TY - JFULL AU - Mona Taheri PY - 2010/10/ TI - Equalities in a Variety of Multiple Algebras T2 - International Journal of Mathematical and Computational Sciences SP - 1321 EP - 1324 VL - 4 SN - 1307-6892 UR - https://publications.waset.org/pdf/9522 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 45, 2010 N2 - The purpose of this research is to study the concepts of multiple Cartesian product, variety of multiple algebras and to present some examples. In the theory of multiple algebras, like other theories, deriving new things and concepts from the things and concepts available in the context is important. For example, the first were obtained from the quotient of a group modulo the equivalence relation defined by a subgroup of it. Gratzer showed that every multiple algebra can be obtained from the quotient of a universal algebra modulo a given equivalence relation. The purpose of this study is examination of multiple algebras and basic relations defined on them as well as introduction to some algebraic structures derived from multiple algebras. Among the structures obtained from multiple algebras, this article studies submultiple algebras, quotients of multiple algebras and the Cartesian product of multiple algebras. ER -