Finite involution semigroups with infinite irredundant bases of identities
Finite involution semigroups with infinite irredundant bases of identities
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DOI：
10.1515/forum-2014-0098
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发表时间：
2016
影响因子：
0.8
通讯作者：
Edmond W. H. Lee
中科院分区：
文献类型：
--
作者：
Edmond W. H. Lee
如果一个代数的每一个真子集都不能作为该代数的基，则该代数的恒等式的基是非多余的。给出了第一个已知的具有In nite非冗余基的nite对合半群的例子。这些对合半群满足几个违反直觉的性质：它们的半群约简不具有无余余基，它们与其他一些基于N的对合半群共享约简，它们是基于N的对合半群的直积。
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basis for the algebra. The rst known examples of nite involution semigroups with in nite irredundant bases are exhibited. These involution semigroups satisfy several counterintuitive properties: their semigroup reducts do not have irredundant bases, they share reducts with some other nitely based involution semigroups, and they are direct products of nitely based involution semigroups.