PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 39(53), pp. 83--87 (1986)
NONCOMMUTATIVE VALUATION RINGS
Elbert M. PirtleDepartment of Mathematics, U niversity of Missouri Kansas City, MI 64110, USA
Abstract: Noncommutative valuation rings are duo rings: Every right ideal is a left ideal and conversely. Properties of noncommutative valuation rings are compared to those of commutative valuation rings. Noncommutative valuatiun rings are integrally closed. A noncommutative valuation rings has all the properties of a commutative valuation ring if all its prime ideals are invariant.
Classification (MSC2000): 16A09
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