Ring and Field Theory

In a ring R, an element is called a unit if its multiplicative inverse exists. That is, if ab=I (the unity in R), then both a and b are units. In this post, we will study the units of a ring with its definition, examples, and how to find it. Definition of Units in a … Read more

The ring theory in Mathematics is an important topic in the area of abstract algebra where we study sets equipped with two operations addition (+) and multiplication (⋅). In this article, we will study rings in abstract algebra along with its definition, examples, properties and solved problems. Definition of a Ring Let R be a … Read more