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Weyl algebras are stably free. (English) Zbl 0409.16023

MSC:
16D40 Free, projective, and flat modules and ideals in associative algebras
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)
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References:
[1] Bass, H, Algebraic K-theory, (1968), Benjamin Menlo Park, Calif · Zbl 0174.30302
[2] Cartan, H; Eilenberg, S, Homological algebra, (1956), Princeton Univ. Press Princeton, N.J · Zbl 0075.24305
[3] Hart, R, Krull dimension and global dimension of simple ore extensions, Math. Z., 121, 341-345, (1971) · Zbl 0212.05801
[4] McConnell, J.C, A note on the Weyl algebra An, (), 89-98 · Zbl 0275.16005
[5] McConnell, J.C; Robson, J.C, Homomorphisms and extensions of modules over certain differential polynomial rings, J. algebra, 26, 319-342, (1973) · Zbl 0266.16031
[6] Rinehart, G.S; Rosenberg, A, The global dimension of ore extensions and Weyl algebras, () · Zbl 0336.16028
[7] Stafford, J.T, Stable structure of non-commutative Noetherian rings, J. algebra, 47, 244-267, (1977) · Zbl 0391.16009
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