deg (f(x)g(x)) = deg f(x) + deg g(x)
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Modern Algebra
Ring Theory (XXXVIII)
Polynomial Rings over Commutative Rings
Integral Domain
Degree of a Polynomial
Zero-divisor of a commutative ring
If R is an integral domain, prove that for any two non-zero elements f(x), g(x) of R[x],
deg (f(x)g(x)) = deg f(x) + deg g(x)
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Solution Summary
This solution is comprised of a detailed explanation of Polynomial Rings over Commutative Rings. It contains step-by-step explanation of deg (f(x)g(x)) = deg f(x) + deg g(x) where f(x), g(x) belongs to R[x].
Solution contains detailed step-by-step explanation.
Education
- BSc, Manipur University
- MSc, Kanpur University
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