ON CONGRUENCES AND KERNELS OF SOME LEFT RESTRICTION SEMIGROUPS
IN β„˜π•΄{𝟏𝟏,𝟏𝟐,πŸπŸ‘,πŸπŸ’,πŸπŸ“}

ABUBAKAR, R. B. Ph.D
Department of Mathematics,
Federal College of Education (Technical), Omoku, Rivers state.
Corresponding Email: rafiat.abubakar@fcetomoku.edu.ng

Abstract
This paper presents some left restriction semigroups LRS in partial transformation β„˜π•΄{𝑿=𝟏𝟏,𝟏𝟐.πŸπŸ‘.πŸπŸ’.πŸπŸ“}
,
computed the left congruences 𝑅̃-classes and enumerates all the kernels 𝐾(β„˜π•΄{𝟏𝟏,𝟏𝟐,πŸπŸ‘,πŸπŸ’,πŸπŸ“} ) for each
element of LRS in β„˜π•΄π‘Ώ.

Keywords: Congruence, Kernels, Left Restriction semigroups , Partial Transformation.

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