Structure theorems for AP rings

Details Structure theorems for AP rings Structure theorems for AP rings

2007-01-29

arxiv.org/abs/math/0701830v1

Mathematics

Rings and Algebras

17 pages

Scientific paper

In ``New Proofs of the structure theorems for Witt Rings'', Lewis shows how the standard ring-theoretic results on the Witt ring can be deduced in a quick and elementary way from the fact that the Witt ring of a field is integral and from the specific nature of the explicit annihilating polynomials he provides. We will show in the present article that the same structure results hold for larger classes of commutative rings and not only for Witt rings. We will construct annihilating polynomials for these rings.

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