This research introduces groups in proximity spaces which endowed with a proximity relation. Two penultimate choices for such relations are the Efremovic (EF) proximity relation and its extension, namely, the descriptive EF-proximity relation. There is a strong relationship between sets (groups) and set (group) descriptions. Therefore, in this paper we consider this relationship via exactness of descriptive homomorphisms between ordinary descriptive groups and meta-descriptive groups. The definition of a short exact sequence of descriptive homomorphisms is given. Then, results were obtained giving the relationships between the two short exact sequences.
Proximal group EF-proximity space Descriptive EF-proximity space Descriptive homomorphism.
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The author wish to thank the anonymous reviewers for their valuable suggestions.
Proximal group EF-proximity space Descriptive EF-proximity space Descriptive homomorphism.
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Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Proje Numarası | - |
Yayımlanma Tarihi | 27 Aralık 2022 |
Gönderilme Tarihi | 6 Haziran 2022 |
Kabul Tarihi | 1 Eylül 2022 |
Yayımlandığı Sayı | Yıl 2022 |