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RINGS OF DEFINABLE SCALARS OF VERMA MODULES

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Publication:3502804
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DOI10.1142/S0219498807002430zbMath1152.03026OpenAlexW1996684806MaRDI QIDQ3502804

Sonia L'Innocente, M. Y. Prest

Publication date: 20 May 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498807002430

zbMATH Keywords

Verma modulevon Neumann regular ringZiegler spectrumpp formuladefinable scalar


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Model-theoretic algebra (03C60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)


Related Items

Exponentiations over the universal enveloping algebra of \(\text{sl}_2(\mathbb C)\), The nonstandard quantum plane, The universal abelian regular ring



Cites Work

  • Model theory of modules
  • The simple modules of certain generalized crossed products
  • Pure injective envelopes of finite length modules over a generalized Weyl algebra
  • Epimorphisms of rings, interpretations of modules and strictly wild algebras
  • Pseudo-finite dimensional representations of \(\text{sl}(2,k)\).
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