STRONGLY GRADED RINGS WHICH ARE KRULL RINGS.

Autor: Wijayanti, I. E., Marubayashi, H., Ernanto, I., Ueda, A.
Předmět:
Zdroj: International Electronic Journal of Algebra; 2019, Vol. 25, p120-128, 9p
Abstrakt: Let R = ⊕n∈ZRn be a strongly graded ring of type Z and ∣R0 is a prime Goldie ring. It is shown that the following three conditions are equivalent: (i) R0 is a Z-invariant Krull ring, (ii) R is a Krull ring and (iii) R is a graded Krull ring. We completely describe all v-invertible R-ideals in Q, where Q is a quotient ring of R. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index