Centre of Core Regular Double Stone Algebra

Ammu R. J. Srikanth, R. V. G. Ravi Kumar

Abstract

In literature there is an elegant characterization of factor congruences on a distributive lattice. In this paper, we make an attempt such type of characterization of factor congruences on a Core Regular Double Stone Algebra (CRDSA) and we identify that the factor congruences on a CRDSA A with certain elements of A and proved that set of all factor congruences forms a Boolean centre for A. Further Birkhoff centre is dened for CRDSA and nally it is shown that Birkhoff centre of CRDSA is isomorphic to its Boolean centre

Keywords

Core Regular Double Stone Algebra, Boolean centre, Birkhoff centre

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