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The following equivalent definitions of a left perfect ring R are found in Anderson and Fuller: [2]. Every left R-module has a projective cover.; R/J(R) is semisimple and J(R) is left T-nilpotent (that is, for every infinite sequence of elements of J(R) there is an n such that the product of first n terms are zero), where J(R) is the Jacobson radical of R.
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Let C be an additive category, or more generally an additive R-linear category for a commutative ring R. We call C a Krull–Schmidt category provided that every object decomposes into a finite direct sum of objects having local endomorphism rings. Equivalently, C has split idempotents and the endomorphism ring of every object is semiperfect.
A large metallic ring suspected to be debris from space crashed in southern Kenya’s Mukuku village on Monday, the country’s space agency said.. Villagers discovered the “red and hot” ring ...
Gafat Armament Engineering Complex is an Ethiopian arms industry and one of the military production facilities of the Metals and Engineering Corporation. [1] With its headquarters in Bishoftu, it specializes in producing wide range of infantry equipment that meet the requirement of the Ethiopian National Defense Force.
In the men's 1500 metres final Kenya's Timothy Cheruiyot set a quick pace and surged at the end to take the gold medal. Joshua Cheptegei of Uganda held off Yomif Kejelcha in the men's 10,000 metres final to claim his second world of the year, having already topped the 2019 IAAF World Cross Country Championships podium.
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In 2009 Ethiopia was a source country for men, women, and children subjected to trafficking in persons, specifically conditions of forced labor and forced prostitution. Girls from Ethiopia's rural areas were forced into domestic servitude and, less frequently, commercial sexual exploitation , while boys were subjected to forced labor in ...