Full necessary-and-sufficient conditions are given for coefficient-varying polynomial and power series rings to be (locally) associated subrings of larger such rings, with consequences for half-factorial power series over orders.
Elasticity in polynomial-type extensions.Proceedings of the Edinburgh Mathematical Society, 59:581 – 590, 2013
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(Locally) Associated Subrings in Polynomial and Power Series Extensions
Full necessary-and-sufficient conditions are given for coefficient-varying polynomial and power series rings to be (locally) associated subrings of larger such rings, with consequences for half-factorial power series over orders.