Strongly graded rings which are generalized Dedekind rings

DOI10.1142/S0219498820500437zbMath1443.16049OpenAlexW2912287444MaRDI QIDQ4960272

Sri Wahyuni, Iwan Ernanto, Sutopo, Hidetoshi Marubayashi

Publication date: 14 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500437

zbMATH Keywords

maximal ordergraded ringDedekind ringhereditary Noetherian prime ringprime Goldie ring

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Cites Work

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• Ore-Rees rings which are maximal orders.
• Prime divisors and noncommutative valuation theory.
• On generalized Dedekind prime rings.
• Generalized hereditary Noetherian prime rings
• Non commutative unique factorization rings
• Graded rings over arithmetical orders
• Arithmetically graded rings revisited
• Projective ideals of skew polynomial rings over HNP rings

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