论文标题
在一个田间的无扭转组的组代数中，具有小支撑的零除数
Zero divisors with small supports in group algebras of torsion-free groups over a field
论文作者
论文摘要
对于任何字段$ \ MATHBB {f} $和所有无圆形组$ \ mathbb {g} $，我们证明，如果$ ab = 0 $对于某些非零$ a，b \ in \ mathbb {f} [f} [\ mathbb {g} α_{2} g_ {2} $，然后$ g_ {1}，g_ {2} $满足$ \ Mathbb {g} $中的某些关系。
For any field $\mathbb{F}$ and all torison-free group $\mathbb{G}$, we prove that if $ab = 0$ for some non-zero $a, b \in \mathbb{F}[\mathbb{G}]$ such that $|supp(a)|$ $= 3$ and $a = 1 + α_{1}g_{1} + α_{2}g_{2}$, then $g_{1}, g_{2}$ satisfies certain relations in $\mathbb{G}$.
