Irreducible Radical Field Extensions
نویسندگان
چکیده
This paper is devoted to irreducible radical field extensions, i.e., extensions that can be obtained by adjunction of roots binomials. We find a criterion for cyclotomic radical. developes the Gauss–Wantzel theorem about constructible polygons. also prove any normal solvable extension some K until has all unity. generalizes Abel’s theorem, which fills gap in uncomplete Ruffini proof impossibility general equation degree five or higher. Finally, we root set polynomial coincides with value formula using extensions.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2023
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-023-06296-2