Embedding any countable semigroup without idempotents in a 2-generated simple semigroup without idempotents
Embedding any countable semigroup without idempotents in a 2-generated simple semigroup without idempotents
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将任何不具有幂等性的可数半群嵌入到 2 生成的不具有幂等性的简单半群中
DOI：
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发表时间：
1988
影响因子：
0.5
通讯作者：
K. Byleen
中科院分区：
文献类型：
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作者：
K. Byleen
虽然正则简单半群和无幂等的简单半群显然处于简单半群谱的两端，但它们的理论包含了一些有趣的联系。Jones[5]得到了无幂等的简单半群的双环半群的类似物。Megyesi和Pollák[7]在两个生成元上对所有组合简单主理想半群进行了分类，证明它们都是一个没有幂等元的组合简单主理想半群Po的同态象。
Although the classes of regular simple semigroups and simple semigroups without idempotents are evidently at opposite ends of the spectrum of simple semigroups, their theories involve some interesting connections. Jones [5] has obtained analogues of the bicyclic semigroup for simple semigroups without idempotents. Megyesi and Pollák [7] have classified all combinatorial simple principal ideal semigroups on two generators, showing that all are homomorphic images of one such semigroup Po which has no idempotents.