On the regular part of varieties of algebras
On the regular part of varieties of algebras
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论代数簇的正则部分
DOI：
10.1007/bf01190914
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发表时间：
1986
影响因子：
0.6
通讯作者：
P. Winkler
中科院分区：
文献类型：
--
作者：
E. Graczynska;David Kelly;P. Winkler
我们证明了各种代数的正则部分可能不完全由Plonka和的子代数组成；实际上，后者在同态映象下可能不是闭的。此外，我们还给出了一个有限基簇的例子，它的正则部分没有有限基(但有限基在不同的相似类型中)。我们的例子与已有的关于半群的结果进行了对比，并与已发表的关于一般情况的声明相矛盾。
We show that the regular part of a variety of algebras may not consist entirely of subalgebras of Plonka sums; indeed, the latter may not be closed under homomorphic images. In addition we give an example of a finitely based variety whose regular part has no finite basis (but is finitely based in a different similarity type).Our examples contrast with known results for semigroups, and contradict a published claim for the general case.