Smarandache BCC-algebras

Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B of A which is embedded with a strong structure S. In [9], Kandasamy studied the concept of Smarandache groupoids, subgroupoids, ideal of groupoids, seminormal subgroupoids, Smarandache Bol groupoids, and strong Bol groupoids and obtained many interesting results about them. Smarandache semigroups are very important for the study of congruences, and they were studied by Padilla [13]. In this paper, we discuss a Smarandache structure on BCCalgebras, and introduce the notion of Smarandache ideals, and investigate its properties. We give conditions for a (special) subset to be a Smarandache BCC-ideal.