摘要
称一个簇是limit簇,如果它是极小的非有限基簇.证明了limit幺半群簇var{A^1×B^1}包含一个非有限基的真子簇,因此var{A^1×B^1}不是limit半群簇,从而给出了一个limit幺半群簇不是limit半群簇的例子.
A limit variety is a variety that is minimal with respect to being non-finitely based.We prove that the limit monoid variety var{A^1×B^1} contains a proper subvariety that is non-finitely based as a semigroup variety,and hence it is not a limit variety of semigroups.This gives an example of limit monoid varieties which is not a limit semigroup variety.
出处
《兰州大学学报(自然科学版)》
CAS
CSCD
北大核心
2017年第1期127-130,共4页
Journal of Lanzhou University(Natural Sciences)
基金
Supported by Natural Science Foundation of China(11371177,11401275)
the Fundamental Research Funds for the Central Universities(LZUJBKY-2015-79)
关键词
有限基
簇
limit簇
finitely based
variety
limit variety