Witt rings of complete skew fields

Sładek, Andrzej

doi:10.2140/pjm.1988.132.391

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Examples Of Ap Rings1

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Cited by 3 publications

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“…(ix) Witt ring of a central simple algebra In [8] the first author and Tignol define this ring as a quotient of a group ring of abelian groups of exponent two. They generalize the notion of Witt ring of a skew field done earlier by Craven and Sladek (see [2] and [11]). All these Witt rings are AP rings with generating polynomial q(X) = X 2 − 1.…”

Section: Examples Of Ap Ringsmentioning

confidence: 67%

Structure theorems for AP rings

Wannemacker

Lewis

2007

Journal of Algebra

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In "New Proofs of the structure theorems for Witt Rings", the first author shows how the standard ringtheoretic 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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Section: Examples Of Ap Ringsmentioning

confidence: 67%