两个转换器之间的关系
The relationship between two commutators
摘要：
我们澄清之间的关系的线性换向器和普通的换向器表明，在任何品种满足非平凡的幂等Mal'cev条件的线性换向器是可定义的中心化关系。我们由此得出，阿贝尔代数是拟仿射在这样的品种。我们通过证明如果A是一个阿贝尔代数并且V（A）满足一个幂等Mal'cev条件，而这个条件在半格的簇中不成立，则A是仿射的。
英文摘要：
We clarify the relationship between the linear commutator and the ordinary commutator by showing that in any variety satisfying a nontrivial idempotent Mal'cev condition the linear commutator is definable in terms of the centralizer relation. We derive from this that abelian algebras are quasi-affine in such varieties. We refine this by showing that if A is an abelian algebra and V(A) satifies an idempotent Mal'cev condition which fails to hold in the variety of semilattices, then A is affine.
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