1) Men of great ability
空群之选
2) a crowd chasing the benefit
逐利之群
3) debate on group and individual
群己之辩
4) A talent who excels the masses of men
轶群之材
5) To rise together and expel him
群起攻之
6) union of groups
群之并
1.
It is proved that a generalized adjoint semigroup R◇ of a ring R is a union of groups if and only if R◇ is isomorphic to the generalized adjoint semigroup induced by E11 of a Morita context M(S,T,U,V),where S is a generalized radical ring,T is a strongly regular ring,VU=0,and eU=Ve=0 for any idempotent e∈S.
证明了环R有一个广义圈乘半群R◇是群之并当且仅当R◇同构于一个Morita contextM(S,T,U,V)的由E11诱导的广义圈乘半群,其中S是广义根环,T是强正则环,VU=0,并且对于S的任意幂等元e,都有eU=Ve=0。
补充资料:耽耽逐逐
1.瞪目逼视而急欲攫取。语本《易.颐》:"虎视耽耽﹐其欲逐逐。"《汉书.叙传下》"六世耽耽"唐颜师古注引作"虎视耽耽,其欲浟浟",曰:"耽耽,威视之貌也。浟浟,欲利之貌也。今《易》浟字作逐。" 2.形容贪婪追逐貌。
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