Study of two types finite graphs in ku-semigroups
In this research, we present the notion of the graph for a KU-semigroup X as the undirected simple graph with the vertices are the elements ofX and we study the graph of equivalence classes of X which is determined by the definition equivalence relation of these vertices, and then some related prope...
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| Published in: | Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 31; no. 3; pp. 160 - 170 |
|---|---|
| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Baghdad, Iraq
University of Baghdad, College of Education for Pure Science / Ibn al-Haitham
19-11-2018
University of Baghdad |
| Subjects: | |
| Online Access: | Get full text |
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| Abstract | In this research, we present the notion of the graph for a KU-semigroup X as the undirected
simple graph with the vertices are the elements ofX and we study the graph of equivalence
classes of X which is determined by the definition equivalence relation of these vertices, and
then some related properties are given Several examples are presented and some theorems
are proved. By using the definition of isomorphic graph, we show that the graph of
equivalence classes and the graph of a KU-semigroup are1 the same. in special cases. |
|---|---|
| AbstractList | In this ˑwork, we present theˑ notion of the ˑgraph for a KU-semigroup as theˑundirected simple graphˑ with the vertices are the elementsˑ of and weˑˑstudy the ˑgraph ofˑ equivalence classesˑofˑ which is determinedˑ by theˑ definition equivalenceˑ relation ofˑ these verticesˑ, andˑ then some related ˑproperties areˑ given. Several examples are presented and some theorems are proved. Byˑ usingˑ the definitionˑ ofˑ isomorphicˑ graph, ˑwe showˑ thatˑ the graphˑ of equivalence ˑclasses ˑand the ˑgraphˑof ˑa KU-semigroup ˑ areˑ theˑ sameˑ, in special cases. In this research, we present the notion of the graph for a KU-semigroup X as the undirected simple graph with the vertices are the elements ofX and we study the graph of equivalence classes of X which is determined by the definition equivalence relation of these vertices, and then some related properties are given Several examples are presented and some theorems are proved. By using the definition of isomorphic graph, we show that the graph of equivalence classes and the graph of a KU-semigroup are1 the same. in special cases. |
| Author | Hasan, Ilaf R. Karim, Fatimah F. |
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| Snippet | In this research, we present the notion of the graph for a KU-semigroup X as the undirected
simple graph with the vertices are the elements ofX and we study... In this ˑwork, we present theˑ notion of the ˑgraph for a KU-semigroup as theˑundirected simple graphˑ with the vertices are the elementsˑ of and... |
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| StartPage | 160 |
| SubjectTerms | KU-algebra, KU-semigroup, graph , annihilator |
| Title | Study of two types finite graphs in ku-semigroups |
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