References

FILTERS IN AND


[1] G. Birkhoff, Lattice Theory, American Mathematical Society, 1967.

[2] E. Cohen, Arithmetical functions associated with the unitary divisors of an integer, Math. Z. 74 (1960), 66-80.

[3] B. A. Davey and H. A. Priestly, Introduction to Lattices and Order, Cambridge University Press, 2002.

[4] G. A. Gratzer, General Lattice Theory, Birkhauser, 1971.

[5] W. Narkiewicz, On a class of arithmetical convolutions, Colloq. Math. 10 (1963), 81-94.

[6] Sagi Sankar, Lattice Theory of Convolutions, Ph.D. Thesis, Andhra University, Waltair, Visakhapatnam, India, 2010.

[7] U. M. Swamy, G. C. Rao and V. Sita Ramaiah, On a conjecture in a ring of arithmetic functions, Indian J. Pure Appl. Math. 14(12) (1983), 1519-1530.

[8] U. M. Swamy and Sagi Sankar, Partial orders induced by convolutions, International Journal of Mathematics and Soft Computing 2(1) (2012), 25-33.

[9] U. M. Swamy and Sagi Sankar, Lattice structures on induced by convolutions, Eur. J. Pure Appl. Math. 4(4) (2011), 424-434.