Relative pseudo-complementations on ADL’S

Ch Santhi Sundar Raj, S Nageswara Rao, M Santhi, K Ramanuja Rao

Abstract


The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U.M.Swamy and G.C.Rao [3] as a common abstraction of several lattice theoretic generalization of Boolean algebras and Boolean rings. In this paper we introduce the notion of Relative pseudo-complementation on ADL's and discus several properties of this.

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References


Mark Mandelker, Relative annhilators in lattices. Duke Math. Jour., 37:377-386, 1970.

G. C. Rao and M. S. Rao, annhilator ideals in Almost Distributive Lattices. Int.Math.Form,4:475-485, 2009

Inter. J. of Algebra , vol. 3 (2009), 221 - 229.

U. M. Swamy and G. C. Rao, Almost Distributive Lattices, J. Austral.Math.Soc., (Series A),31:77- 91, 1981.

U. M. Swamy, G. C. Rao and G. Nanaji Rao. Pseudo-complementation on Almost Distributive Lattices. Southeast Asian Bulletin of Mathematics, 24:95-104, 2000.


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