Structure of Right Artinian Algebras over a Field
Publications du Département de mathématiques (Lyon), no. 1 (1994), pp. 1-121.
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Hacque, Michel. Structure of Right Artinian Algebras over a Field. Publications du Département de mathématiques (Lyon), no. 1 (1994), pp. 1-121. http://www.numdam.org/item/PDML_1994___1_A1_0/

[1] N. Bourbaki, Algèbre Ch. 8 Modules et anneaux semi-simples, Paris, Hermann, (Act. Sc. et Ind. 1261, Eléments de Mathématiques). | Zbl

[2] H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, (1956). | MR | Zbl

[3] J. Dieudonné, Sur les systèmes hyper complexes J. Reine Angew. Math, 184, (1942), 178-192. | MR | Zbl

[4] J. Dieudonné, Sur le socle d'un anneau et les anneaux simples infinis, Bull.Soc. Math. France, 70, (1942), 46-75. | JFM | MR

[5] J. Dieudonne, Les idéaux minimaux dans les anneaux associatifs, Proc. Int. Cong. Math., Cambridge, Mass., (1950), V.2. | Zbl

J. Dieudonné, Les idéaux minimaux dans les anneaux associatifs, Amer. Math. Soc., Providence, (1952), 44-48. | MR | Zbl

[6] A.W. Goldie, Torsion-Free Modules and Rings, J. Algebra, 1, (1964), 268-287. | MR | Zbl

[7] M. Hacque, Mono-sous-catégorie d'une catégorie de modules, Publ. Dép. Math. Sc. de Lyon, 6, fasc. 1, (1969), 13-48. | Numdam | MR | Zbl

[8] M. Hacque, Quelques remarques sur la notion de socle, Comm. in Algebra, 10, (1982), 1003-1025. | MR | Zbl

[9] M. Hacque, Anneaux fidèlement représentés sur leur socle droit, Comm. in Algebra, 10, (1982), 1027-1072. | MR | Zbl

[10] M. Hacque, Some new invariants for right Artinian rings, Comm. in Algebra, (to appear), | MR | Zbl

[11] G. Hochschild, On the Cohomology groups of an associative algebra, Ann. of Math, 46, (1945), 58-67. | MR | Zbl

[12] G. Hochschild, On the Cohomology Theory for associative algebras, Ann. of Math, 42, (1946), 568-579. | MR | Zbl

[13] G. Hochschild, Cohomology and representations of associative algebras, Duke Math. J, 14, (1947), 921-948. | MR | Zbl

[14] G. Hochschild and J.P. Serre, Cohomology of group Extensions, Trans. Amer. Math. Soc., 74, (1953), 110-134. | MR | Zbl

[15] S. Mac Lane, Extensions and Obstructions for Rings, III. J. Math., 2, (1958), 316-345. | MR | Zbl

[16] S. Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, 114, Springer-Verlag, Berlin, (1967). | MR | Zbl

[17] R.S. Pierce, Associative Algebras, Graduate Texts in Mathematics, Springer-Verlag, New York Heidelberg Berlin (1982). | MR | Zbl