在伪的弱效应代数的基础上给出伪的弱差分偏序集的概念,证明了伪的弱效应代数和伪的弱差分偏序集是等价的.通过引入伪的弱效应代数中的同余等概念证明了在特殊的同余条件下的商代数仍然是伪的弱效应代数,证明了满足RDP性质的伪BL-效应代数在特殊的同余关系下的商代数也是一个伪BL-效应代数并且具有子直积表示.
Pseudo weak D-poset are introduced. It is proved that a pseudo weak effect algebra is equivalence to a pseudo weak D-poset,a quotient algebra induced by a special congruence of pseudo weak effect algebra is also a pseudo weak effect algebra,a quotient algebra induced by a special congruence of pseudo BL-effect algebra with Riesz decomposition property is also a pseudo BL-effect algebra,and every pseudo BL-effect algebra with Riesz decomposition property has a subdirect product representation.