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1)  left quasi simple ring
左拟单环
2)  left quasi-morphic rings
左拟-morphic环
3)  left quasi-Frobenius coring
左拟Frobenius余环
4)  left Quasi-continuous
左拟连续环
5)  left ring
左环
1.
It is proved that V-idempotent semiring is normal if and only if it is a pseudo-strong right normal idempotent semiring of left zero semirings,and the direct product of left normal V-idempotent semiring with a ring is a pseudo-strong semilattice idempotent semiring of left rings,and some corollaries.
证明了V-幂等半环是正规的当且仅当它是左零半环的伪强右正规幂等半环,并得出左正规V-幂等半环与环的直积是左环的伪强半格幂等半环,及相关结论。
2.
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.
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。
3.
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.
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。
6)  Virtual one-way PPring
虚拟单向PP环
补充资料:两蜀故人寄余阆中左绵题名石刻来皆二十余年
【诗文】:
忆过西州乐饮时,百车载酒万花围。
只言身外皆余事,岂信人间有骇机。
雪鬓已成新梦境,缁尘空化旧征衣。
早知一笑难如此,剩判年光醉不归。



【注释】:
【注释】:原题:两蜀故人寄余阆中左绵题名石刻来皆二十余年矣怅然有感



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