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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
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The center of a(n endomorphism) ring is a PID
Here are two results from the literature, found in Endomorphism Rings of Abelian Groups, p. 269. For these to be relevant, we need $\mathrm{End}(A)$ to be commutative.
Some terminology. A group is $A …