Krull property of generalized power series rings |
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| Institution: | 1. Department of Mathematics, Chung-Ang University, Seoul 06974, Republic of Korea;2. Department of Mathematics Education, Chosun University, Gwangju 61452, Republic of Korea;1. Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam;2. Department of Mathematics, Pohang University of Science and Technology, Pohang 37673, Republic of Korea;1. School of Mathematics, Trinity College Dublin, Ireland;2. Hamilton Mathematics Institute, Ireland;1. Center for Complex Geometry, Institute for Basic Science (IBS), 55 Expo-ro, Yuseong-gu, Daejeon, 34126, Republic of Korea;2. Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, Republic of Korea;1. Universidade Tecnológica Federal do Paraná, 85053-525, Guarapuava-PR, Brazil;2. Universidade de São Paulo - ICMC, Caixa Postal 668, 13560-970, São Carlos-SP, Brazil;3. Universidade Federal da Paraíba, 58051-900, João Pessoa, PB, Brazil;4. Martin-Luther-Universität Halle-Wittenberg, Institut für Informatik, D-06 099 Halle (Saale), Germany;1. The Ohio State University at Lima, Lima, OH, USA;2. Università di Camerino, Camerino, Italy |
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| Abstract: | Let D be an integral domain and let be a torsion-free, ≤-cancellative, subtotally ordered monoid. We show that the generalized power series ring is a Krull domain if and only if D is a Krull domain and S is a Krull monoid. |
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| Keywords: | Generalized power series ring Krull monoid Krull domain |
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