Abstract

In this paper, it is proved that a commutative unary algebra with join-semidistributive topology lattice either is two-element or any two monogenic subalgebras of this algebra are comparable under inclusion. We also describe the class of all algebras with one unary operations whose topology lattices are join-semidistributive.

中文翻译：

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具有半连接拓扑格的交换一元代数

摘要

在本文中，证明了具有连接半分布拓扑格的可交换一元代数是二元或该代数的任意两个单基因子代数在包含下是可比较的。我们还描述了具有一元运算的所有代数的类，这些运算的拓扑格是连接半分布的。