Flat module (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Flat module" in English language version.

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Matsumura 1986, Theorem 7.10 Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University Press. ISBN 0-521-36764-6. MR 0879273. Zbl 0603.13001.
Chase 1960 Chase, Stephen U. (1960), "Direct products of modules", Transactions of the American Mathematical Society, 97 (3): 457–473, doi:10.2307/1993382, JSTOR 1993382, MR 0120260
Eisenbud 1995, Exercise 6.4 Eisenbud, David (1995), Commutative algebra, Graduate Texts in Mathematics, vol. 150, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-5350-1, ISBN 978-0-387-94268-1, MR 1322960
Matsumura 1986, Ch. 8, Exercise 22.1 Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University Press. ISBN 0-521-36764-6. MR 0879273. Zbl 0603.13001.
Lam 1999, p. 183 Lam, Tsit-Yuen (1999), Lectures on modules and rings, Graduate Texts in Mathematics No. 189, vol. 189, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-0525-8, ISBN 978-0-387-98428-5, MR 1653294
Bican, El Bashir & Enochs 2001 Bican, L.; El Bashir, R.; Enochs, E. (2001), "All modules have flat covers", Bull. London Math. Soc., 33 (4): 385–390, doi:10.1017/S0024609301008104, ISSN 0024-6093, MR 1832549
Richman 1997 Richman, Fred (1997), "Flat dimension, constructivity, and the Hilbert syzygy theorem", New Zealand Journal of Mathematics, 26 (2): 263–273, ISSN 1171-6096, MR 1601663

books.google.com

Matsumura 1986, Theorem 7.10 Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University Press. ISBN 0-521-36764-6. MR 0879273. Zbl 0603.13001.
Matsumura 1986, Ch. 8, Exercise 22.1 Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University Press. ISBN 0-521-36764-6. MR 0879273. Zbl 0603.13001.

doi.org

Cartier 1958, Lemme 5, p. 249 Cartier, Pierre (1958). "Questions de rationalité des diviseurs en géométrie algébrique". Bulletin de la Société Mathématique de France (in French). 86: 177–251. doi:10.24033/bsmf.1503.
Lazard 1969 Lazard, Daniel (1969), "Autour de la platitude", Bulletin de la Société Mathématique de France, 97: 81–128, doi:10.24033/bsmf.1675
Chase 1960 Chase, Stephen U. (1960), "Direct products of modules", Transactions of the American Mathematical Society, 97 (3): 457–473, doi:10.2307/1993382, JSTOR 1993382, MR 0120260
Eisenbud 1995, Exercise 6.4 Eisenbud, David (1995), Commutative algebra, Graduate Texts in Mathematics, vol. 150, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-5350-1, ISBN 978-0-387-94268-1, MR 1322960
Lam 1999, p. 183 Lam, Tsit-Yuen (1999), Lectures on modules and rings, Graduate Texts in Mathematics No. 189, vol. 189, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-0525-8, ISBN 978-0-387-98428-5, MR 1653294
Bican, El Bashir & Enochs 2001 Bican, L.; El Bashir, R.; Enochs, E. (2001), "All modules have flat covers", Bull. London Math. Soc., 33 (4): 385–390, doi:10.1017/S0024609301008104, ISSN 0024-6093, MR 1832549

ed.ac.uk

maths.ed.ac.uk

Artin, p. 3 Artin. "Deformation theory" (PDF). Archived (PDF) from the original on 18 November 2019.

jstor.org

Chase 1960 Chase, Stephen U. (1960), "Direct products of modules", Transactions of the American Mathematical Society, 97 (3): 457–473, doi:10.2307/1993382, JSTOR 1993382, MR 0120260

mit.edu

math.mit.edu

Artin 1999, Exercise (3) after Proposition III.5.2 Artin, Michael (1999). "Noncommutative Rings" (PDF).

ncatlab.org

"Amitsur Complex". ncatlab.org.

numdam.org

archive.numdam.org

Cartier 1958, Lemme 5, p. 249 Cartier, Pierre (1958). "Questions de rationalité des diviseurs en géométrie algébrique". Bulletin de la Société Mathématique de France (in French). 86: 177–251. doi:10.24033/bsmf.1503.

numdam.org

Lazard 1969 Lazard, Daniel (1969), "Autour de la platitude", Bulletin de la Société Mathématique de France, 97: 81–128, doi:10.24033/bsmf.1675

web.archive.org

Artin, p. 3 Artin. "Deformation theory" (PDF). Archived (PDF) from the original on 18 November 2019.

worldcat.org

Bican, El Bashir & Enochs 2001 Bican, L.; El Bashir, R.; Enochs, E. (2001), "All modules have flat covers", Bull. London Math. Soc., 33 (4): 385–390, doi:10.1017/S0024609301008104, ISSN 0024-6093, MR 1832549
Richman 1997 Richman, Fred (1997), "Flat dimension, constructivity, and the Hilbert syzygy theorem", New Zealand Journal of Mathematics, 26 (2): 263–273, ISSN 1171-6096, MR 1601663

zbmath.org

Matsumura 1986, Theorem 7.10 Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University Press. ISBN 0-521-36764-6. MR 0879273. Zbl 0603.13001.
Matsumura 1986, Ch. 8, Exercise 22.1 Matsumura, Hideyuki (1986). Commutative ring theory. Cambridge Studies in Advanced Mathematics. Vol. 8. Cambridge University Press. ISBN 0-521-36764-6. MR 0879273. Zbl 0603.13001.