The Study of Properties of Group and Ring
Keywords:
Abstruct algebra, GroupAbstract
Abstract algebra is the main branch of mathematics having many applications in different areas. It has number of advantage in mathematics and its role play an important part in mathematics. In this paper we discuss about fields, rings, groups, Galois group, primitive group. In this paper we discuss about the polynomial, cubic equation, quadratic equation. Here we discuss about mostly properties of groups, rings, and fields. These properties used in to differentiate between groups and ring. These properties also helps to find out which field (field of complex number, real number, rational number) make group and ring which is not. The theory of group gives discipline in mathematics which is free from calculation. It gives a technique for decrease and balancing the side of equation. It gives common geometric solution of cubic equation.
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