可除群
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2017/02/09 05:39 UTC 版)
参考文献
- Cartan, Henri; Eilenberg, Samuel (1999), Homological algebra, Princeton Landmarks in Mathematics, Princeton, NJ: Princeton University Press, pp. xvi+390, ISBN 0-691-04991-2, MR 1731415 With an appendix by David A. Buchsbaum; Reprint of the 1956 original
- Feigelstock, Shalom (2006), “Divisible is injective”, Soochow J. Math. 32 (2): 241–243, ISSN 0250-3255, MR 2238765
- Griffith, Phillip A. (1970). Infinite Abelian group theory. Chicago Lectures in Mathematics. University of Chicago Press. ISBN 0-226-30870-7.
- Hall, Marshall, jr (1959). The theory of groups. New York: Macmillan. Chapter 13.3.
- Kaplansky, Irving (1965). Infinite Abelian Groups. University of Michigan Press.
- Lam, Tsit-Yuen (1999), Lectures on modules and rings, Graduate Texts in Mathematics No. 189, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98428-5, MR 1653294
- Serge Lang (1984). Algebra, Second Edition. Menlo Park, California: Addison-Wesley.
- Matlis, Eben (1958). “Injective modules over Noetherian rings”. Pacific Journal of Mathematics 8: 511–528. doi:10.2140/pjm.1958.8.511. ISSN 0030-8730. MR 0099360 .
- Nicholson, W. K.; Yousif, M. F. (2003), Quasi-Frobenius rings, Cambridge Tracts in Mathematics, 158, Cambridge: Cambridge University Press, pp. xviii+307, doi:10.1017/CBO9780511546525, ISBN 0-521-81593-2, MR 2003785
- ^ Griffith, p. 6
- ^ Hall, p. 197
- ^ Griffith, p. 17
- ^ Griffith, p. 19
- ^ Lang, p. 106
- ^ Kaplansky 1965.
- ^ Griffith, p. 7
- ^ Feigelstock 2006.
- ^ Cartan & Eilenberg 1999.
- ^ Rotman 2009.
- ^ Lam 1999.
- ^ Nicholson & Yousif 2003.
- ^ Damiano 1979.
- ^ a b Lam 1999, pp. 70–73.
[前の解説]
「可除群」の続きの解説一覧
- 可除群のページへのリンク