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 |
Issue Date: | 2020 | 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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s12044-019-0538-0.pdf | 254.31 kB | Adobe PDF | View/Open |
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