分配格的同调
Homology of Distributive Lattices
摘要：
我们概述了理论集与分配操作：多架和多主轴，提供的例子半格，格和斜格。对于每一个这样的结构，我们定义多项分配同调，并显示它的一些性质。主要结果是有限分配格的同调的一个完全公式。我们还指出了单位轴的答案，并推测了半格和一些斜格的一般公式。然后，我们提出了一个推广的格作为一个集的一些幂等运算满足吸收律。
英文摘要：
We outline the theory of sets with distributive operations: multishelves and multispindles, with examples provided by semi-lattices, lattices and skew lattices. For every such a structure we define multi-term distributive homology and show some of its properties. The main result is a complete formula for the homology of a finite distributive lattice. We also indicate the answer for unital spindles and conjecture the general formula for semi-lattices and some skew lattices. Then we propose a generalization of a lattice as a set with a number of idempotent operations satisfying the absorption law.
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