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12 Nov 2019
Using the standard notions of addition and multiplication, which of the following are rings? For these that are not rings, say why not. For those that are rings you don't have to prove they are rings, but instead answer those questions: Are they commutative? Do they have unity? Are they integral domains? Fields? The set of quadratic polynomials in x with integer coefficients (that is, {ax2 + bx + c: a, b, c Z}, where x is a formal variable).
Using the standard notions of addition and multiplication, which of the following are rings? For these that are not rings, say why not. For those that are rings you don't have to prove they are rings, but instead answer those questions: Are they commutative? Do they have unity? Are they integral domains? Fields? The set of quadratic polynomials in x with integer coefficients (that is, {ax2 + bx + c: a, b, c Z}, where x is a formal variable).
Sixta KovacekLv2
12 Nov 2019