[petercooper]

I think it's easily done when someone knows a topic too well to teach it to beginners from outside the field. Rings, fields and identities may just be math's equivalents of string, operator, or variable, when similarly used by introductory programming books without any explanation.

[Smaug123]

This is correct: "ring" is a concept that will be taught to all maths undergraduates by the end of the second year at latest.