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Lattices of normally indecomposable modules. (English) Zbl 0376.16032


MSC:

16Gxx Representation theory of associative rings and algebras
16P10 Finite rings and finite-dimensional associative algebras
18B99 Special categories
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References:

[1] Garrett Birkhoff, Lattice theory, Third edition. American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. · Zbl 0153.02501
[2] Peter Gabriel, Unzerlegbare Darstellungen. I, Manuscripta Math. 6 (1972), 71 – 103; correction, ibid. 6 (1972), 309 (German, with English summary). · Zbl 0232.08001 · doi:10.1007/BF01298413
[3] Peter Gabriel, Indecomposable representations. II, Symposia Mathematica, Vol. XI (Convegno di Algebra Commutativa, INDAM, Rome, 1971) Academic Press, London, 1973, pp. 81 – 104.
[4] A. Heller and I. Reiner, Indecomposable representations, Illinois J. Math. 5 (1961), 314 – 323. · Zbl 0111.03101
[5] A. V. Roĭter, Divisibility in the category of representations over a complete local Dedekind ring, Ukrain. Mat. Ž. 17 (1965), no. 4, 124 – 129 (Russian).
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