某种幂等半环的结构  

Structure of some idempotent semirings

作　　者：张璇[1] 

机构地区：[1]山东财政学院数学系,山东济南250014

出　　处：《山东科学》2005年第1期8-11,23,共5页Shandong Science

摘　　要：构造了C 半环的伪强右正规幂等半环的结构,证明了A 幂等关环是正规幂等半环,当且仅当它是左零半环的伪强右正规幂等半环,得出这类幂等关环与环的直积是左环的伪强半格幂等关环及相关结论.In this paper,we construct the structure of the pseudo-strong right normal idempotent semiring of C-semirings,and then an A-idempotent semiring is a normal idempotent semiring,if and only if it is a pseudo-strong right (normal) idempotent semiring of left zero semirings.This result last gets the characterization of the direct product of left normal A-idempotent semiring and a ring as a pseudo-strong semilattice idempotent semiring of left rings,and some corollaries.

关 键 词：左零半环 左环 R幂等半环 左零半环的伪强右正规幂等半环. 

分 类 号：O153.3[理学—数学]