Combinatorial techniques and abstract Witt rings III
Robert Fitzgerald · Pacific Journal of Mathematics · 1991
We introduce an equivalence relation on maximal elements (i.e., -x) is maximal).We present a form theoretic proof of Marshall's classification of reduced Witt rings, thus providing a possible outline for proving the full elementary type conjecture.The same relation restricted to elements of index two yields characterizations of Witt rings with a factor either of local type or a group ring extension of a totally degenerate Witt ring.40