Polynomial rings over pseudovaluation rings.
Bhat, V.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Polynomial rings over pseudovaluation 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)...