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Proceedings of the American Mathematical Society

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Every semiprimary ring is the endomorphism ring of a projective module over a quasihereditary ring


Authors: Vlastimil Dlab and Claus Michael Ringel
Journal: Proc. Amer. Math. Soc. 107 (1989), 1-5
MSC: Primary 16A46; Secondary 16A65
DOI: https://doi.org/10.1090/S0002-9939-1989-0943793-2
MathSciNet review: 943793
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Abstract | References | Similar Articles | Additional Information

Abstract: The paper provides a proof of the following statement: Given a semiprimary ring $ R$, there is a quasi-hereditary ring $ A$ and an idempotent $ e \in A$ such that $ R \simeq eAe$.


References [Enhancements On Off] (What's this?)

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  • [CPS] E. Cline, B. Parshall and L. Scott, Finite dimensional algebras and highest weight categories, J. Reine Angew. Math. 391 (1988), 85-99. MR 961165 (90d:18005)
  • [DR $ _{1}$] V. Dlab and C. M. Ringel, Quasi-hereditary algebras, Ill. J. Math. (to appear).
  • [DR $ _{2}$] -, Auslander algebras as quasi-hereditary algebras, J. London Math. Soc. (to appear).
  • [PS] B. Parshall and L. Scott, Derived categories, quasi-hereditary algebras and algebraic groups, Proc. Ottawa-Moosonee Workshop in Algebra, Carleton Univ. Notes No. 3 (1988).
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0943793-2
Article copyright: © Copyright 1989 American Mathematical Society

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