Abstract

Abstract. In this paper, we give chemical hyperstructures of chem-ical reactions for a set of vanadium( V ). 1. IntroductionIn 1935 F. Marty [6] introduced algebraic hyperstructures which aregeneralized concepts of groups. Up to now, many mathematicians [1, 2]have been studying about hyperstructures. In 1994 T. Vougiouklis [7]gave about H v -groups and in 2013 B. Davvaz [3] summarized the basicalgebraic hyperstructures.In 2012, B. Davvaz, A. D. Nezhad and A. Benvidi [5] showed chem-ical hyperalgebra in dismutation reactions for three sets of tin( Sn ),indium( In ) and vanadium( V ).In this paper, we obtain difierent chemical hypersructures for the setof vanadium( V ) as B. Davvaz, A. D. Nezhad and A. Benvidi got in [5].2. Hyperalgebraic structuresLet H be a non-empty set and ¢ : H £ H i! } ⁄ ( H ) be a function,where } ⁄ ( H ) is the set of all non-empty subsets of H . Then the function ¢ is called a hyperoperation on H and the couple ( H;¢ ) is called a hyper-groupoid . For two subsets

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