满足a+ab=a+b的幂等半环的结构  

STRUCTURE OF IDEMPOTENT SEMIRING WHICH SATISFIES THE IDENTITY a+ab=a+b

作　　者：张璇[1] 

机构地区：[1]山东师范大学数学系,济南250014

出　　处：《数学理论与应用》2002年第3期29-33,共5页Mathematical Theory and Applications

摘　　要：本文讨论了满足a+ab=a+b的幂等半环的结构,给出这种幂等半环是左零半环的伪强右正规幂等半环,并得出这种幂等半环与环的直积是左环的伪强右正规幂等半环.In this paper,we discuss the stucture of the idempotent semiring,which satisfies the identity a+ab = a+b. and this kind of idempotent semiring is a pseudo-strong right normal idempotent semiring of left zero semirings,This result gets the characterization of the direct product of this kind of idempotent sermiring and a ring as a pseudo-strong right normal idempotent semiring of left rings.

关 键 词：C半环 左零半环 左环 伪强右正规幂等半环 

分 类 号：O153.3[理学—数学]