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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2314-4785 |