Semiprime and semiperfect rings of Laurent series

DOI10.1007/BF02305188zbMath0897.16025MaRDI QIDQ1387324

Konstantin Sonin

Publication date: 4 August 1998

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

zbMATH Keywords

semiprimitive ringssemiperfect ringsprime right Goldie ringsrings of Laurent series

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noncommutative local and semilocal rings, perfect rings (16L30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (3)

Twisted Alexander invariants of knot group representations ⋮ ON CLEAN LAURENT SERIES RINGS ⋮ Laurent Series Ring over Semiperfect Ring Can Not be Semiperfect

Cites Work

• Twisted rational functions and series
• Krull Versus Global Dimension in Noetherian P.I. Rings
• A note on semiprimitivity of ore extensions
• Exchange rings, units and idempotents
• Malcev-neumann group rings
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