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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Stable equivalence for some categories with radical square zero
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by Idun Reiten PDF
Trans. Amer. Math. Soc. 212 (1975), 333-345 Request permission

Abstract:

For certain abelian categories with radical square zero, containing artin rings with radical square zero as a special case, we give a way of constructing hereditary abelian categories stably equivalent to them, i.e. such that their categories modulo projectives are equivalent categories.
References
    M. Auslander, Representation dimension of artin algebras, Queen Mary College Notes, 1971.
  • Maurice Auslander, Representation theory of Artin algebras. I, II, Comm. Algebra 1 (1974), 177–268; ibid. 1 (1974), 269–310. MR 349747, DOI 10.1080/00927877408548230
  • Maurice Auslander and Idun Reiten, Stable equivalence of Artin algebras, Proceedings of the Conference on Orders, Group Rings and Related Topics (Ohio State Univ., Columbus, Ohio, 1972) Lecture Notes in Math., Vol. 353, Springer, Berlin, 1973, pp. 8–71. MR 0335575
  • Maurice Auslander and Idun Reiten, Stable equivalence of dualizing $R$-varieties, Advances in Math. 12 (1974), 306–366. MR 342505, DOI 10.1016/S0001-8708(74)80007-1
  • —, Stable equivalence of dualizing R-varieties. III: Dualizing R-varieties stably equivalent to hereditary R-varieties, Advances in Math. 17 (1975).
  • Robert M. Fossum, Phillip A. Griffith, and Idun Reiten, Trivial extensions of abelian categories, Lecture Notes in Mathematics, Vol. 456, Springer-Verlag, Berlin-New York, 1975. Homological algebra of trivial extensions of abelian categories with applications to ring theory. MR 0389981
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 212 (1975), 333-345
  • MSC: Primary 18E05
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0382396-2
  • MathSciNet review: 0382396