Under suitable conditions the skewfield of fractions of a superalgebra which is a noetherian domain is canonically provided with a structure of superalgebra. This gives rise to a notion of rational equivalence in the category of superalgebras. We study from the point of view of this rational equivalence some low dimensional examples of quantum enveloping algebras of Lie superalgebras.

中文翻译：

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一些量子包络超代数的均匀定位

在合适的条件下，作为诺特域的超代数的分数的偏场典型地具有超代数的结构。这就产生了超代数范畴中的有理等价的概念。我们从这个有理等价的角度研究李超代数的量子包络代数的一些低维例子。