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Infinite elementary divisor structure-preserving transformations for polynomial matrices

100%

Karampetakis N. P., Vologiannidis S.

International Journal of Applied Mathematics and Computer Science

2003

tom 13

nr 4

493-503

The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the 'polynomial matrix approach', where some conditions between the 1-D polynomial matrices and their transforming matrices are proposed.

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

63%

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 International Journal of Applied Mathematics and Computer Science

1 Open Mathematics

1 Abad M.

1 C. Vannicola M.

1 Díaz Varela J.

1 Karampetakis N. P.

1 López Martinolich B.

1 Vologiannidis S.

1 Zander M.

1 2006

1 2003

Wyniki wyszukiwania

Infinite elementary divisor structure-preserving transformations for polynomial matrices

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