Author/Authors :
Emilia Wijayanti, Indah Department of Mathematics - Faculty of Mathematics and Natural Sciences Universitas - Gadjah Mada Sekip Utara Yogyakarta, Indonesia , Ernanto, Iwan Department of Mathematics - Faculty of Mathematics and Natural Sciences Universitas - Gadjah Mada Sekip Utara Yogyakarta, Indonesia , Marubayashi, Hidetoshi Department of Mathematics - Naruto University of Education Tokushima, Japan , Ueda, Akira Department of Mathematics - Shimane University Matsue, Japan
Abstract :
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.
Keywords :
Strongly graded ring , prime Goldie ring , Krull ring , v-invertible R-ideal
