一様加群
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2014/11/05 15:28 UTC 版)
教科書
- Lam, Tsit-Yuen (1999), Lectures on modules and rings, Graduate Texts in Mathematics No. 189, Berlin, New York: Springer-Verlag, ,
一次情報源
- Fleury, Patrick (1974), “A note on dualizing Goldie dimension”, Canadian Mathematical Bulletin 17: 511–517,
- Goldie, A. W. (1958), “The structure of prime rings under ascending chain conditions”, Proc. London Math. Soc. (3) 8: 589–608, , , (21 \#1988)
- Goldie, A. W. (1960), “Semi-prime rings with maximum condition”, Proc. London Math. Soc. (3) 10: 201–220, , , (22 \#2627)
- Grezeszcuk, P; Puczylowski,E (1984), “On Goldie and dual Goldie dimension,”, Journal of Pure and Applied Algebra 31: 47–55,
- Hanna, A.; Shamsuddin, A. (1984), “Duality in the category of modules. Applications,”, Algebra Berichte 49 (Verlag Reinhard Fischer, Munchen)
- Miyashita, Y. (1966), “Quasi-projective modules, perfect modules, and a theorem for modular lattices”, J. Fac. Sci. Hokkaido Ser. I (contd. as Hokkaido Journal of Mathematics) 19: 86–110, , (35 \#4254)
- Reiter, E. (1981), “A dual to the Goldie ascending chain condition on direct sums of submodules”, Bull. Calcutta Math. Soc. 73: 55–63
- Sarath B.; Varadarajan, K. (1979), “Dual Goldie dimension II”, Communications in Algebra 7 (17): 1885–1899,
- Takeuchi, T. (1976), “On cofinite-dimensional modules.”, Hokkaido Journal of Mathematics 5 (1): 1–43, , , , (35 \#4254)
- Varadarajan, K. (1979), “Dual Goldie dimension”, Comm. Algebra 7 (6): 565–610, , , , (80d:16014)
- ^ uniform submodule すなわち部分加群であってそれ自身がユニフォーム加群になっているようなものの意味。
- ^ 同じ結果は (Reiter 1981) と (Hanna & Shamsuddin 1984) においても見つけられる
[前の解説]
「一様加群」の続きの解説一覧
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