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On generalized uniserial rings and decompositions that complement direct summands. (English) Zbl 0234.16023


MSC:

16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16G99 Representation theory of associative rings and algebras
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References:

[1] Anderson, F. W., Fuller, K. R.: Modules with decompositions that complement direct summands. J. Algebra22, 241-253 (1972). · Zbl 0242.16025 · doi:10.1016/0021-8693(72)90145-7
[2] Eckmann, B., Schöpf, A.: Über injective Modulen. Arch. Math.4, 75-78 (1959). · Zbl 0050.25904 · doi:10.1007/BF01899665
[3] Murase, I.: On the structure of generalized uniserial rings III. Sci. Papers College Gen. Ed. Univ. Tokyo13, 11-25 (1964). · Zbl 0215.38304
[4] Nakayama, T.: On Frobenius algebras II, Ann. Math.42, 1-22 (1941). · JFM 67.0092.04 · doi:10.2307/1968984
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