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.
出处
《数学理论与应用》
2002年第3期29-33,共5页
Mathematical Theory and Applications
关键词
C半环
左零半环
左环
伪强右正规幂等半环
C-semiring left zero semiring left ring pseudo-strong right normal idempotent semiring of left zero semirings.
