Ring-theoretic properties of PVMDs

Mathematics – Commutative Algebra

Scientific paper

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15 pages, to appear in Communications in Algebra

Scientific paper

We extend to Pr\"ufer $v$-multiplication domains some distinguished
ring-theoretic properties of Pr\"ufer domains. In particular we consider the
$t##$-property, the $t$-radical trace property, $w$-divisoriality and
$w$-stability.

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