2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62984This paper discusses the construction of a generalized Alexander polynomial for virtual knots and links, and the reformulation of this invariant as a quantum link invariant. The algebraic background for the generalized Alexander module is formulated in terms of the biquandle, a generalization of the quandle of David Joyce (which, in turn, is a generalization of the fundamental group of the knot or link). We then introduce the concept of a bi-oriented quantum algebra which provides an algebraic context for the associated quantum invariant.LaTeX document, 34 pages, 13 figures, in text LaTeX graphicsGeometric TopologyRings and Algebras57M25text