I have known that there is an irreducible polynomial for any degree over rational field. However,for other fields such as finite field and extension fields for the rational field,what is the situation for the degree of irreducible polynomials.
Moreover, is there any criterions for this property?
2026-03-25 00:02:54.1774396974
Which field has the property that there is an irreducible polynomial of any degree over it?
113 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in FIELD-THEORY
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