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Almost split sequences in subcategories.(English)Zbl 0457.16017


MSC:

16Gxx Representation theory of associative rings and algebras
16P10 Finite rings and finite-dimensional associative algebras
16P20 Artinian rings and modules (associative rings and algebras)
16S20 Centralizing and normalizing extensions
16B50 Category-theoretic methods and results in associative algebras (except as in 16D90)

Cite

References:

[1]Auslander, M., Coherent functors, (Proceedings Conference on Categorical Algebra. Proceedings Conference on Categorical Algebra, La Jolla (1965), Springer-Verlag: Springer-Verlag New York/Berlin), 189-231 ·Zbl 0192.10902
[2]Auslander, M., Functors and morphisms determined by objects, (Proceedings, Conference at Temple University. Proceedings, Conference at Temple University, 1976. Proceedings, Conference at Temple University. Proceedings, Conference at Temple University, 1976, Lecture Notes in Pure and Applied Mathematics, Vol. 37 (1978), Dekker: Dekker New York) ·Zbl 0383.16015
[3]Auslander, M.; Platzeck, M. I., Representation theory of hereditary artin algebras, (Proceedings, Conference at Temple University. Proceedings, Conference at Temple University, 1976. Proceedings, Conference at Temple University. Proceedings, Conference at Temple University, 1976, Lecture Notes in Pure and Applied Mathematics, Vol. 37 (1978), Dekker: Dekker New York) ·Zbl 0378.16014
[4]Auslander, M.; Reiten, I., Stable equivalence of dualizing \(R\)-varieties, Advances in Math., 12, No. 3 (1974) ·Zbl 0285.16027
[5]Auslander, M.; Reiten, I., Representation theory of artin algebras. III. Almost split sequences, Comm. Algebra, 3, No. 3, 239-294 (1975) ·Zbl 0331.16027
[6]Auslander, M.; Reiten, I., Representation theory of artin algebras. IV. Invariants given by almost split sequences, Comm. Algebra, 5, 443-518 (1977) ·Zbl 0396.16007
[7]Auslander, M.; Smalø, S. O., Preprojective modules over artin algebras, J. Algebra, 66, 61-122 (1980) ·Zbl 0477.16013
[8]Bautista, R.; Martinez, R., Representations of partially ordered sets and 1-Gorenstein Artin Algebras, (Proceedings, Conference on Ring Theory. Proceedings, Conference on Ring Theory, Antwerp, 1978 (1979), Dekker: Dekker New York) ·Zbl 0707.16003
[9]Roggenkamp, K. W., Auslander-Reiten sequences for “nice” torsion theories of Artin algebras, Canad. Math. Bull., 23, No. 1, 61-65 (1980) ·Zbl 0434.16023
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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