Finite conductor rings

Glaz, Sarah

doi:10.1090/S0002-9939-00-05882-2

Finite conductor rings
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Proc. Amer. Math. Soc. 129 (2001), 2833-2843 Request permission

Abstract:

We extend the definition of a finite conductor domain to rings with zero divisors, and develop a theory of these rings which allows us, among other things, to provide examples of non-coherent finite conductor domains, and to clarify the behavior of non-coherent polynomial rings, group rings and fixed rings over coherent rings.

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