Projective ideals of skew polynomial rings over HNP rings

DOI10.1080/00927872.2016.1233216zbMath1387.16021OpenAlexW2529687697MaRDI QIDQ5274850

Bülent Saraç, Akira Ueda, Hidetoshi Marubayashi, Pınar Aydoğdu, Evrim Akalan

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233216

zbMATH Keywords

skew polynomial ringprojective idealhereditary Noetherian prime ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Free, projective, and flat modules and ideals in associative algebras (16D40) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (6)

Generalized hereditary Noetherian prime rings ⋮ Positively graded rings which are maximal orders and generalized Dedekind prime rings ⋮ Strongly graded rings over hereditary Noetherian prime rings ⋮ Positively graded rings which are unique factorization rings ⋮ Strongly graded rings which are generalized Dedekind rings ⋮ Idealizers in Differential Polynomial Rings and Generalized HNP Rings

Cites Work

• Unnamed Item
• Prime divisors and noncommutative valuation theory.
• Ideals of hereditary Noetherian prime rings
• Non-commutative Dedekind rings
• Hereditary Noetherian prime rings
• Idealizers and hereditary Noetherian prime rings
• A skew polynomial ring over a v-hc order with enough V-inveriible ideals
• On the rings of the morita context which are some well-known orders

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