We show that the Jordan bracket on an associative commutative superalgebra is extendable to the superalgebra of fractions. In particular, we prove that a unital simple abelian Jordan superalgebra is embedded into a simple superalgebra of a Jordan bracket. We also study the unital simple Jordan superalgebras whose even part is a field. We demonstrate that each of these superalgebras is either a superalgebra of a nondegenerate bilinear form, or a four-dimensional simple Jordan superalgebra, or a superalgebra of a Jordan bracket, or a superalgebra whose odd part is an irreducible module over a field.

中文翻译：

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将 Jordan 超代数嵌入 Jordan 括号的超代数

我们证明了结合交换超代数上的 Jordan 括号可扩展到分数的超代数。特别地，我们证明了一个整体的简单阿贝尔 Jordan 超代数嵌入到 Jordan 括号的简单超代数中。我们还研究了偶数部分是一个域的单位简单 Jordan 超代数。我们证明这些超代数中的每一个都是非退化双线性形式的超代数，或四维简单 Jordan 超代数，或 Jordan 括号的超代数，或奇数部分是域上不可约模的超代数。