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Centre of Core Regular Double Stone Algebra

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
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 defined for CRDSA and finally it is shown that Birkhoff centre of CRDSA is isomorphic to its Boolean centre
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  • 4
717
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  • English

REFERENCES

References: 

[1] Balbes R. and Dwinger PH., Distributive lattices, U.Missouri Press (1974).
[2] Gratzer.George and Schmidt, E. T. On a problem of M. H. Stone, Acta Mathematica Academiae Scientiarum Hungaricae, 8 (1957), 455-460.
[3] Gratzer.George, Lattice Theory. First concepts and distributive lattices, W. H. Freeman and Co. San Francisco, 1971.
[4] G. C. MoislL, Sur les logiques de,Lukasiewicz a un nombre fini de valeurs, Rev. Roumaine Math. Pures Appl, 9 (1964), 905-920.
[5] Ravi Kumar. R.V.G, M.P.K.Kishore and A.R.J.Srikanth, Core Regular double Stone algebra, Journal of Calcutta Mathematical Society, 11 (2015) 1-10.
[6] Swamy.U.M. and Murthy.G.S., Boolean centre of a universal algebra Algebra Universalis, 13 (1981) 202-205.
[7] Varlet,J., A regular variety of type <2, 2, 1, 1, 0, 0 >, Algebra Universalis, 2 (1972) 218-223.

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