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Title: | On density theorems for rings of Krull type with zero divisors | Authors: | Ay Saylam, Başak | Keywords: | Krull ring Ring of krull type Valuation marot ring |
Issue Date: | May-2014 | Publisher: | TUBITAK | Source: | Ay Saylam, B. (2014). On density theorems for rings of Krull type with zero divisors. Turkish Journal of Mathematics, 38(4), 614-624. doi:10.3906/mat-1307-24 | 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 ⊆ A. If R is a Marot ring of Krull type, then R(Pi), where {Pi}i∈I are a collection of prime regular ideals of R, is a valuation ring and R = ∩ R(Pi) . We denote by Gi the value group of the valuation associated with R(Pi). We prove that there is an order homomorphism from I(R) into the cardinal direct sum ∐i∈I Gi and we investigate the conditions that make this monomorphism onto for R. | URI: | https://doi.org/10.3906/mat-1307-24 http://hdl.handle.net/11147/5605 https://search.trdizin.gov.tr/yayin/detay/246763 |
ISSN: | 1300-0098 1303-6149 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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