2 problems

Let $\mathcal P$ be the set of partitions, and consider Young's lattice with a constant symbol for every partition, $\left\langle \mathcal P,\leq,\pi:\pi\in\mathcal P\right\rangle$…

Let $\textbf{Y}=\left\langle \mathcal P,\leq\right\rangle$ be Young's lattice, where $\mathcal P$ is the set of partitions ordered by inclusion of their Young diagrams. The Sigma-1…