On a Condition for Semirings to Induce Compact Information Algebras

摘要：

　　In this paper we study the relationship between ordering structures on semirings and semiring-induced valuation algebras.We show that a semiring-induced valuation algebra is a complete (resp.continuous) lattice if and only if the semiring is complete (resp.continuous) lattice with respect to the reverse order-relation on semirings.Furthermore,a semiring-induced information algebra is compact,if the dual of the semiring is an algebraic lattice.

关键词： Semiring-induced valuation algebras Semirings Way-below relation Continuous information algebras.

作者: Guan Xuechong Li Yongming

作者单位: School of Mathematics and Statistics Jiangsu Normal University Xuzhou,China College of Computer Science Shaanxi Normal University Xi’an,China

会议类型: 国际会议

会议名称: The 6th International Symposium on Domain Theory and its Applications—ISDT’13(第六届Domain理论及应用国际学术研讨会)

会议地点: 长沙

会议语种:英文

页码: 39-48

在线出版日期: 2013-10-25（万方平台首次上网日期，不代表论文的发表时间）