Another Depiction of Congruence on Completely Simple Semi-groups

Luo Xiao-qiang · Sichuan University of Arts and Science Journal · 2010

On the idempotent element set E(S) of the completely simple semi-groups,the normal equivalence τ and the kernel subset K are structured,and it is showed that the K and τ is compatible,their normal subgroups are implicative,the trace classes and normal subgroup lattices are isomorphic,and the kernel classes and the normal equivalence lattices within the idempotent element set are isomorphic,too.

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