sigma-ideals of Distributive p-algebras

Abd El-Mohsen Badawy; M. Sambasiva Rao

Authors

Abd El-Mohsen Badawy
M. Sambasiva Rao

Keywords:

Distributive p-algebras, boosters, sigma-ideals, homomorphisms

Abstract

The concepts of boosters and $gif.latex?\sigma$ -ideals are introduced in distributive $gif.latex?p$ -algebras. Many properties of $gif.latex?\sigma$ -ideals are studied in terms of boosters. It is proved that the class of all boosters of a distributive $gif.latex?p$ -algebra is a Boolean algebra. It is also observed that the lattice of all $gif.latex?\sigma$ -ideals of a distributive $gif.latex?p$ -algebra is isomorphic to the ideal lattice of the lattice of all boosters. Finally, some properties of $gif.latex?\sigma$ -ideals are studied with respect to homomorphisms.

sigma-ideals of Distributive p-algebras

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