中文摘要：

研究了定义在Riesz空间Cartesian乘积的序理想上的正双线性算子的扩张问题,得到了该类算子关于向量格运算的表达.

英文摘要：

The extension of positive bilinear operator defined in an order ideal of Cartesianproduct of Riesz spaces is studied. Moreover the representations of vector lattice operationsof this operator are presented in detail.