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0.1. Artinian rings. Definition 0.1. A ring A is Artinian if it satisfies the DCC (Descending Chain Condition): every descending
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ARTINIAN RIGHT SERIAL RINGS A module with the lattice of its submodules linearly ordered under inclusion, is called a uniserial
![The Boolean lattice [H] for a semisimple Artinian ring R with |R-simp| = 2 | Download Scientific Diagram](https://www.researchgate.net/profile/Rogelio-Fernandez-Alonso/publication/308940296/figure/fig1/AS:769817032286208@1560550091490/The-Boolean-lattice-H-for-a-semisimple-Artinian-ring-R-with-R-simp-2_Q640.jpg "The Boolean lattice [H] for a semisimple Artinian ring R with |R-simp| = 2 | Download Scientific Diagram")
The Boolean lattice [H] for a semisimple Artinian ring R with |R-simp| = 2 | Download Scientific Diagram
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