Opinions on Identity element

Here you have a list of opinions about Identity element and you can also give us your opinion about it.
You will see other people's opinions about Identity element and you will find out what the others say about it.
Also, you will see opinions about other terms. Do not forget to leave your opinion about this topic and others related.

In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set. It leaves other elements unchanged when combined with them. This is used for groups and related concepts.

The term identity element is often shortened to identity (as will be done in this article) when there is no possibility of confusion.

Let (S, ∗) be a set S with a binary operation ∗ on it (known as a magma). Then an element e of S is called a left identity if ea = a for all a in S, and a right identity if ae = a for all a in S. If e is both a left identity and a right identity, then it is called a two-sided identity, or simply an identity.

An identity with respect to addition is called an additive identity (often denoted as 0) and an identity with respect to multiplication is called a multiplicative identity (often denoted as 1). The distinction is used most often for sets that support both binary operations, such as rings. The multiplicative identity is often called the unit in the latter context, where, though, a unit is often used in a broader sense, to mean an element with a multiplicative inverse.

In the image below, you can see a graph with the evolution of the times that people look for Identity element. And below it, you can see how many pieces of news have been created about Identity element in the last years.
Thanks to this graph, we can see the interest Identity element has and the evolution of its popularity.

What do you think of Identity element?

You can leave your opinion about Identity element here as well as read the comments and opinions from other people about the topic.
It's important that all of us leave our opinions about Identity element to have a better knowledge about it: