摘要
研究由有限多个有限域F1,…,Fk所生成的环簇V的有限基底问题.利用构造恒等式及寻找次直不可约环的方法,证明了V是有限基底的,并且F1,…,Fk的所有子域是V中的仅有的次直不可约环.
The variety Vis generated by a finite number of finite fields F1,…,Fk.The problem of finite basis of Vis studied.By using constructing identities and searching subdirectly irreducible rings in V,it is proved that the variety Vis finitely based.Also,the results show that all subfields of F1,…,Fkare the only subdirectly irreducible rings in V.
出处
《纺织高校基础科学学报》
CAS
2015年第1期14-17,共4页
Basic Sciences Journal of Textile Universities
关键词
有限域
含幺交换环
次直不可约
簇
finite field
subdirectly irreducible
communicative ring with identity
variety
