Zero morphism
Imagine you have a bag of apples and you want to group them into different baskets. However, you realize that some of the apples are actually not real apples, but fake ones made of plastic. These plastic apples don't have any weight, taste or texture, they're just there to fill up the space.
In math, we sometimes have objects or elements that are just like those plastic apples, they don't really have any meaningful content or importance. In particular, we have something called a "zero morphism" which is like one of those plastic apples.
A morphism is a way to connect two objects in math. It's like a rule or a function that takes things from one object and puts them in another object. For example, you can have a morphism that takes two numbers and gives you their sum. A zero morphism, however, is a morphism that always gives you the same meaningless result no matter what you put into it. It's like a function that says "I don't care what you give me, I'm going to give you zero."
The reason we have zero morphisms is because sometimes we want to put together different objects in math and we need a way to bridge the gap between them. However, if we don't have a meaningful way to connect them, we can use a zero morphism just to fill up the space.
In summary, a zero morphism is like a fake apple in a bag of real ones, it doesn't really do anything useful, but sometimes it's necessary to have it around to make things fit together nicely.
In math, we sometimes have objects or elements that are just like those plastic apples, they don't really have any meaningful content or importance. In particular, we have something called a "zero morphism" which is like one of those plastic apples.
A morphism is a way to connect two objects in math. It's like a rule or a function that takes things from one object and puts them in another object. For example, you can have a morphism that takes two numbers and gives you their sum. A zero morphism, however, is a morphism that always gives you the same meaningless result no matter what you put into it. It's like a function that says "I don't care what you give me, I'm going to give you zero."
The reason we have zero morphisms is because sometimes we want to put together different objects in math and we need a way to bridge the gap between them. However, if we don't have a meaningful way to connect them, we can use a zero morphism just to fill up the space.
In summary, a zero morphism is like a fake apple in a bag of real ones, it doesn't really do anything useful, but sometimes it's necessary to have it around to make things fit together nicely.