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Representation theory of Artin algebras. III: Almost split sequences. (English) Zbl 0331.16027


MSC:

16Gxx Representation theory of associative rings and algebras
16P10 Finite rings and finite-dimensional associative algebras
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16D90 Module categories in associative algebras
16D40 Free, projective, and flat modules and ideals in associative algebras
16D50 Injective modules, self-injective associative rings
16Exx Homological methods in associative algebras
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References:

[1] Auslander, M. Coherent functors. Proceedings of the Conference on Categorical Algebra. La Jolla. pp.189–231. New York: Springer-Verlag. · Zbl 0192.10902
[2] Auslander M., Topology 8 pp 151– (1969) · Zbl 0204.36401
[3] Auslander M., Representation dimension of Artin algebras (1971) · Zbl 0331.16026
[4] Auslander M., Communications in Algebra 1 (3) pp 177– (1974) · Zbl 0285.16028
[5] Auslander M., Memoirs of the Amer. Math. Soc 94 (3) (1969)
[6] Auslander M., Adv. in Math 12 (3) pp 306– (1974) · Zbl 0285.16027
[7] Cartan H., Homological Algebra (1956)
[8] Gabriel P., Man. Math 6 pp 71– (1972) · Zbl 0232.08001
[9] Hartshorne R., Local Cohomology 41 (1967) · Zbl 0185.49202
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