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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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The number of ideals in a ring
It is known that any abelian group is a product of groups of the form $\mathbb{Z}/ n \mathbb{Z}$. Forgetting the multiplicative structure, your ring $A$ is of this form. An ideal of $A$ is a subgroup …