Proceedings of the American Mathematical Society, Vol. 107, No. 2 (Oct., 1989), pp. 299-308 (10 pages) The notion of defect for finite algebraic extensions of valued fields is classical and due to ...

This is a preview. Log in through your library . Abstract Let F be an algebraic function field of one variable over a field K and let $A_{S}$ be its ring of S ...

Boolean functions form the backbone of modern cryptographic systems, serving as essential components in the design of stream ciphers, block ciphers, and other security protocols. Their inherent ...

High school math, and algebra, in particular, is in crisis. Although some students thrive on the pathway to calculus, most do not. Algebra I is the single most failed course in American high schools.