Unique factorisation of normal elements in non-commutative rings

DOI10.1017/S001708950000759XzbMath0672.16001OpenAlexW2101658449MaRDI QIDQ3825193

David A. Jordan

Publication date: 1989

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001708950000759x

zbMATH Keywords

unique factorization domainprime elementnormal elementsprime left and right Noetherian ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Noetherian rings and modules (associative rings and algebras) (16P40) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (6)

On the factorization of non-commutative polynomials (in free associative algebras) ⋮ Factorization theory: from commutative to noncommutative settings. ⋮ Factorizations of Elements in Noncommutative Rings: A Survey ⋮ Non-commutative unique factorization rings with zero-divisors ⋮ Height-one prime ideals in semigroup algebras satisfying a polynomial identity ⋮ Direct sum decompositions of conformal rings

Cites Work

• Unnamed Item
• Normal Elements and Completions of Non-Commutative Noetherian Rings
• Non-commutative unique factorization domains
• Non-Commutative Unique Factorisation Rings
• Ore Extensions and Polycyclic Group Rings
• Noetherian Ore Extensions and Jacobson Rings
• Reflexive Primes, Localization and Primary Decomposition in Maximal Orders

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