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Representation theory of Artin algebras. I. (English) Zbl 0285.16028


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)
16D40 Free, projective, and flat modules and ideals in associative algebras
16D50 Injective modules, self-injective associative rings
16E10 Homological dimension in associative algebras
16Exx Homological methods in associative algebras
18E05 Preadditive, additive categories
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References:

[1] Bourbaki N., Algebre Commutative
[2] Freyd P., Abelian Categories
[3] DOI: 10.1016/0001-8708(72)90002-3 · Zbl 0232.18009
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