Extensions of soft fractional Ideals using soft semistar operations approach on Integral domains

A comprehensive mathematical technique for handling uncertainty is the Molodtsov introduced idea of soft sets. In this paper, the operations leading to themselves from the set of undeniable soft fractional ideals are instigated. We provide some extensions of soft fractional ideals using the notion of overrings. We bring out the notion of soft semistar operations in relation to undeniable soft fractional ideals and connect it to the current notions of star and semistar operations. We also demonstrate the formation of complete soft lattice from the collection of all soft semistar operations on integral domains.

کلیدواژه ها:

Soft R-submodule ، Star operation ، Semistar operation ، Soft fractional ideal ، Overring