A $v$-operation free approach to Prüfer $v$-multiplication domains - Mathematics > Commutative AlgebraReportar como inadecuado




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Abstract: The so called Pr\-ufer $v$-multiplication domains P$v$MD-s are usuallydefined as domains whose finitely generated nonzero ideals are $t$-invertible.These domains generalize Pr\-ufer domains and Krull domains. The P$v$MD-s arerelatively obscure compared to their very well known special cases. One of thereasons could be that the study of P$v$MD-s uses the jargon of star operations,such as the $v$-operation and the $t$-operation. In this paper, we providecharacterizations of and basic results on P$v$MD-s and related notions withoutstar operations.



Autor: Marco Fontana, Muhammad Zafrullah

Fuente: https://arxiv.org/







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