JP Journal of Algebra, Number Theory and Applications
Volume 14, Issue 1, Pages 51 - 64
(June 2009)
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THE ENDOMORPHISM KERNEL PROPERTY IN FINITE STONE ALGEBRAS
Hernando Gaitán (Colombia) and Yhon Jairo Cortés (Colombia)
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Abstract: In this paper, we study the finite Stone algebras having the endomorphism kernel property. We give some sufficient conditions on a finite Stone space that guarantee the EKP in the corresponding Stone algebra. We also show some general cases in which a finite Stone algebra fails to have the endomorphism kernel property. |
Keywords and phrases: Stone algebra, monoid of endomorphisms, endomorphism kernel property. |
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