Ideal matrices. III.

In this paper ideal matrices with respect to ideals in the maximal order of an algebraic number field are connected with the different of the field and with group matrices in the case of normal fields whose maximal order has a normal basis

Additive commutators of rational 2×2 matrices

AbstractThe expression of det (AB-BA) as a norm in both (Q(m) and Q(n) for 2×2 rational matrices with characteristic roots in Q(m), resp. Q(n), is studied here further, see [1]. A necessary and sufficient condition for this element to be also a norm in Q(m,n) is obtained

A result concerning classes of matrices

AbstractThis paper is concerned with the n-dimensional integral representations of an order in an algebraic number field of degree n, and their composition

On the congruence transformation of a pencil of real symmetric matrices to a pencil with identical characteristic polynomial

AbstractSimultaneous nonorthogonal congruence transformations for pairs A, B of 2 × 2 real symmetric matrices which leave the characteristic polynomial of the pencil x1A + x2B invariant are studied