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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Every semiprimary ring is the endomorphism ring of a projective module over a quasihereditary ring
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by Vlastimil Dlab and Claus Michael Ringel PDF
Proc. Amer. Math. Soc. 107 (1989), 1-5 Request permission

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
    M. Auslander, Representation dimension of Artin algebras, Queen Mary College Mathematical Notes, (London), 1971.
  • E. Cline, B. Parshall, and L. Scott, Finite-dimensional algebras and highest weight categories, J. Reine Angew. Math. 391 (1988), 85–99. MR 961165
  • V. Dlab and C. M. Ringel, Quasi-hereditary algebras, Ill. J. Math. (to appear). —, Auslander algebras as quasi-hereditary algebras, J. London Math. Soc. (to appear). 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).
  • Leonard L. Scott, Simulating algebraic geometry with algebra. I. The algebraic theory of derived categories, The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986) Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI, 1987, pp. 271–281. MR 933417
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • 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