides we construct quotient SBE-algebras via a congruence relation defined by a special SBE-filter. We discuss SBE-homomorphisms and their properties between SBE-algebras. Finally, a relation between Sheffer stroke Hilbert algebras and SBE-algebras is established. |
| first_indexed | 2024-03-12T05:43:23Z |
| format | Article |
| id | doaj.art-4a0a32e14a4e4d4680ad3ccd84d69c7c |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T05:43:23Z |
| publishDate | 2022-10-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-4a0a32e14a4e4d4680ad3ccd84d69c7c2023-09-03T05:51:42ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732022-10-0142229331410.7151/dmgaa.1391On Sheffer Stroke Be-AlgebrasKatican Tugce0Oner Tahsin1Saeid Arsham Borumand2Department of Mathematics, Faculty of Arts and Sciences, Izmir University of Economics, Izmir, TurkeyDepartment of Mathematics, Faculty of Science, Ege University, Izmir, TurkeyDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranIn this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE-filter of a SBE-algebra is a SBE-subalgebra but the converse of this statement is not true. Besides we construct quotient SBE-algebras via a congruence relation defined by a special SBE-filter. We discuss SBE-homomorphisms and their properties between SBE-algebras. Finally, a relation between Sheffer stroke Hilbert algebras and SBE-algebras is established.https://doi.org/10.7151/dmgaa.1391sheffer strokesbe-algebracongruencesbe-homomorphism06f0503g2503g10 |
| spellingShingle | Katican Tugce Oner Tahsin Saeid Arsham Borumand On Sheffer Stroke Be-Algebras Discussiones Mathematicae - General Algebra and Applications sheffer stroke sbe-algebra congruence sbe-homomorphism 06f05 03g25 03g10 |
| title | On Sheffer Stroke Be-Algebras |
| title_full | On Sheffer Stroke Be-Algebras |
| title_fullStr | On Sheffer Stroke Be-Algebras |
| title_full_unstemmed | On Sheffer Stroke Be-Algebras |
| title_short | On Sheffer Stroke Be-Algebras |
| title_sort | on sheffer stroke be algebras |
| topic | sheffer stroke sbe-algebra congruence sbe-homomorphism 06f05 03g25 03g10 |
| url | https://doi.org/10.7151/dmgaa.1391 |
| work_keys_str_mv | AT katicantugce onshefferstrokebealgebras AT onertahsin onshefferstrokebealgebras AT saeidarshamborumand onshefferstrokebealgebras |