JP Journal of Algebra, Number Theory and Applications
Volume 36, Issue 3, Pages 241 - 258
(June 2015) http://dx.doi.org/10.17654/JPANTAJun2015_241_258 |
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STRONG ENDOMORPHISM KERNEL PROPERTY FOR BROUWERIAN ALGEBRAS
Jaroslav GuriÄan
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Abstract: We shall show that endomorphism kernel property (EKP) and strong endomorphism kernel property (SEKP) are for some classes of universal algebras preserved by finite direct products and also by a special form of infinite direct sum construction. Full characterization of finite relative Stone algebras and L-algebras which have SEKP is given and a wide class of infinite relative Stone algebras which possess SEKP is described. |
Keywords and phrases: (strong) endomorphism kernel property, congruence relation, direct sum, factorable congruences. |
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