An integral basis for algebraic fields

Let A be a principal ideal domain, K be the quotient field of A, and let L be a cubic extension of K. In this paper we establish the existence of a special type of integral basis of the field L over K which is a generalization of the integral basis of Voronoi for cubic extensions of the field Q of rational numbers.Translated from Matematicheskie Zametki, Vol. 13, No. 2, pp. 229–234, February, 1973.