The distributivity property of valuation rings
Ján Mináč (1981)
Mathematica Slovaca
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Displaying similar documents to “The covering of rings by valuation rings”
The distributivity property of valuation rings
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-rings are commutative rings whose factor rings modulo prime ideals are valuation rings. -rings occur most naturally in connection with partially ordered rings (= porings) and have been studied only in this context so far. The present note first develops the theory of -rings systematically, without assuming the presence of a partial order. Particular attention is paid to the question of axiomatizability (in the sense of model theory). Partially ordered -rings (-porings)...
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