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Homological properties of generic matrix rings

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Publication:1068166
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DOI10.1007/BF02772956zbMath0581.16013MaRDI QIDQ1068166

Lance W. Small, J. Toby Stafford

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

global dimensionmaximal orderiterated Ore extensionrings with polynomial identitytrace ringgeneric 2\(\times 2\) matricesgeneric matrix ringsstably free


Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Homological methods in associative algebras (16Exx) Rings with polynomial identity (16Rxx)


Related Items (1)

Regularity of trace rings of generic matrices



Cites Work

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  • Ordres maximaux au sens de K. Asano
  • The Poincaré series of the ring of 2x2 generic matrices
  • On the global dimension of rings
  • On the global dimension of skew polynomial rings - An Addendum
  • On the Stable Range of Right Noetherian Rings
  • Higher algebraic K-theory: I


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