Adjoining weak inverses and weak prime roots completes reduced commutative rings into a discriminator variety with regular monomorphisms and simple dominion descriptions.
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Implicit operations are partial functions on algebras defined by first-order formulas and preserved by homomorphisms; the paper develops their algebraic theory.
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A completion of reduced commutative rings
Adjoining weak inverses and weak prime roots completes reduced commutative rings into a discriminator variety with regular monomorphisms and simple dominion descriptions.
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The theory of implicit operations
Implicit operations are partial functions on algebras defined by first-order formulas and preserved by homomorphisms; the paper develops their algebraic theory.