效应代数作为一种代数结构在量子结构和量子测量的基础研究中起到重要作用,也广泛被大家关注.引入了效应代数的对偶效应代数这一新概念,讨论了对偶效应代数的一些性质.给出了一些典型效应代数的对偶效应代数的具体形式,并建立了效应代数与其对偶的密切关系.
Effect algebra,as an important algebraic structure,plays an important role in the study of quantum structure and quantum measurement and therefore is widely discussed.The dual of effect algebra is introduced and some properties of duals of effect algebras are given.The specific forms of duals of some classical dual effect algebras are obtained and a relationship between an effect algebra and its dual effect algebra is established.