一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群，但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群。
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.
作为拟C-半群的推广，本文定义了左半正则纯整群并半群，给出了它的左半织积结构。
As a generalization of quasi C semigroups, left semiregular orthogroups are defined in this paper.
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