- #1
gravenewworld
- 1,132
- 26
Groups, Rings, Fields?
I know what groups, rings, and fields are. My question is why are groups, fields, and rings defined the way they are? Why did mathematicians chose the properties that they did that define groups, rings, and fields? What is so special about those properties? Why couldn't they have chosen completely different other properties in order to define groups etc?
I know what groups, rings, and fields are. My question is why are groups, fields, and rings defined the way they are? Why did mathematicians chose the properties that they did that define groups, rings, and fields? What is so special about those properties? Why couldn't they have chosen completely different other properties in order to define groups etc?