Division algebras that generalize Dickson semifields
نویسندگان
چکیده
منابع مشابه
Simple Lie Algebras Which Generalize Witt Algebras
We introduce a new class of simple Lie algebras W (n, m) (see Definition 1) that generalize the Witt algebra by using " exponential " functions, and also a subalgebra W * (n, m) thereof; and we show each derivation of W * (1, 0) can be written as a sum of an inner derivation and a scalar derivation (Theorem. 2) [10]. The Lie algebra W (n, m) is Z-graded and is infinite growth [4].
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A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic. Here, a different proof is presented for this result. 1. Permutation polynomials of finite fields. In recent years cryptographers became interested in finding polynomials that induce a bijection of a finite fiel...
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ژورنال
عنوان ژورنال: Communications in Mathematics
سال: 2020
ISSN: 2336-1298
DOI: 10.2478/cm-2020-0012