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By a deep, recent result of Hartmann and Priess-Crampe any ordered planar ternary ring with rational prime field admits a natural order-compatible place into the reals. This allows us to extend the classical machinery about real places and spaces of orderings, the notion of real and relative...
LetH be a semigroup with divisor theory and finite divisor class groupG such that every class contains a prime divisor (e.g.H the multiplicative semigroup of the ring of integers of an algebraic number field). For an elementa εH / H
× letL(a) =k
a has a factorization into irreducibles of...
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