Math PhD Exams

Exams in Group Theory, Ring Theory, Complex Analysis, and Real Analysis

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đŸ”— Comprehensive Exams in Mathematics

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This post details the steps I use to update or install the latest version of the Java Development Kit (JDK) on my Linux systems.

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Suppose the lattice shown below is a congruence lattice of an algebra.

Conjecture: If the three $\alpha_i$'s pairwise permute, then all pairs in the lattice permute.