中文摘要：

提出伪对合剩余格（非可换）的概念。通过在伪效应代数中引入两个部分运算，研究了伪对合剩余格与格伪效应代数之间的自然关系，证明了以下结论：在一定条件下，一个格伪效应代数可被扩张成为一个伪对合剩余格，同时一个伪对合剩余格可被限制为一个格伪效应代数。特别地，得到伪对合剩余格成为具有Riesz分解性质的格伪效应代数的一个充要条件。最后，还讨论了伪效应代数与剩余格的理想与滤子理论。

英文摘要：

The notion of pseudo-involutive residuated lattices （non-commutative） is introduced. By introducing two partial operations in pseudo-effeet algebras, the mutual relationship between pseudo-involutive residuated lattices and lattice pseudo-effect algebras are investigated. The following results are proved： a lattice pseudo- effect algebra under certain conditions ean be extended to a pseudo-involutive residuated lattice and the latter with certain properties can be restricted to the former. Especially, a sufficient and necessary condition for a pseudo-involutive residuated lattice to be lattice pseudo-effect algebra with the Riesz decomposition property is obtained. Finally,the ideals and filters of pseudo-effect algebras and pseudo residuated lattices are investigated.