EN
Exactness of Proximal Group Homomorphisms
Abstract
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.
Keywords
Thanks
The author wish to thank the anonymous reviewers for their valuable suggestions.
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
December 27, 2022
Submission Date
June 6, 2022
Acceptance Date
September 1, 2022
Published in Issue
Year 2022 Volume: 43 Number: 4