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If R = S/I, where S is a polynomial ring, then the degree of R is by definition the degree of I, or the degree of the S-module R. See degree(Module) for more details.
i1 : R = QQ[a..d]/(a*d-b*c, b^2-a*c, c^2-b*d)

o1 = R

o1 : QuotientRing
i2 : degree R

o2 = 3

See also

Ways to use this method: