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An equivalence between varieties of cyclic Post algebras and varieties generated by a finite field

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Abad M., Díaz Varela J., López Martinolich B., C. Vannicola M., Zander M.

Open Mathematics

2006

tom 4

nr 4

547-561

In this paper we give a term equivalence between the simple k-cyclic Post algebra of order p, L p,k, and the finite field F(p k) with constants F(p). By using Lagrange polynomials, we give an explicit procedure to obtain an interpretation Φ1 of the variety V(L p,k) generated by L p,k into the variety V(F(p k)) generated by F(p k) and an interpretation Φ2 of V(F(p k)) into V(L p,k) such that Φ2Φ1(B) = B for every B ε V(L p,k) and Φ1Φ2(R) = R for every R ε V(F(p k)).

Ograniczanie wyników

1 Open Mathematics

1 Abad M.

1 C. Vannicola M.

1 Díaz Varela J.

1 López Martinolich B.

1 Zander M.

1 2006

Wyniki wyszukiwania

An equivalence between varieties of cyclic Post algebras and varieties generated by a finite field