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Semidistributive and distributively decomposable rings |
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| Authors: | A A Tuganbaev |
| Institution: | (1) Moscow Power Engineering Institute (University of Technology), Moscow, USSR |
| 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. Translated fromMatematicheskie Zemetki, Vol. 65, No. 2, pp. 307–313, February, 1999. |
| Keywords: | distributive module Noetherian ring right semidstributive ring right distributively decomposable ring distributive module uniserial module Krull dimension annihilator ideal |
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