Title of article :
Cconnected frame congruences
Author/Authors :
Baboolal، Dharmanand نويسنده School of Mathematics, Statistics and Computer Science,University of KwaZulu-Natal,Durban,South Africa , , Pillay، Paranjothi نويسنده School of Mathematics, Statistics and Computer Science,University of KwaZulu-Natal,Durban,South Africa , , Pultr، Ales نويسنده CE-ITI, MFF,Department of Applied Mathematics,Charles University,Prague,Czech Republic ,
Issue Information :
دوفصلنامه با شماره پیاپی 6 سال 2017
Abstract :
We discuss the congruences θ that are connected as elements of the (totally disconnected) congruence frame CL, and show that they are in a one-to-one correspondence with the completely prime elements of L, giving an explicit formula. Then we investigate those frames L with enough connected congruences to cover the whole of CL. They are, among others, shown to be TD-spatial; characteristics for some special cases (Boolean, linear, scattered and Noetherian) are presented.
Keywords :
TD-spatiality , connectedness , frame , congruence and sublocale lattice , frame congruence
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
