Auslander, Maurice; Reiten, Idun Representation theory of Artin algebras. III: Almost split sequences. (English) Zbl 0331.16027 Commun. Algebra 3, 239-294 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 19 ReviewsCited in 245 Documents 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 Citations:Zbl 0285.16028; Zbl 0285.16029 PDF BibTeX XML Cite \textit{M. Auslander} and \textit{I. Reiten}, Commun. Algebra 3, 239--294 (1975; Zbl 0331.16027) Full Text: DOI OpenURL 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.