eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August, 2017 29 8 339 347 http://dx.doi.org/10.22147/jusps-A/290805 837 article ANN LESLIE O. VICEDO (annleslievicedo@gmail.com) 1 JOCELYN P. VILELA 1 Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines <p style="text-align: justify;">Hyperstructure theory has many applications to several areas of pure and applied sciences. This paper investigates some properties of hyper B -algebras which is a generalization of B -algebras. This paper also introduces the notion of hyper B -ideals, weak hyper B -ideals and strong hyper B -ideals in hyper B - algebras and gives some relations among these hyper B -ideals. Relations between hyper B -ideals and subhyper B -algebras of H is also discussed. Moreover, homomorphism on hyper B -algebra is defined and some related properties are given. Finally, proof of the relationship between the hyper B -algebras and hypergroups is provided.</p> https://www.ultrascientist.org/paper/837/ Hyperstructure, Hyper B -algebra hyper B -ideals 20N20, 06F35 03G25