TY  - JOUR
TI  - On density theorems for rings of Krull type with zero divisors
AB  - 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.
AU  - AY SAYLAM, BAŞAK
PY  - 2014
JO  - Turkish Journal of Mathematics
VL  - 38
IS  - 4
SN  - 1300-0098
SP  - 614
EP  - 624
DB  - TRDizin
UR  - http://search/yayin/detay/186858
ER  -