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半群上广义的素同余

GENERALIZED PRIME CONGRUENCE ON SEMIGROUPS
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摘要 讨论了素同余和半素同余.证明了每个半素同余是素同余的交.推广了有关该知识的最新结果[1]. Guo Yuqi showed that every completely semiprime congruence is an intersection of completely prime congruences on an arbitrary semigroup. In this paper,prime and semiprime congruences are considered. It is showed every semiprime congruence is an intersection of prime congruences.
出处 《山东师范大学学报(自然科学版)》 CAS 2006年第3期18-19,共2页 Journal of Shandong Normal University(Natural Science)
关键词 素同余 半素同余 半素理想 完全半素理想 完全素理想 prime congruence semipfime congruence semipfime ideal completely semiprime ideal completely prime ideal
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参考文献2

  • 1Guo Yuqi.Completely semiprime and completely prima congruences on semigroups[J].Proceeding the Kyoto Conference on Words,Languages and Combimatorics,1990,(3):179 ~ 186
  • 2Petrich M.Introduction so Semigroups[M].columbus,Ohio:Charles E Merill Publishing Company,1973

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