【摘要】 本文给出了Prequantale同余的概念,讨论了它与Prequantale商和核映射之间的关系,得到了Prequantale上的全体商、全体核映射和全体同余作为完备格是同构的结论．找到了与同余相对应的商的具体结构．证明了Prequantale范畴有余等子．更多还原

【Abstract】 The prequantic congruence is introduced, the relation between a prcquantic quotient and the nucleus is investigated. The conclusion that all quotients, all nuclei and all congruences of a prequantale are isomorphism is obtained. The concrete structure of quotient induced by a congruence is considered. Finally, as an application of congruence, we show the prequantale category has coequalizers.更多还原