Finitely approximable regular semigroups

Finitely approximable regular semigroups
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有限近似正则半群

DOI:
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发表时间:
1975
期刊:
影响因子:
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通讯作者:
É. Golubov
É. Golubov
中科院分区:
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文献类型:
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作者:
É. Golubov

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本文证明了子群都是有限逼近的正则半群是有限逼近的,并且证明了每个主因子的幂等集合是有限的。作为一个推论,得到了某类正则半群有限逼近的充分必要条件。
In this note it is proved that a regular semigroup whose subgroups are all finitely approximable is finitely approximable and that the set of idempotents of each principal factor is finite. As a corollary necessary and sufficient conditions are found for certain classes of regular semigroups to be finitely approximable.