Properties of the category of neutrosophic subgroups

In this paper, we introduce the notions of inverse and direct systems in the category of neutrosophic M-groups and examine their fundamental properties. In particular, we explore the behavior of limits in such systems, focusing on whether inverse and direct limits preserve exactness in sequences of...

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Main Authors: Saeid Jafari, Neelamegarajan Rajesh, Giorgio Nordo, Carmelo Cisto
Format: Article
Language:English
Published: University of New Mexico 2025-07-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/5Subgroups.pdf
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author Saeid Jafari
Neelamegarajan Rajesh
Giorgio Nordo
Carmelo Cisto
author_facet Saeid Jafari
Neelamegarajan Rajesh
Giorgio Nordo
Carmelo Cisto
author_sort Saeid Jafari
collection DOAJ
description In this paper, we introduce the notions of inverse and direct systems in the category of neutrosophic M-groups and examine their fundamental properties. In particular, we explore the behavior of limits in such systems, focusing on whether inverse and direct limits preserve exactness in sequences of neutrosophic Mgroups.
format Article
id doaj-art-aa53cd06f8344782b1da616ce6d5516d
institution DOAJ
issn 2331-6055
2331-608X
language English
publishDate 2025-07-01
publisher University of New Mexico
record_format Article
series Neutrosophic Sets and Systems
spelling doaj-art-aa53cd06f8344782b1da616ce6d5516d2025-08-20T03:07:05ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-0188598210.5281/zenodo.15773745Properties of the category of neutrosophic subgroupsSaeid JafariNeelamegarajan RajeshGiorgio NordoCarmelo CistoIn this paper, we introduce the notions of inverse and direct systems in the category of neutrosophic M-groups and examine their fundamental properties. In particular, we explore the behavior of limits in such systems, focusing on whether inverse and direct limits preserve exactness in sequences of neutrosophic Mgroups. https://fs.unm.edu/NSS/5Subgroups.pdfneutrosophic m-groupinverse and direct systemsinverse and direct limitsexact sequences
spellingShingle Saeid Jafari
Neelamegarajan Rajesh
Giorgio Nordo
Carmelo Cisto
Properties of the category of neutrosophic subgroups
Neutrosophic Sets and Systems
neutrosophic m-group
inverse and direct systems
inverse and direct limits
exact sequences
title Properties of the category of neutrosophic subgroups
title_full Properties of the category of neutrosophic subgroups
title_fullStr Properties of the category of neutrosophic subgroups
title_full_unstemmed Properties of the category of neutrosophic subgroups
title_short Properties of the category of neutrosophic subgroups
title_sort properties of the category of neutrosophic subgroups
topic neutrosophic m-group
inverse and direct systems
inverse and direct limits
exact sequences
url https://fs.unm.edu/NSS/5Subgroups.pdf
work_keys_str_mv AT saeidjafari propertiesofthecategoryofneutrosophicsubgroups
AT neelamegarajanrajesh propertiesofthecategoryofneutrosophicsubgroups
AT giorgionordo propertiesofthecategoryofneutrosophicsubgroups
AT carmelocisto propertiesofthecategoryofneutrosophicsubgroups