Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5605
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
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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