On density theorems for rings of Krull type with zero divisors
Yıl: 2014 Cilt: 38 Sayı: 4 Sayfa Aralığı: 614 - 624 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
On density theorems for rings of Krull type with zero divisors
Öz: 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.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA | AY SAYLAM B (2014). On density theorems for rings of Krull type with zero divisors. , 614 - 624. |
Chicago | AY SAYLAM BAŞAK On density theorems for rings of Krull type with zero divisors. (2014): 614 - 624. |
MLA | AY SAYLAM BAŞAK On density theorems for rings of Krull type with zero divisors. , 2014, ss.614 - 624. |
AMA | AY SAYLAM B On density theorems for rings of Krull type with zero divisors. . 2014; 614 - 624. |
Vancouver | AY SAYLAM B On density theorems for rings of Krull type with zero divisors. . 2014; 614 - 624. |
IEEE | AY SAYLAM B "On density theorems for rings of Krull type with zero divisors." , ss.614 - 624, 2014. |
ISNAD | AY SAYLAM, BAŞAK. "On density theorems for rings of Krull type with zero divisors". (2014), 614-624. |
APA | AY SAYLAM B (2014). On density theorems for rings of Krull type with zero divisors. Turkish Journal of Mathematics, 38(4), 614 - 624. |
Chicago | AY SAYLAM BAŞAK On density theorems for rings of Krull type with zero divisors. Turkish Journal of Mathematics 38, no.4 (2014): 614 - 624. |
MLA | AY SAYLAM BAŞAK On density theorems for rings of Krull type with zero divisors. Turkish Journal of Mathematics, vol.38, no.4, 2014, ss.614 - 624. |
AMA | AY SAYLAM B On density theorems for rings of Krull type with zero divisors. Turkish Journal of Mathematics. 2014; 38(4): 614 - 624. |
Vancouver | AY SAYLAM B On density theorems for rings of Krull type with zero divisors. Turkish Journal of Mathematics. 2014; 38(4): 614 - 624. |
IEEE | AY SAYLAM B "On density theorems for rings of Krull type with zero divisors." Turkish Journal of Mathematics, 38, ss.614 - 624, 2014. |
ISNAD | AY SAYLAM, BAŞAK. "On density theorems for rings of Krull type with zero divisors". Turkish Journal of Mathematics 38/4 (2014), 614-624. |