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Field Extensions and Kronecker’s Theorem
| Content Provider | Scilit |
|---|---|
| Author | Anderson, Marlow Feil, Todd |
| Copyright Year | 2014 |
| Description | Consider the polynomial x2 + 1 ∈ R[x]. This polynomial clearly has no roots in R, but we know that there exists a larger field-namely, C-in which this polynomial does have roots. In this chapter we develop a general method for constructing bigger fields, with the aim of being able to further factor polynomials. Book Name: A First Graduate Course in Abstract Algebra |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2013-0-28248-0&isbn=9780429156281&doi=10.1201/b17673-60&format=pdf |
| Ending Page | 439 |
| Page Count | 8 |
| Starting Page | 432 |
| DOI | 10.1201/b17673-60 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2014-11-07 |
| Access Restriction | Open |
| Subject Keyword | Book Name: A First Graduate Course in Abstract Algebra Theorem Consider Polynomial X2 Consider the Polynomial |
| Content Type | Text |
| Resource Type | Chapter |