目的研究一类重要的偏序半环——广义分配伪格。方法同余与同态的理论。结果获得了广义分配伪格的一些性质与特征,以及周期的广义分配伪格是弱交换的充要条件。结论这是一类十分自然的偏序半环,分配格和分配伪格都是它的特例,它的应用更加广泛。
Aim To study a class of partially-ordered semirings. Methods Using algebra theory. Results Some properties and characterizations of these semirings are given. Conclusion It is an actual class of partially-ordered semirings, the distributive lattice and the distributive pseudolattices are its special case, it has larger application scope.