Abstract: The definition of sequential effect algebras is introduced and some character of sequential effect algebras are given.It is proved that the quotient algebra induced by a prime ideal of a commutative sequential effect algebra is also a commutative sequential effect algebra.It is showed that every commutative sequential effect algebra can be represented by the commutative sequential effect algebra of automorphisms of an antilattice. Such a representation is useful since it gives a visualization of some commutative sequential effect algebra as a set of automorphisms.

Key words: sequential effect algebra, antilattice, prime ideal, automorphism

摘要： 介绍了序列效应代数的概念，给出了交换的序列效应代数的一些性质，证明了交换的序列效应代数由素理想诱导的商代数仍然是交换的序列效应代数。最后证明了每一个交换的序列效应代数能被表示为某个反格的自态射形成的序列效应代数。这样的表示是有用的，因为它给出了一个交换的序列效应代数作为自态射的集合的具体化。

关键词: 序列效应代数, 反格, 素理想, 自态射