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Why Can't the Polynomial Ring Be a Field?

Does Every Abelian Group Admit a Ring Structure?

Ring Such That $x^4=x$ for All $x$ Is Commutative

Why “characteristic zero” & Not “infinite characteristic”?

What Kind of Work Do Modern Day Algebraists Do?

Quotient Ring of Gaussian Integers

Why Doesn't 0 Being a Prime Ideal in Z Imply That 0 Is a Prime Number?