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- W2148530014 abstract "Let R be a commutative ring and I(R) denote the multiplicative group of all invertible fractional ideals of R, ordered by A leqslant B if and only if B subseteq A. If R is a Marot ring of Krull type, then R_{(P_i)}, where {P_i}_{i in I} are a collection of prime regular ideals of R, is a valuation ring and R = bigcap R_{(P_i)}. We denote by G_i the value group of the valuation associated with R_{(P_i)}. We prove that there is an order homomorphism from I(R) into the cardinal direct sum coprod_{i in I} G_i and we investigate the conditions that make this monomorphism onto for R." @default.
- W2148530014 created "2016-06-24" @default.
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- W2148530014 date "2014-01-01" @default.
- W2148530014 modified "2023-10-15" @default.
- W2148530014 title "On density theorems for rings of Krull type with zero divisors" @default.
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- W2148530014 doi "https://doi.org/10.3906/mat-1307-24" @default.
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