TY - JFULL AU - Mona Taheri PY - 2010/10/ TI - How are Equalities Defined, Strong or Weak on a Multiple Algebra? T2 - International Journal of Mathematical and Computational Sciences SP - 1324 EP - 1328 VL - 4 SN - 1307-6892 UR - https://publications.waset.org/pdf/13948 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 45, 2010 N2 - For the purpose of finding the quotient structure of multiple algebras such as groups, Abelian groups and rings, we will state concepts of ( strong or weak ) equalities on multiple algebras, which will lead us to research on how ( strong or weak) are equalities defined on a multiple algebra over the quotients obtained from it. In order to find a quotient structure of multiple algebras such as groups, Abelian groups and loops, a part of this article has been allocated to the concepts of equalities (strong and weak) of the defined multiple functions on multiple algebras. This leads us to do research on how defined equalities (strong and weak) are made in the multiple algebra on its resulted quotient. ER -