Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation
Let X be a nonempty set and ρ be an equivalence relation on X. For a nonempty subset S of X, we denote the semigroup of transformations restricted by an equivalence relation ρ fixing S pointwise by EFSX,ρ. In this paper, magnifying elements in EFSX,ρ will be investigated. Moreover, we will give the...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/4332094 |
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| _version_ | 1832551628198117376 |
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| author | Thananya Kaewnoi Ronnason Chinram Montakarn Petapirak |
| author_facet | Thananya Kaewnoi Ronnason Chinram Montakarn Petapirak |
| author_sort | Thananya Kaewnoi |
| collection | DOAJ |
| description | Let X be a nonempty set and ρ be an equivalence relation on X. For a nonempty subset S of X, we denote the semigroup of transformations restricted by an equivalence relation ρ fixing S pointwise by EFSX,ρ. In this paper, magnifying elements in EFSX,ρ will be investigated. Moreover, we will give the necessary and sufficient conditions for elements in EFSX,ρ to be right or left magnifying elements. |
| format | Article |
| id | doaj-art-bece05cc9fc840b99592b7686f929cdb |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bece05cc9fc840b99592b7686f929cdb2025-02-03T06:01:01ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/4332094Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence RelationThananya Kaewnoi0Ronnason Chinram1Montakarn Petapirak2Division of Computational ScienceDivision of Computational ScienceDivision of Computational ScienceLet X be a nonempty set and ρ be an equivalence relation on X. For a nonempty subset S of X, we denote the semigroup of transformations restricted by an equivalence relation ρ fixing S pointwise by EFSX,ρ. In this paper, magnifying elements in EFSX,ρ will be investigated. Moreover, we will give the necessary and sufficient conditions for elements in EFSX,ρ to be right or left magnifying elements.http://dx.doi.org/10.1155/2021/4332094 |
| spellingShingle | Thananya Kaewnoi Ronnason Chinram Montakarn Petapirak Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation Journal of Mathematics |
| title | Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation |
| title_full | Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation |
| title_fullStr | Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation |
| title_full_unstemmed | Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation |
| title_short | Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation |
| title_sort | magnifying elements in semigroups of fixed point set transformations restricted by an equivalence relation |
| url | http://dx.doi.org/10.1155/2021/4332094 |
| work_keys_str_mv | AT thananyakaewnoi magnifyingelementsinsemigroupsoffixedpointsettransformationsrestrictedbyanequivalencerelation AT ronnasonchinram magnifyingelementsinsemigroupsoffixedpointsettransformationsrestrictedbyanequivalencerelation AT montakarnpetapirak magnifyingelementsinsemigroupsoffixedpointsettransformationsrestrictedbyanequivalencerelation |