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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

1 vote

Axiomatic definition of integers

This has been beaten to death, but here goes... The positive numbers in a ring are the sums of ones, i.e. the set of positive numbers is the smallest inductive subset of the ring. The negative number …
Omar Hijab's user avatar