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Homological properties of the ring of differential polynomials. (English) Zbl 0213.04501


MSC:

16S32 Rings of differential operators (associative algebraic aspects)
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References:

[1] Hyman Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466 – 488. · Zbl 0094.02201
[2] Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. · Zbl 0075.24305
[3] Carl Faith, Lectures on injective modules and quotient rings, Lecture Notes in Mathematics, No. 49, Springer-Verlag, Berlin-New York, 1967. · Zbl 0162.05002
[4] C. Faith, Algebra: Rings, modules and categories, Saunders, Philadelphia, Pa., 1969. · Zbl 0266.16001
[5] Nathan Jacobson, The Theory of Rings, American Mathematical Society Mathematical Surveys, vol. II, American Mathematical Society, New York, 1943. · Zbl 0060.07302
[6] Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37. Revised edition, American Mathematical Society, Providence, R.I., 1964. · Zbl 0144.27103
[7] E. R. Kolchin, Galois theory of differential fields, Amer. J. Math. 75 (1953), 753 – 824. · Zbl 0052.27301 · doi:10.2307/2372550
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