Some Elementary Properties of Neutrosophic Integers
: In this paper, we firstly defined a relation in the set of neutrosophic integers Z[I] and proved that this relation is an equivalence relation. Thus we obtained a partition of Z[I]. Secondly we investigated the ordering relation in Z[I] and we have seen that Z[I] is not a totally ordered...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2021-03-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/SomeElementaryPropertiesOfNeutrosophicIntegers7.pdf |
| Summary: | : In this paper, we firstly defined a relation in the set of neutrosophic integers
Z[I]
and
proved that this relation is an equivalence relation. Thus we obtained a partition of
Z[I]. Secondly
we investigated the ordering relation in
Z[I]
and we have seen that
Z[I]
is not a totally ordered
set. We also gave some relations of positive and negative neutrosophic integers and ordering in
Z[I]
. In the last part of the paper, we introduced the factorial of a positive neutrosophic integer. |
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| ISSN: | 2331-6055 2331-608X |