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Semidistributive and distributively decomposable rings

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Abstract

A module is said to be distributive if the lattice of all its submodules is distributive. A module is called semidistributive if it is a direct sum of distributive modules. Right semidistributive rings, as well as distributively decomposable rings, are investigated.

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Translated fromMatematicheskie Zemetki, Vol. 65, No. 2, pp. 307–313, February, 1999.

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Tuganbaev, A.A. Semidistributive and distributively decomposable rings. Math Notes 65, 253–258 (1999). https://doi.org/10.1007/BF02679824

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