We give a full description of associative algebras over an arbitrary field, whose subalgebra lattice is distributive. All such algebras are commutative, their nil-radical is at most two-dimensional, and the factor algebra with respect to the nil-radical is an algebraic extension of the base field.

中文翻译：

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具有子代数分布格的结合代数

我们给出了任意域上的结合代数的完整描述，其子代数格是分布的。所有这些代数都是可交换的，它们的零根至多是二维的，并且关于零根的因子代数是基域的代数扩展。