NeutroOrderedAlgebra: Applications to Semigroups
Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfies the conditions of NeutroOrder, it becomes a NeutroOrderedAlgebra. In this paper, we apply our new defined notion to semigroups by studying NeutroOrderedSemigroups. More precisely, we define some...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2021-01-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | http://fs.unm.edu/NSS/NeutroOrderedAlgebra11.pdf |
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doaj-afe3fcc7ff314858b8cbe8b8d1ba08922021-04-20T14:51:45ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-01-013913314710.5281/zenodo.4444331NeutroOrderedAlgebra: Applications to SemigroupsMadeleine Al-Tahan0F. Smarandache1Bijan Davvaz2Department of Mathematics, Lebanese International University, Bekaa, LebanonMathematics and Science Division, University of New Mexico, Gallup Campus, USA3Department of Mathematics, Yazd University, Yazd, IranStarting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfies the conditions of NeutroOrder, it becomes a NeutroOrderedAlgebra. In this paper, we apply our new defined notion to semigroups by studying NeutroOrderedSemigroups. More precisely, we define some related terms like NeutrosOrderedSemigroup, NeutroOrderedIdeal, NeutroOrderedFilter, NeutroOrderedHomomorphism, etc., illustrate them via some examples, and study some of their properties.http://fs.unm.edu/NSS/NeutroOrderedAlgebra11.pdfneutroalgebraneutrosemigroupneutroorderedalgebraneutrosorderedsemigroupneutroorderedidealneutroorderedfilterneutroorderedhomomorphismneutroorderedstronghomomorphism. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Madeleine Al-Tahan F. Smarandache Bijan Davvaz |
| spellingShingle |
Madeleine Al-Tahan F. Smarandache Bijan Davvaz NeutroOrderedAlgebra: Applications to Semigroups Neutrosophic Sets and Systems neutroalgebra neutrosemigroup neutroorderedalgebra neutrosorderedsemigroup neutroorderedideal neutroorderedfilter neutroorderedhomomorphism neutroorderedstronghomomorphism. |
| author_facet |
Madeleine Al-Tahan F. Smarandache Bijan Davvaz |
| author_sort |
Madeleine Al-Tahan |
| title |
NeutroOrderedAlgebra: Applications to Semigroups |
| title_short |
NeutroOrderedAlgebra: Applications to Semigroups |
| title_full |
NeutroOrderedAlgebra: Applications to Semigroups |
| title_fullStr |
NeutroOrderedAlgebra: Applications to Semigroups |
| title_full_unstemmed |
NeutroOrderedAlgebra: Applications to Semigroups |
| title_sort |
neutroorderedalgebra: applications to semigroups |
| publisher |
University of New Mexico |
| series |
Neutrosophic Sets and Systems |
| issn |
2331-6055 2331-608X |
| publishDate |
2021-01-01 |
| description |
Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfies
the conditions of NeutroOrder, it becomes a NeutroOrderedAlgebra. In this paper, we apply our new defined
notion to semigroups by studying NeutroOrderedSemigroups. More precisely, we define some related terms like
NeutrosOrderedSemigroup, NeutroOrderedIdeal, NeutroOrderedFilter, NeutroOrderedHomomorphism, etc., illustrate them via some examples, and study some of their properties. |
| topic |
neutroalgebra neutrosemigroup neutroorderedalgebra neutrosorderedsemigroup neutroorderedideal neutroorderedfilter neutroorderedhomomorphism neutroorderedstronghomomorphism. |
| url |
http://fs.unm.edu/NSS/NeutroOrderedAlgebra11.pdf |
| work_keys_str_mv |
AT madeleinealtahan neutroorderedalgebraapplicationstosemigroups AT fsmarandache neutroorderedalgebraapplicationstosemigroups AT bijandavvaz neutroorderedalgebraapplicationstosemigroups |
| _version_ |
1721517758624038912 |