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Zimmermann-Huisgen, Birge; Zimmermann, Wolfgang

Algebraically compact rings and modules. (English) Zbl 0363.16017

Math. Z. 161, 81-93 (1978).
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Cited in 49 Documents

MSC:

16D50 Injective modules, self-injective associative rings
16P10 Finite rings and finite-dimensional associative algebras
16Gxx Representation theory of associative rings and algebras
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Full Text: DOI EuDML

References:

[1] Crawley, P., Jónsson, B.: Refinements for infinite direct decompositions of algebraic systems. Pacific J. Math.14, 797-855 (1964) · Zbl 0134.25504
[2] Fuchs, L.: Infinite abelian groups. Vol. I. New York-London: Academic Press 1970 · Zbl 0209.05503
[3] Goodearl, K.R.: Ring Theory. New York: Marcel Dekker 1976 · Zbl 0336.16001
[4] Gruson, L., Jensen, C.U.: Modules algébriquement compacts et foncteurs 93-1. C.R. Acad. Sci. Paris Sér. A276, 1651-1653 (1973) · Zbl 0259.18015
[5] Gruson, L., Jensen, C.U.: Deux applications de la notion deL-dimension. C.R. Acad. Sci. Paris Sér. A282, 23-24 (1976) · Zbl 0341.18010
[6] Lenzing, H.: Direct sums of projective modules as direct summands of their direct products. Comm. Algebra4, 681-691 (1976) · Zbl 0342.16024 · doi:10.1080/00927877608822130
[7] Oberst, U., Schneider, H.J.: Die Struktur von projektiven Moduln. Invent. Math.13, 295-304 (1971) · Zbl 0232.16020 · doi:10.1007/BF01406080
[8] Sandomierski, F.L.: Linearly compact modules and local Morita duality. In: Ring Theory. Proceedings of a Conference (Park City 1971), pp. 333-346. Editor R. Gordon. New York-London: Academic Press 1972
[9] Utumi, Y.: On continuous rings and self-injective rings. Trans. Amer. Math. Soc.118, 158-173 (1965) · Zbl 0144.27301 · doi:10.1090/S0002-9947-1965-0174592-8
[10] Warfield, R.B., Jr.: Purity and algebraic compactness for modules. Pacific J. Math.28, 699-719 (1969) · Zbl 0172.04801
[11] Warfield, R.B., Jr.: A Krull-Schmidt Theorem for infinite sums of modules. Proc. Amer. Math. Soc.22, 460-465 (1969) · Zbl 0176.31401 · doi:10.1090/S0002-9939-1969-0242886-2
[12] Warfield, R.B., Jr.: An isomorphic refinement theorem for abelian groups. Pacific J. Math.34, 237-255 (1970) · Zbl 0206.03401
[13] Warfield, R.B., Jr.: Exchange rings and decompositions of modules. Math. Ann.199, 31-36 (1972) · doi:10.1007/BF01419573
[14] Zimmermann, W.: Rein injektive direkte Summen von Moduln. Comm. Algebra5, 1083-1117 (1977) · Zbl 0371.16012 · doi:10.1080/00927877708822211
[15] Zimmermann, W.: ?-projektive Moduln. J. Reine Angew. Math.292, 117-124 (1977) · Zbl 0347.16016 · doi:10.1515/crll.1977.292.117
[16] Zimmermann-Huisgen, B.: Decomposability of direct products of modules. (to appear in J. of Algebra) · Zbl 0407.16016
[17] Swan, R.G.: AlgebraicK-Theory. Lecture Notes in Mathematics 76. Berlin-Heidelberg-New York: Springer 1968 · Zbl 0193.34601
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