c-connected frame congruences

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ID: 207789
2017
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Abstract
We discuss the congruences $theta$ that are connected as  elements of the (totally disconnected) congruence frame $CF L$,  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 $CF L$. They are, among others, shown to be $T_D$-spatial;  characteristics for some special cases (Boolean, linear, scattered and Noetherian) are presented.
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Authors ;Dharmanand Baboolal;Paranjothi Pillay;Ales Pultr
Journal matrix: jurnal manajemen teknologi dan informatika
Year 2017
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