Sequential products on horizontal sums of effect algebras

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (25): 65-67.

• 研究、探讨 • Previous Articles Next Articles

Sequential products on horizontal sums of effect algebras

LU Ling1，CAO Huaixin2，LI Li3

1.Section of Military Operation Research，Xi’an Military Academy，Xi’an 710108，China
2.College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China
3.School of Science，Xi’an Polytechnic University，Xi’an 710048，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-09-01 Published:2011-09-01

效应代数水平和上的序列积

陆玲1，曹怀信2，李莉3

1.西安陆军学院军事运筹教研室，西安 710108
2.陕西师范大学数学与信息科学学院，西安 710062
3.西安工程大学理学院，西安 710048

Abstract

Abstract: A sufficient and necessary condition for the existence of sequential pruducts on a horizontal sum of sequential effect algebras is established and a useful method for constructing a sequential effect algebra from a horizontal sum of sequential effect algebras is given.

Key words: sequential effect algebra, horizontal sum, sequential pruduct, additive map

摘要： 建立了一族可和序列效应代数的水平和上具有序列积的充分必要条件，进而给出了由序列效应代数的水平和构造序列效应代数的一种方法。

关键词: 序列效应代数, 水平和, 序列积, 可加映射

LU Ling1，CAO Huaixin2，LI Li3. Sequential products on horizontal sums of effect algebras[J]. Computer Engineering and Applications, 2011, 47(25): 65-67.

陆玲1，曹怀信2，李莉3. 效应代数水平和上的序列积[J]. 计算机工程与应用, 2011, 47(25): 65-67.

[1]	GUO Jian-sheng. Holland’s theory for sequential effect algebras [J]. Computer Engineering and Applications, 2010, 46(27): 29-31.
[2]	GUO Jian-sheng¹，LI Yong-ming^1,2. Ideals and congruence of distributive sequential effect algebra [J]. Computer Engineering and Applications, 2009, 45(25): 18-20.

Sequential products on horizontal sums of effect algebras

效应代数水平和上的序列积

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