有界宽度代数中的例子、反例和结构
Examples, counterexamples, and structure in bounded width algebras
摘要：
研究了在每个真约简都没有有界宽度的意义下的极小有界宽度代数。我们证明了极小有界宽度代数可以通过一个基本的三元运算排列成一个伪簇。对大小不超过3的极小有界宽度代数进行了分类，证明了不含多数子代数的极小有界宽度代数的一个结构定理，它与一个交换二元运算构成一个伪簇.作为一个副产品，我们的结果，我们还分类最小的克隆，有泰勒项。
英文摘要：
We study bounded width algebras which are minimal in the sense that every proper reduct does not have bounded width. We show that minimal bounded width algebras can be arranged into a pseudovariety with one basic ternary operation. We classify minimal bounded width algebras which have size at most three, and prove a structure theorem for minimal bounded width algebras which have no majority subalgebra, which form a pseudovariety with a commutative binary operation. As a byproduct of our results, we also classify minimal clones which have a Taylor term.
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