Skew polynomial rings over semi-simple rings

DOI10.1016/0021-8693(71)90092-5zbMath0223.16005OpenAlexW1975814162MaRDI QIDQ2547933

Arun Vinayak Jategaonkar

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90092-5

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Free, projective, and flat modules and ideals in associative algebras (16D40) Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (12)

Convolutional codes with additional algebraic structure ⋮ On skew partial derivatives and a Hermite-type interpolation problem ⋮ Artinian quotient rings of group rings ⋮ Principal ideal group rings ⋮ Prime ideals in skew polynomial rings and quantized Weyl algebras ⋮ Associative rings ⋮ Partial Skew Polynomial Rings Over Semisimple Artinian Rings ⋮ Polynomes de ore, series formelles tordues et anneaux filters complets herediataires ⋮ Twisted rational functions and series ⋮ Endomorphisms, derivations, and polynomial rings ⋮ Anneaux de polynomes de ore sur des anneaux artiniens ⋮ Skew polynomial rings over orders in Artinian rings

Cites Work

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• Orders in Artinian rings
• On the global dimension of skew polynomial rings
• Left principal ideal rings
• Left principal ideal domains
• THE STRUCTURE OF PRIME RINGS WITH MAXIMUM CONDITIONS
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• PRI-RINGS AND IPRI-RINGS
• Orders in Artinian rings

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