Smarandache Weak Subtraction Algebra

A. H. Handam

Abstract

The notions of Smarandache weak subtraction algebra, $Q$-Smarandache ideals, prime $Q$-Smarandache ideals and weakly prime $Q$-Smarandache ideals are introduced. Some examples are given and several properties are investigated. Characterizations of ideals are provided. Different relations between $Q$-Smarandache ideals, prime $Q$-Smarandache ideals and weakly prime $Q$-Smarandache ideals are discussed.