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Given a field $F$ of positive characteristic $p$, $\theta \in H_p^{n-1}(F)$and $\beta,\gamma \in F^\times$, we prove that if the symbols $\theta \wedge\frac{d \beta}{\beta}$ and $\theta \wedge \frac{d \gamma}{\gamma}$ in$H_p^n(F)$ share the same factors in $H_p^1(F)$ then the symbol $\theta \wedge\frac{d \beta}{\beta} \wedge \frac{d \gamma}{\gamma}$ in $H_p^{n+1}(F)$ istrivial. We conclude that when $p=2$, every two totally separably$(n-1)$-linked $n$-fold quadratic Pfister forms are inseparably $(n-1)$-linked.We also describe how to construct non-isomorphic $n$-fold Pfister forms whichare totally separably (or inseparably) $(n-1)$-linked, i.e. share all common$(n-1)$-fold quadratic (or bilinear) Pfister factors.

Types of Linkage of Quadratic Pfister Forms