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左拟正规带的自由积
引用本文:毕晓冬.左拟正规带的自由积[J].山东大学学报(理学版),2008,43(6):83-86.
作者姓名:毕晓冬
作者单位:山东警察学院人事处,山东,济南,250014
摘    要:证明了左拟正规带在半群范畴中的自由积的极大左拟正规带同态象,同构于它们在左拟正规带范畴中的自由积,从而证明了左拟正规带自由积的存在性。还建立了交换自由积的概念,并考察了半格自由积与交换自由积的关系。

关 键 词:左拟正规带  半格  自由积  范畴  交换自由积
收稿时间:2007-09-30

Free product of left quasi-normal bands
BI Xiao-dong.Free product of left quasi-normal bands[J].Journal of Shandong University,2008,43(6):83-86.
Authors:BI Xiao-dong
Institution:Personnel Office, Shandong Police College, Jinan 250014, Shandong, China
Abstract:It is proved that the maximal left quasi-normal band homomorphic image of the free product of right quasi-normal bands in the semi-group categrory is isomorphic to their free product in the left quasi-normal band category. Then, the existence of the free product in left quasinormal band was proved. Finally, the concept of commutative free product was given, and the relationship between semi-lattice free product and commutative free product was examined.
Keywords:left quasi-normal band  semi-lattice  free product  category  commutative free product
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