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Irreducible Polynomial
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Geliefert zwischen Do., 05.02.2026 und Fr., 06.02.2026
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High Quality Content by WIKIPEDIA articles! In mathematics, the adjective irreducible means that an object cannot be expressed as the product of two or more non-trivial factors in a given set. See also factorization. For any field F, the ring of polynomials with coefficients in F is denoted by F. A polynomial p(x) in F is called irreducible over F if it is non-constant and cannot be represented as the product of two or more non-constant polynomials from F. The property of irreducibility depends on the field F; a polynomial may be irreducible over some fields but reducible over others. Some simple examples are discussed below. Galois theory studies the relationship between a field, its Galois group, and its irreducible polynomials in depth. Interesting and non-trivial applications can be found in the study of finite fields.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131129209
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131129209
- Format Fachbuch
- Titel Irreducible Polynomial
- Herausgeber Betascript Publishing
- Anzahl Seiten 116
- Genre Mathematik
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