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Almost split sequences for some non-classical lattice categories

Representation Of Algebras

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References

  1. Auslander, M.: Isolated singularities and almost split sequences. Representation theory II, Groups and orders, Springer Lecture Notes 1178, 194–242

    Google Scholar 

  2. Finite type implies isolated singularity. Orders and their applications, Springer Lecture Notes 1142, 1–4

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  3. Auslander, M-I. Reiten: Representation theory of artin algebras IV, V, VI. Comm. in Algebra 5 (1977), 443–518; 5 (1977), 519–554; 6 (1978), 257–300

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  4. Ringel, C.M.-K.W. Roggenkamp: Diagrammatic methods in the representation theory of orders. Journal of Algebra 60 (1979), 11–42

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  5. Simpson, D.: Vectorspace categories, right peak rings and their socle projective modules. Journal of Algebra 92, (1985), 532–571

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  6. Roggenkamp, K.W.: Auslander-Reiten species for socle determined categories of hereditary algebras and for generalized Bäckström orders. Mitt.Math.Sem. Gießen 159 (1983), 1–98

    MATH  Google Scholar 

  7. Roggenkamp, K.W.: Lattices over subhereditary orders and socle projective modules. Preprint Stuttgart 1985.

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© 1987 Springer-Verlag

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Roggenkamp, K.W. (1987). Almost split sequences for some non-classical lattice categories. In: Greuel, GM., Trautmann, G. (eds) Singularities, Representation of Algebras, and Vector Bundles. Lecture Notes in Mathematics, vol 1273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078851

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  • DOI: https://doi.org/10.1007/BFb0078851

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