Abstract Algebra QuestThe Cayley Citadel: learn groups, cosets, homomorphisms, rings, ideals, and fields by beating proof encounters.

Apprenticeship rank0 XP
Magma Initiate
Final exam opens in
40
encounters. You can keep practicing afterward, but the exam score is frozen when the counter hits zero.
Practice encounter

Welcome to the Cayley Citadel

Choose a wing of the citadel to begin. Each answer unlocks definitions and strengthens a real abstract-algebra reflex.
Suggested path: Axiom Forge → Cyclic Lab → Subgroup Watch → Coset Cartography.
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