Irreducible Congruences Over GF(2) Hanneken, C. B.
Transactions of the American Mathematical Society,
06/1974, Letnik:
193
Journal Article
Recenzirano
Odprti dostop
In characterizing and determining the number of conjugate sets of irreducible congruences of degree m belonging to GF(p) relative to the group G(p) of linear fractional transformations with ...coefficients belonging to the same field, the case p = 2 has been consistently excluded from considerations. In this paper we consider the special case p = 2 and determine the number of conjugate sets of m-ic congruences belonging to GF(2) relative to G(2).
Chebyshev approximation involving continuous functions vanishing on a closed set V is considered. The approximating families studied have the betweenness property. Examples are given of such ...families. A necessary and sufficient condition for uniqueness of best approximations is obtained.
The number of conjugate sets of irreducible congruences of degree $m$ belonging to $GF(p), p > 2$, relative to the group $G$ of linear fractional transformations with coefficients belonging to the ...same field has been determined for $m \leqq 8$. In this paper the irreducible congruences of prime power degree $q^\alpha, q > 2$, are considered and the number of conjugate sets relative to $G$ is determined.
It is shown in this paper that the second order dual A" of an Archimedean (almost) f-algebra A, equipped with the Arens multiplication, is again an (almost) f-algebra. Also, the order continuous ...bidual (A')'nof an Archimedean d-algebra A is a d-algebra. Moreover, if the d-algebra A is commutative or has positive squares, then A" is again a d-algebra.
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