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MATRIX VALUATION PSEUDO RING (MVPR) AND AN EXTENSION THEOREM OF MATRIX VALUATION | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 6، دوره 13، شماره 4، اسفند 2002 اصل مقاله (148.3 K) | ||
چکیده | ||
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.” | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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