Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/10496
Title: The group of invertible ideals of a Prufer ring
Authors: Saylam, Başak Ay
Keywords: Prufer ring
Invertible ideals
H-local ring
Marot ring
Publisher: Indian Academy of Sciences
Abstract: Let R be a commutative ring and I( R) denote the multiplicative group of all invertible fractional ideals of R, ordered by A <= B if and only if B subset of A. We investigatewhen there is an order homomorphism from I(R) into the cardinal direct sum G(i), where G(i)'s are value groups, if R is a Marot Prufer ring of finite character. Furthermore, over Prufer rings with zero-divisors, we investigate the conditions that make this monomorphism onto.
URI: https://doi.org/10.1007/s12044-019-0538-0
https://hdl.handle.net/10496
ISSN: 0253-4142
0973-7685
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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