MATRIX VALUATION PSEUDO RING (MVPR) AND AN EXTENSION THEOREM OF MATRIX VALUATION

نویسندگان: ثبت نشده
چکیده مقاله:

Let R be a ring and V be a matrix valuation on R. It is shown that, there exists a correspondence between matrix valuations on R and some special subsets ?(MVPR) of the set of all square matrices over R, analogous to the correspondence between invariant valuation rings and abelian valuation functions on a division ring. Furthermore, based on Malcolmson’s localization, an alternative proof for the following result is presented. “There exists a natural bijection between the matrix valuations on R and valuated epic R-fields.”

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عنوان ژورنال

دوره 13  شماره 4

صفحات  -

تاریخ انتشار 2002-12-01

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