Academic Journal
Solutions of Some Kandasamy-Smarandache Open Problems About the Algebraic Structure of Neutrosophic Complex Finite Numbers
| العنوان: | Solutions of Some Kandasamy-Smarandache Open Problems About the Algebraic Structure of Neutrosophic Complex Finite Numbers |
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| المؤلفون: | Basheer Abd Al Rida Sadiq |
| المصدر: | Neutrosophic Sets and Systems, Vol 54, Pp 184-196 (2023) |
| بيانات النشر: | University of New Mexico, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Mathematics LCC:Electronic computers. Computer science |
| مصطلحات موضوعية: | neutrosophic complex number, neutrosophic finite complex number, maximal ideal, minimal ideal, Mathematics, QA1-939, Electronic computers. Computer science, QA75.5-76.95 |
| الوصف: | The aim of this paper is to study the neutrosophic complex finite rings 𝐶(𝑍𝑛 ) 𝑎𝑛𝑑 𝐶(< 𝑍𝑛 ∪ 𝐼 >), and to give a classification theorem of these rings. Also, this work introduces full solutions for 12 Kandasamy-Smarandache open problems concerning these structures of generalized rings modulo integers. Also, a necessary and sufficient condition of invertibility in 𝐶(𝑍𝑛 ) 𝑎𝑛𝑑 𝐶(< 𝑍𝑛 ∪ 𝐼 >) is presented as a partial solution of the famous group of units problem. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2331-6055 2331-608X |
| Relation: | http://fs.unm.edu/NSS/15SolutionsKandasamySmarandache.pdf; https://doaj.org/toc/2331-6055; https://doaj.org/toc/2331-608X |
| DOI: | 10.5281/zenodo.7817752 |
| URL الوصول: | https://doaj.org/article/f04ada6b36414ba09eb8f5e28a12d4a6 |
| رقم الانضمام: | edsdoj.f04ada6b36414ba09eb8f5e28a12d4a6 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 23316055 2331608X |
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| DOI: | 10.5281/zenodo.7817752 |