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A note on congruence systems of MS-algebras

M. CampercholiDiego Vaggione — 2007

Mathematica Bohemica

Let L be an MS-algebra with congruence permutable skeleton. We prove that solving a system of congruences ( θ 1 , ... , θ n ; x 1 , ... , x n ) in L can be reduced to solving the restriction of the system to the skeleton of L , plus solving the restrictions of the system to the intervals [ x 1 , x ¯ ¯ 1 ] , , [ x n , x ¯ ¯ n ] .

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