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An extension $D \subseteq R$ of integral domains is strongly $t$ -compatible (resp., $t$ -compatible) if ${(I R)}^{- 1} = {(I^{- 1} R)}_{v}$ (resp., ${(I R)}_{v} = {(I_{v} R)}_{v})$ for every nonzero finitely generated fractional ideal $I$ of $D$ . We show that strongly $t$ -compatible implies $t$ -compatible and give examples to show that the converse does not hold. We also indicate situations where strong $t$ -compatibility and its variants show up naturally. In addition, we study integral domains $D$ such that $D \subseteq R$ is strongly $t$ -compatible (resp., $t$ -compatible) for every overring $R$ of $D$ .

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S-divisible modules over domains.

Semiprime factorizations in unions of Dedekind domains.

Semirigid GCD Domains.

Some characterizations of v-domains and related properties

Sous-anneaux de la forme D+I d'une K-algèbre intègre

Stability, duality, 2-generated ideals and a canonical decomposition of modules

Stability of some integral domains on a pullback

Star operations in extensions of integral domains

Star stability and star regularity for Mori domains

Subjective polynomial maps, and a remark on the jacobian problem.

Sulla proprietà di estensione nei domini noetheriani

Sur la compatibilité à Frobenius de l’isomorphisme de dualité relative

Sur les suranneaux minimaux.

Currently displaying 1 – 13 of 13