Ling LU College of Mathematics and Information Science,Shaanxi Normal University, Xi'an 710062,P.R.China Section of Military Operation Research,Xi'an Military Academy,Xi'an 710108,P.R.China Huai Xin CAO Zheng Li CHEN Jun Cheng YIN College of Mathematics a
A series of properties of morphisms,monomorphisms and states on an effect algebra are discussed,and characterizations of morphisms and monomorphisms are given.It is proved that ifφ:E→F is additive,then it is morphism if and only ifφ(a') =(φ(a))'(■a∈E);and it is a monomorphism if and only if it is anti-order preserving,i.e.,φ(a)≤φ(b) implies a≤b.Finally,it is shown that if(P,≤) is a partially ordered set with the minimal and maxmual elements 0 and 1,respectively, and ifφis a family of mappings from P into[0,1]satisfying some conditions,then there exists a partial binary operation⊕in P such that(P,0,1,⊕) becomes an effect algebra withφas an order-determining state system.