Even a euclidean ring need not be an H-ring

DOI10.1080/00927878708823479zbMath0618.16016OpenAlexW1987436875MaRDI QIDQ3754762

Jay Shapiro, Peter Malcolmson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823479

zbMATH Keywords

polynomial ringsimple modulesskew fieldinjective hullnoetherian ringWeyl fieldH-ringweakly conjugate

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Divisibility, noncommutative UFDs (16U30) Division rings and semisimple Artin rings (16Kxx)

Cites Work

• Unnamed Item
• Theory of non-commutative polynomials
• Critical series over stable noetherian rings with applications to prime principal right ideal rings
• Homological independence of injective hulls of simple modules over commutative rings

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