纺织高校基础科学学报2012,Vol.25Issue(3):331-334,4.
幂等元半环簇的子簇(+R(。)D)∩ID
A subvariety(+R(。)D)∩ ID of idempotent semiring variety
摘要
Abstract
An important subvariety(+R°D) ∩ ID of the idempotent semiringvariety is studied in this paper. The Green s relations on the addtive reduct,the Green s relations on multiplicative reduct of an idempotent semiring,and the suddirect product decomposition of a semiring are used to characterize(+R°D) ∩ ID. The properties of the members of(+R°D) ∩ ID are obtained and the structures of the members of(+R°D) ∩ ID are discussed. The result of(+R°D) ∩ ID= (+R°D) ∩ ID) V ((+R°D) ∩ ID) is proved.关键词
幂等元半环/簇/格林关系/Mal'cev 积/次直积Key words
idempotent semiring/ variety/ Green s relations/ Mal' cev product/ suddirect product分类
数理科学引用本文复制引用
刘建华,李栋梁..幂等元半环簇的子簇(+R(。)D)∩ID[J].纺织高校基础科学学报,2012,25(3):331-334,4.基金项目
陕西省教育厅专项基金资助项目(2011JQ1017) (2011JQ1017)
西北大学科学研究基金资助项目(NC0925) (NC0925)