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δ-Ideals in MS-Algebras

Abstract

Abd El-Mohsen Badawy

The concepts of δ-Ideals and principal δ-Ideals are introduced in an MS-algebra and many properties of these ideals are studied. It is observed that the class of all δ-Ideals forms a complete distributive lattice and the class of all principal δ-Ideals forms a de Morgan algebra. A characterization of δ-Ideals in terms of principal δ-Ideals is given. Finally, many properties of δ-Ideals are studied with respect to homomorphisms.

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