@article{PDML_1974__11_2_19_0, author = {Harada, Manabu}, title = {Applications of {Factor} {Categories} to {Completely} {Indecomposable} {Modules}}, journal = {Publications du D\'epartement de math\'ematiques (Lyon)}, pages = {19--104}, publisher = {Universit\'e Claude Bernard - Lyon 1}, volume = {11}, number = {2}, year = {1974}, mrnumber = {364356}, zbl = {0335.13006}, language = {en}, url = {http://www.numdam.org/item/PDML_1974__11_2_19_0/} }
TY - JOUR AU - Harada, Manabu TI - Applications of Factor Categories to Completely Indecomposable Modules JO - Publications du Département de mathématiques (Lyon) PY - 1974 SP - 19 EP - 104 VL - 11 IS - 2 PB - Université Claude Bernard - Lyon 1 UR - http://www.numdam.org/item/PDML_1974__11_2_19_0/ LA - en ID - PDML_1974__11_2_19_0 ER -
%0 Journal Article %A Harada, Manabu %T Applications of Factor Categories to Completely Indecomposable Modules %J Publications du Département de mathématiques (Lyon) %D 1974 %P 19-104 %V 11 %N 2 %I Université Claude Bernard - Lyon 1 %U http://www.numdam.org/item/PDML_1974__11_2_19_0/ %G en %F PDML_1974__11_2_19_0
Harada, Manabu. Applications of Factor Categories to Completely Indecomposable Modules. Publications du Département de mathématiques (Lyon), Tome 11 (1974) no. 2, pp. 19-104. http://www.numdam.org/item/PDML_1974__11_2_19_0/
[1] Correction and supplementaires to my paper concering Krull-Remak-Schmidt'theorem, Nagoya Math. J. 1 (1950). | MR | Zbl
,[2] Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960). | MR | Zbl
,[3] Direct products of modules, Trans. Amer. Math. Soc. 97 (1960). | MR | Zbl
,[4] Refinements for infinite direct decomposition of algebraic system, Pacific J. Math. 14 (1964). | MR | Zbl
and ,[5] Catégories et structures, Dunod, Paris, 1965. | MR | Zbl
,[6] Zu dem Satz von Krull-Remak-Schmidt-Azumaya, Math. Z. 115 (1970). | MR | Zbl
,[7] Interdirekte Summen von Moduln, J. Algebra, 18 (1971). | MR | Zbl
,[8] Lectures on Injective Modules and Quotient Rings, Lecture Notes in Math. 49 (1967). | MR | Zbl
,[9] Direct sum representations of injective modules, J. ALGEBRA 5 (1967). | MR | Zbl
and ,[10] Sommes directes de sous-modules co-irréductibles d'un module, Math. Z. 103 (1968). | MR | Zbl
,[11] Abelian categories, New York, Harper and Row, 1964. | MR | Zbl
,[12] On quasi-injective modules, Annali della Scuola Norm. Sup. Pisa, 23 (1969). | Numdam | MR | Zbl
,[13] Spektralkategorien und regulare Rings in Von Neumann Sinn, Math. Z. 92 (1966). | MR | Zbl
and ,[14] Caractérisation des catégories abéliennes avec générateurs et limites inductives exactes, C.R. Acad. Sci. Paris, 258 (1964). | Zbl
and ,[15] Torsion-Free modules and rings, J. Algebra, 1 (1964). | MR | Zbl
,[16] On semi-simple abelian categories , Univ. de Buenos Aires (Osaka J. Math. 5 (1968)). | MR | Zbl
,[17] On categories of indecomposable modules I, Osaka J. Math. 7 (1970). | MR | Zbl
, and ,[18] On categories of indecomposable modules II, Osaka J. Math. 8 (1971). | MR | Zbl
,[19] On categories of projective modules, Osaka J. Math., 9 (1971). | MR | Zbl
and ,[20] Supplementary remarks on categories of indecomposable modules, Osaka J. Math. 9 (1972). | MR | Zbl
,[21] Note on categories of indecomposable modules, Pub. Math. Univ. Lyon. T. 9. (1972). | Numdam | MR | Zbl
,[22] On perfect categories I~IV, Osaka J. Math. 10 (1973). | MR | Zbl
,[23] Self-injective rings, Can. Math. Bull. 2 (1969). | MR | Zbl
and ,[24] Note on Krull-Remak-Schmidt-Azumaya' theorem, Osaka J. Math. 9 (1972). | Zbl
,[25] Problem of Krull-Remak-Schmidt-Azumaya-Matlis, J. Indian Math. Soc. 35 (1971). | MR | Zbl
,[26] Projective modules, Ann. of Math. 68 (1958). | MR | Zbl
,[27] On the radical of a category, J. Austral.Math. Soc. 4 (1964). | MR | Zbl
,[28] Semi-perfect modules, Math. Z. 83 (1963). | MR | Zbl
,[29] Injectives modules over noetherian rings, Pacific J. Math. 8 (1958). | MR | Zbl
,[30] Theory of categories, Academic Press, 1965. | MR | Zbl
,[31] Quasi-injective modules, Perfect modules and a theorem for modular lattices, J. Fac. Sci. Hokkaido Univ. 12 (1966). | MR | Zbl
,[32] On algebraically closed modules, Publ. Math. Debrecen 6 (1959). | MR | Zbl
,[33] On the radical of rings of row-finite matrices, Proc. Royal Soc. Edinburgh 66 (1962). | MR | Zbl
,[34] Lectures on Rings and Modules (Closure Spaces with Applications to Ring Theory), Lecture Notes in Math. 246 Springer-Verlag. | MR | Zbl
,[35] On regular categories, Osaka J. Math. 7 (1970). | MR | Zbl
,[36] The radical of the row-finite matrices over an arbitrary ring, Trans. Amer. Math. Soc. 139 (1965). | MR | Zbl
and ,[37] The radical of the endomorphism ring of a projective modules, Proc. Amer. Math. Soc. 26 (1970). | MR | Zbl
and ,[38] A Krull-Remak-Schmidt theorem for infinite sums of modules, Proc. Amer. Math. Soc. 22 (1969). | MR | Zbl
,[39] Decomposition of injective modules, Pacific J. Math. 31 (1969). | MR | Zbl
,[40] Non-singular and Matlis'problem, Sci. Rep. Tokyo Kyoiku-Daigaku, 11 (1972). | MR | Zbl
,[41] A note on a Problem of Matlis, Proc Japan Acad. Sci. 49 (1973). | MR | Zbl
,[42] Completely decomposable modules which have the exchange property, to appear.
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