EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ
It is well known that the categories Fuzz of fuzzes and TopFuzz<br /> of topological fuzzes are both complete and cocomplete, and some categorical<br /> properties of them were introduced by many authors. In this paper, we introduce<br /> the structure of equalizers in these catego...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2020-01-01
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| Series: | Journal of Algebraic Systems |
| Subjects: | |
| Online Access: | http://jas.shahroodut.ac.ir/article_1591_456819627dfad4d16a4612d7f8c0f596.pdf |
| _version_ | 1818599532597870592 |
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| author | Gh. Mirhosseinkhani N. Nazari |
| author_facet | Gh. Mirhosseinkhani N. Nazari |
| author_sort | Gh. Mirhosseinkhani |
| collection | DOAJ |
| description | It is well known that the categories Fuzz of fuzzes and TopFuzz<br /> of topological fuzzes are both complete and cocomplete, and some categorical<br /> properties of them were introduced by many authors. In this paper, we introduce<br /> the structure of equalizers in these categories. In particular, we show that every<br /> regular monomorphism is an injective map, but monomorphisms need not be<br /> injective, in general. |
| first_indexed | 2024-12-16T12:21:06Z |
| format | Article |
| id | doaj.art-35367bce6d23421ebd4c02ba865ca3ce |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-12-16T12:21:06Z |
| publishDate | 2020-01-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-35367bce6d23421ebd4c02ba865ca3ce2022-12-21T22:31:58ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2020-01-017221722610.22044/jas.2019.7254.13551591EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZGh. Mirhosseinkhani0N. Nazari1Department of Mathematics and Computer Sciences, Sirjan University of Technology, Sirjan, Iran.Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.It is well known that the categories Fuzz of fuzzes and TopFuzz<br /> of topological fuzzes are both complete and cocomplete, and some categorical<br /> properties of them were introduced by many authors. In this paper, we introduce<br /> the structure of equalizers in these categories. In particular, we show that every<br /> regular monomorphism is an injective map, but monomorphisms need not be<br /> injective, in general.http://jas.shahroodut.ac.ir/article_1591_456819627dfad4d16a4612d7f8c0f596.pdffuzztopological fuzzmolecular latticeequalizer |
| spellingShingle | Gh. Mirhosseinkhani N. Nazari EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ Journal of Algebraic Systems fuzz topological fuzz molecular lattice equalizer |
| title | EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ |
| title_full | EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ |
| title_fullStr | EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ |
| title_full_unstemmed | EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ |
| title_short | EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ |
| title_sort | equalizers in the categories fuzz and topfuzz |
| topic | fuzz topological fuzz molecular lattice equalizer |
| url | http://jas.shahroodut.ac.ir/article_1591_456819627dfad4d16a4612d7f8c0f596.pdf |
| work_keys_str_mv | AT ghmirhosseinkhani equalizersinthecategoriesfuzzandtopfuzz AT nnazari equalizersinthecategoriesfuzzandtopfuzz |