Category:Induced Homomorphism of Polynomial Forms
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This category contains pages concerning Induced Homomorphism of Polynomial Forms:
Let $R$ and $S$ be commutative rings with unity.
Let $\phi: R \to S$ be a ring homomorphism.
Let $R \sqbrk X$ and $S \sqbrk X$ be the rings of polynomial forms over $R$ and $S$ respectively in the indeterminate $X$.
Then the map $\overline \phi: R \sqbrk X \to S \sqbrk X$ given by:
- $\map {\overline \phi} {a_0 + a_1 X + \cdots + a_n X^n} = \map \phi {a_0} + \map \phi {a_1} X + \cdots + \map \phi {a_n} X^n$
is a ring homomorphism.
Pages in category "Induced Homomorphism of Polynomial Forms"
The following 2 pages are in this category, out of 2 total.