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
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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
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