Centered at the study of algebra is the study of homomorphisms between algebraic structures. For the case of ring, a ring homomorphisms is connected by a special kind of subring called the ideal, which is the kernel of the homomorphism and has absorption property.In this text, we will first compare and migrate the isomorphism theorems into ring theory, and then categorize the ideals into principal, maximal and prime ideals. This should establish...(read more)

Ring theory is namely a branch of algebra that studies a type of algebraic structure called ring. A ring is built upon an abelian group defining the addition, and adds multiplication which is another binary operation that is closed, commutative and distributive over the addition. The multiplication is not limited to something originated from repetive sum of the addition, things like convolution that has distributive properties can be used in the place...(read more)