A semigroup S is said to have an associate subgroup G if, for each s  S, there is a unique s*  G such that ss*s = s. If the identity 1 G of G is medial, i.e., c1 G c = c holds for each c being a product of idempotents, we show that S is isomorphic to a certain subsemigroup of a semidirect product of an idempotent generated semigroup C by G. If additionally S is orthodox, we may choose C to be a band, belonging to the band variety, generated by the band of idempotents of S.View full textDownload full textKey WordsAssociate subgroup, Idempotent generated semigroup, Medial idempotent, Semidirect product2000 Mathematics Subject Classification20M17, 20M19Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802107991
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机译：如果对于每个s S，都有一个唯一的s *ÂG使得ss * s = s，则表示一个半群S具有一个关联子组G。如果G的标识1 G 位于中间，即c1 G c = c对于每个c是幂等的乘积成立，则表明S与a同构。由G生成的幂等半群C的半幂乘积的半直接乘积的某个子半群。如果另外S是正统的，我们可以选择C作为由S幂等幂带生成的一个频带，属于该频带多样性。查看全文下载全文WordsAssociate子组，幂等生成的半组，Median幂等，半直接产品2000数学主题分类20M17、20M19相关的var addthis_config = { ，google，更多“，pubid：” ra-4dff56cd6bb1830b“};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00927870802107991
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