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Mathematics
Linear and Abstract Algebra
Field Extensions - Remarks by Lovett - Page 326 .... ....
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[QUOTE="Math Amateur, post: 6756839, member: 203675"] I am reading "Abstract Algebra: Structures and Applications" by Stephen Lovett ... I am currently focused on Chapter 7: Field Extensions ... ... I need help with some remarks of Lovett following Theorem 7.1.12 and Example 7.1.13 on page 326 ...The remarks by Lovett read as follows: https://www.physicsforums.com/attachments/6589 In the above remarks from Lovett, we read the following: " ... ... In the quotient ring [MATH]K[/MATH], this implies that [MATH]\overline{ a(x) q(x) } = 1[/MATH]. Thus in [MATH]K, \ a( \alpha ) q( \alpha ) = 1[/MATH]. ... ... "My question is as follows: Can someone please explain exactly why/how [MATH]\overline{ a(x) q(x) } = 1[/MATH] implies that [MATH]a( \alpha ) q( \alpha ) = 1[/MATH] ... ... ?Help will be appreciated ... Peter [/QUOTE]
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Forums
Mathematics
Linear and Abstract Algebra
Field Extensions - Remarks by Lovett - Page 326 .... ....
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